The line of reflection is the line that bisects the line joining any point on the shape ABC and a corresponding point on the shape A'B'C'.

S

Step 1: Find the gradient of the line AA'.

Sequence: 0, 4, 8, 12,...

Find the 18th term.

**Answer:**

68

**Step-by-step explanation:**

A sample of 342 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified according tomajor ("blology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table below.Biology Business Engineering Mathematics Computer scienceFemale4623501837Male4815461544What is the relative frequency of male students in the sample?Round your answer to two decimal places.0Х5.?

The relative frequency of an event is **the quotient of the division between the event and the total number of the sample**

From the given table

Add the numbers of males to find their total

[tex]48+15+46+15+44=168[/tex]Then add the numbers of females and males to find the total of the sample

[tex]168+46+23+50+18+37=342[/tex]Now, divide the number of males by the total to find the relative frequency

[tex]\begin{gathered} R\mathrm{}F=\frac{168}{342} \\ R\mathrm{}F=0.4912280702 \end{gathered}[/tex]Round it to 2 decimal places, then

**The relative frequency of the male students = 0.49**

Which function is the inverse of fix) = V5767O A.(-40) =3622 + 2. for = > 0O B.1-1(0) =652 + 2, for = ≥ 0O C.+ 2. for I > 0O D.f-11) = 6522. for r > 0

**Given:**

The function is

[tex]f(x)=\frac{\sqrt{x-2}}{6}[/tex]**Required:**

Find the inverse of the function.

**Explanation:**

The given function is:

[tex]f(x)=\frac{\sqrt{x-2}}{6}[/tex]Put

[tex]f(x)=y[/tex][tex]y=\frac{\sqrt{x-2}}{6}[/tex]Interchange x and y.

[tex]x=\frac{\sqrt{y-2}}{6}[/tex]Take the square on both sides.

[tex]x^2=\frac{y-2}{36}[/tex][tex]\begin{gathered} 36x^2=y-2 \\ y=36x^2+2 \end{gathered}[/tex]Substitute

[tex]y=f^{-1}(x)[/tex][tex]f^{-1}(x)=36x^2+2[/tex]**Final Answer:**

Option A is the correct answer.

Please asnwer corrrectly and if you could explain or not

**Answer:**

y = 4·0.5^x

**Step-by-step explanation:**

If x is increased by 1, y is multiplied by 0.5.

x | y

0 | 4

1 | 4·0.5

2 | 4·0.5·0.5

3 | 4·0.5·0.5·0.5

pls help this is due today and i have no idea what i am doing

(this isnt math but i didnt see music)

Why is it important for musicians to transcribe music?

Why do you think Beethoven’s story is unique (special)?

What are some ways that we can get better at active listening?

Below is a picture of a musical staff. What is a musical staff? What do the top lines and the bottom lines represent?

an image showing both staffs

What is a musical form? How does it make music more interesting?

Answer: look at explanation

Step-by-step explanation:

1. It helps you learn and listen to minor details in music better.

2. He had a handicap (partially deaf/deaf) but still managed to overcome and lay his mark in the music world.

3. Pay attention, eye contact, listen, pay attention to nonverbal cues, and show that you are listening

4. A foundation on which notes are drawn on. The lines represent a sound in music. A musical form is the structure of musical compositions. It makes music more interesting because it makes it organized and not jumbled up.

4to the fitth power times 4 negative 7 expnent

**Answer:**

-16,777,216

**Step-by-step explanation:**

4 to the fifth power =1024

-4 to the seventh power = 16, 384

1024 × -16, 384 =

- 16,777,216

4^5 x 4^-7 = 4^(5 + -7) = 4^-2 = 1/(4^2) = 1/16 [= 0.0625 if you want a decimal answer]

The answer to which situation is best estimated by -7? How can you estimate decimal amounts?A The temperature falls 1.9°F from 4.3°F.B A hot air balloon rises 4.1 meters from the ground and then rises 2.3 meters more.C A submarine goes 3.8 feet below the surface of the ocean and then goes 2.5 feet farther downD The amount of money Sarah has after she buys milk for $3.85 and bread for $2.45.

**Answer:**

C A submarine goes 3.8 feet below the surface of the ocean and then goes 2.5 feet farther down

**Explanation:**

Option A

[tex]\begin{gathered} 4.3^0F\approx4^0F \\ 1.9^0F\approx2^0F \\ \text{Estimated change in temperature=}4^0F-2^0F=2^0F \end{gathered}[/tex]Option B

[tex]\begin{gathered} 4.1\text{ meters}\approx4\text{ meters} \\ 2.3\text{ meters}\approx2\text{ meters} \\ \text{Estimated change in the balloons's height}=4-2=2\text{ meters} \end{gathered}[/tex]Option C

[tex]\begin{gathered} -3.8f\exponentialE et\approx-4\text{ feet} \\ -2.5f\mathrm{e}et\approx-3\text{ feet} \\ \text{Estimated change in depth=}-4-3=-7\text{ feet} \end{gathered}[/tex]Option D

[tex]\begin{gathered} \$3.85\approx\$4 \\ \$2.45\approx\$2 \\ \text{Change in the amount Sarah has=-}\$4-\$2=-\$6 \end{gathered}[/tex]**The situation that is best estimated by -7 is Option C.**

11A family went out to dinner. The cost of their meal was $689, before sales tax and tip.A sales tax of 8% was added.(a)The family then tipped 20% on the amount after the sales tax was added,Part AWhat was the amount, rounded to the nearest cent, of just the sales tax?Show all of your work and record your final answer in the space below.Click the box below to type your math work and answer.On the right side of the box, click thebutton to start a new line.

The cost of the meal before the sales tax and tip= $689

Sales tax = 8%

The family then tipped 20% on the ammount after the sales was added

PART A

The amount of the sales tax can be calculated as follows

Amount of sales tax = sales tax * the amount of the meal

Amount of sales tax = 8% x $689

Amount of sales tax = 8/100 x 689

Amount of sales tax = 0.08 x 689

Amount of sales tax = $55.12

**Therefore, the amount of sales tax is $55.12**

**PART B**

**What is the total amount paid by the family after adding the tax sales and 20% tipping**

The cost of the meal = $689

Amount of sales tax = $55. 12

20% tipping on the amount after the sales tax was added

Amount of the meal after the sales has been added = $689 + $55.12

**Amount of the meal after the sales tax has been added = $744. 12**

20% tipping of the total amount = 20% x 744.12

= 20/100 x 744.12

= 0.2 x 744.12

= $148.82

The total amount paid by the family = 689 + 55.12 + 148.82

**The total amount = $892.94**

**Therefore, the family paid a total amount of $892.94**

Describe the

transformation from the

graph of of to the graph

of g.

In the picture, there is table with **functions**. g(x)=-f(x)

The **graph **of g is negative 1 times of **graph **of f.

Given that,

In the picture, there is table with **functions**.

We have to find the transformation from the **graph **of f to the **graph **g.

The table has **functions **with the numbers.

x values as -2,-2,0,1

**Function **f(x) as 4,1,0,1

**Function **g(x) as -4,-1,0,-1

The f(x) **function **we can write as

f(x)=x²

And the g(x) **function **we can write as

g(x)=-x²

Therefore, g(x)=-f(x)

The **graph **of g is negative 1 times of **graph **of f.

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. Find the slope and y-intercept of the line shown below.to10-8--10-8-6-4-2.co6-4-2---2--4--6--8--10-yX4 6 8 10

**Solution:**

Given the graph:

Using two points on the line to find the slope, **m**:

Thus, **the y-intercept and slope, m of the line respectively are:**

Leonard is 68 years less than quadruple Sheldon's age. In 12 years, Leonard's age will be 24 years less than two times Sheldon's age. What are their 2 ages?

Sheldon is** 16 4/7 **years old, while **Leonard is 21 1/7.**

We are given the **correlations **between **two numbers **in this sort of query, specifically the data when their ages are contrasted now and in the **future**.

Let **x **represent** Leonard's age.**

We can infer **Sheldon's age **from the question as being** 4x - 68.**

The following **equation **results from the question:

**x + 12 = 2((4x - 68) + 12) - 24**

Fix x,

=> **x + 12 = 2(4x - 68 + 12) - 24**

x + 12 = 2(4x - 56) - 24

x + 12 = 8x - 112 - 24

x - 8x = -136 - 12

-7x = - 148

**x = 148 / 7 or 21 1/7**

Now, simply multiply **4x by 68 **to get Sheldon's age.

=> 4x - 68

=> 4 * 148/7 - 68

=> 592/7 - 68

=>** 116/7 or 16 4/7**

Leonard is therefore** 21 1/7 years old, **while Sheldon is** 16 4/7.**

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Please help me with this question

**Step-by-step explanation:**

substitution means to use one equation to express one variable only in terms of the other variable and constants.

let's use

6f + 11b = 317

for that purpose.

6f = 317 - 11b

f = (317 - 11b)/6

now we use that my substituting "f" by its identical expression in b in the second equation :

7(317 - 11b)/6 + 5b = 221

to avoid handling fractions we multiply everything by 6 :

7(317 - 11b) + 30b = 1326

2219 - 77b + 30b = 1326

893 - 47b = 0

893 = 47b

b = 893/47 = 19 cents

f = (317 - 11b)/6 = (317 - 11×19)/6 = (317 - 209)/6 =

= 108/6 = 18 cents

a piece of fudge is 18 cents.

a piece of bubble gum is 19 cents.

The US postal charges $.34 for the 1st ounce and $.23 for each additional ounce. use inequality to find the maximum number of whole ounces that can be mailed for $8.27

Answer:Explanations:

The charges for the first ounce = $0.34

Charges for each additional ounce = $0.23

Let the number of additional ounces be n

The maximum total charges = $8.27

The inequality that represents the given illustration is:

0.34 + 0.23n ≤ 8.27

0.23n ≤ 8.27 - 0.34

0.23n ≤ 7.93

n ≤ 7.93 / 0.23

n ≤ 34.48

Maximum number of whole ounces = Number of additional ouces + Initial ounce

Maximum number of whole ounces = 34.48 + 1

Maximum number of whole ou

A gardening shop receives a shipment of 12 crates of plants. Each crate contains 18 plants. A worker displays all the plants on 24 shelves with the same number of plants on each shelf. How many plants are displayed on each shelf?

A. 6

B. 16

C. 9

D. 36

Thanks!

**Answer:16**

**Step-by-step explanation:**

Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2D) y = 2

*Answer*

**B) y = 3**

*Step-by-step explanation*

Given the system of equations:

[tex]\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}[/tex]Isolating x from equation 1:

[tex]\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}[/tex]Substituting equation 3 into equation 2 and solving for y:

[tex]\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}[/tex]

**Answer:**

y=3

**Step-by-step explanation: **

**Got it right :/**

2. The design of the Trieste was based on the design of a hot air balloon built by Auguste Piccard, Jacques's father. In 1932, Auguste rode in his hot-air balloon up to a record-breaking height.A. Auguste's ascent took 7 hours and went up 51,683 feet. Write a relationship y = kx to represent his ascent from his starting location.B. Auguste's descent took 3 hours and went down 52,940 feet. Write another relationship to represent his descent. C. Did Auguste Piccard end up at a greater or lesser altitude than his starting point? How much higher or lower?

**ANSWER**

A. y = 7383.3x

B. y = 17646.7x

C. Lesser altitude; 1257 feet

**EXPLANATION**

A. We want to write a proportional relationship between the time it took him to ascend and the total height he reached:

y = kx

where x = time taken

y = distance (height reached)

k = constant of proportionality

We have to** find k for the relationship.**

So, we have that:

[tex]\begin{gathered} 51683\text{ = k }\cdot\text{ }7 \\ \Rightarrow\text{ k = }\frac{51683}{7} \\ k\text{ = }7383.3\text{ ft/hr} \end{gathered}[/tex]**This constant of proportionality **(between distance and time) **is called speed**.

Therefore, **the relationship for his ascent** is:

**y = 7383.3x**

B. For his descent, we also have to find k in:

y = kx

We have that:

[tex]\begin{gathered} 52940\text{ = k }\cdot\text{ 3} \\ k\text{ = }\frac{52940}{3} \\ k=\text{ }17646.7\text{ ft/hr} \end{gathered}[/tex]Therefore, **the relationship for his descent **is:

**y = 17646.7x**

C. To find out if he reached a greater or lesser altitude than his starting point, we have** to subtract his altitude during ascent from his altitude during descent.**

If the value is positive then he ended up at a lesser altitude but if it is negative, he ended up on a greater altitude.

That is:

52940 - 51683

= **1257 feet**

Since it is positive, that means that he descended more feet than he ascended and so, **he ended up at a lesser altitude than his starting point, 1257 higher**.

Bryant measured a house and made a scale drawing the scale he used was 1 inch = 1 foot what scale factor does the drawing use?

The **scale factor **which is being used by this drawing is 1 : 12.

A **scale factor** can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar **geometric** figures such as equilateral triangles, river, planets in our solar system, etc.

Mathematically, the **scale factor **of a **geometric** figure can be calculated by using tis formula:

Scale factor = Dimension of image/Dimension of original figure

Generally speaking, an appropriate **conversion factor** to an equal value must be used when it is necessary to perform any mathematical **conversion**.

Conversion:

1 inch = 1 foot

12 inches = 1 foot

Therefore, the **scale factor **for this drawing is 1 : 12.

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State the number of possible real zeros and turning points of f(x) = x^7 – 6x^6 + 8x^5. Then determine all of the real zeros by factoring. 1) 7 real zeros and 6 turning points; 0, 2, and 42) 7 real zeros and 6 turning points; 0, –2, and –43) 6 real zeros and 5 turning points; 0, 2, and 44) 6 real zeros and 5 turning points; 0, –2, and –4

Step 1

The given equation is

[tex]f(x)=x^7-6x^6+8x^5[/tex]Required: To find the real zeroes by factorization and the turning points.

Step 2

Find the number of real zeroes

[tex]\begin{gathered} x^7-6x^6+8x^5=0 \\ x^5\mleft(x-2\mright)\mleft(x-4\mright)=0 \\ x^5=\text{ 0} \\ x\text{ = 0 five times} \\ ^{}or\text{ } \\ x-2\text{ = 0} \\ x=\text{ 2} \\ or \\ x-4=0 \\ x=\text{ 4} \\ \text{Therefore, there are 7 real zeroes} \end{gathered}[/tex]Step 3

Find the number of turning points.

[tex]f^{\prime}(x)\text{ = }7x^6-36x^5+40x^4[/tex][tex]\begin{gathered} As\text{ se}en\text{ from the differential, the number of turning points is found by subtracting 1 from the highest power of the function.} \\ \text{Hence, the number of turning points = 7-1 = 6} \\ \text{There are 6 turning points} \end{gathered}[/tex]**Therefore, there are 7 real zeroes and 6 turning points; 0, 2 and 4**

**The answer is option A**

points on the coordinate plane below which point would lie on both the x-axis and the y-axis ___thats the question

**We see that the unique point that lie on both the x-axis and the y-axis is the pont (0,0)!**

find the coordinates of of the point at -270 degrees on circle radius 3.6 centered at the origin

**Answer: **[tex](0, 3.6)[/tex]

**Step-by-step explanation:**

When rotating -270 degrees, which is the same as 90 degrees, we are going to the topmost point of the graph.

Since the radius is 3.6, this point has coordinates [tex](0, 3.6)[/tex].

A cosine function has an amplitude of 1/4 , period of pi/2, horizontal shift of 2pi, and vertical shift of -4.

What is the y-value of the positive function when x = 2π?

y = ?

The **value** of y when y = y = 0.25sin(4(x+2π))-4. and x = 2pi is -4.

Some functions (like Sine and Cosine) repeat forever and are called **Periodic Functions**.The Amplitude is the height from the center line to the peak (or to the trough).The Phase Shift is how far the function is shifted horizontally from the usual position.The Vertical Shift is how far the function is shifted vertically from the usual position.

We can have all of them in one equation:

y = A sin(B(x + C)) + D

amplitude is A

period is 2π/B

phase shift is C (positive is to the left)

vertical shift is D

So, for the given question we have amplitude is 0.25, period is 2π/4, **phase** shift is 2π, vertical shift is -4

So,

y = 0.25sin(4(x+2π))-4.

when x = 2π

y = 0.25sin(16π)-4

y = 0-4

y = - 4

Therefore, y = 0.25sin(4(x+2π))-4, and its y - **value** when x = 2π is -4.

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A pool fills up 3 gallons of water in one minute. How many pints does it fill in one minute?

In this problem we have to use the convertion factor that is equal to 1 so:

[tex]\frac{1gal}{8pn}=1[/tex]so we can made the transormation:

[tex]3\text{gal}\cdot\frac{8pn}{1\text{gal}}=24pn[/tex]So in one minute it fills 24 pints

Omar and Zina Aboud found that the dealers cost of the base price was $16.558.16 and the dealer's options cost was $611.60. The consumer paid the $476.00 destination charge. If the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, find the car's sticker price.

We want to calculate the sticker price. The sticker price is given by the formula

[tex]\text{sticker price = base }price+\text{ options + destination charge}[/tex]We are told that the destination charge is 476. We should determine the base price and the options to find the price sticker.

We are told that the dealer's cost of the base price is 92% of the pase price. So we have the equation

[tex]16558.16=\frac{92}{100}\cdot\text{base price}[/tex]so if we divide both sides by 92 and multiply by 100 we get

[tex]\text{base price = }16558.16\cdot\frac{100}{92}=17998[/tex]Now, applying the same principal for the options, we have

[tex]611.60=\frac{88}{100}\text{options}[/tex]which means that

[tex]\text{options}=611.6\cdot\frac{100}{88}=695[/tex]Replacing these values in the original equation we have that

[tex]\text{sticker price = }17998+695+476=19169[/tex]**so the sticker price would be 19169**

Mathew deposits 400800.00 kina with the bank which offers 5½% interest per annum. calculate the interest earned after four years if it is compounded annually?

**Solution**

For this case we can use the following formula:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]where

A= future value, P= present value= 400800.00

r= 5.5%=0.055, n =1 , t= 4 years

n= represent the number of times that the interest is compounded each year =1 for this case

Replacing we got:

[tex]A=400800\cdot(1+\frac{0.055}{1})^{4\cdot1}=496520.92[/tex]then we can find the interest in the following way:

[tex]I=A-P=496520.92-400800=95720.919[/tex]A sequence of positive integers with 2020 terms is called an FT sequence if each

term after the second is the sum of the previous two terms. For example, if the

first two terms of an FT sequence are 8 and 7, the sequence would begin

8,7,15, 22, 37,.... For some positive integer m, there are exactly 2415 FT sequences

where the first two terms are each less than 2m and the number of odd-valued

terms is more than twice the number of even-valued terms. What is the value of m?

(A) 21

(B) 69

(C) 115

(D) 35

(E) 105

The value of m will be 35.

Consider the **FT **0, 1, 1, 2, 3, 5, 8, 13, 21, 24,45,.......

The numbers are arranged in order of even, odd, odd, even, odd, odd, even, odd, odd, even,.......

Hence, the loop contains 3 elements. If the number of terms is 2020 terms, then we have 673 loops + 1 element. (That is 3* 673 +1 = 2020) The last element will start the new loop and it is an even number.

In the other hand with 2019 terms, we have number of odd = 2* number of even. But the last term is even. That makes number of odd < twice number of even and it contradicts with the condition.

However in this case, the 2020th term is even and so there are fewer than twice as many odd valued terms as there are even-valued terms.

Thus, there are m2 + m × (m − 1) **FT** **sequences **that satisfy the required conditions.

Since there are 2415 such **FT sequences**, we may solve m2 + m × (m − 1) = 2415 by trial and error.

Evaluating m2 + m × (m − 1) when m = 30, we get 302 + 30 × 29 = 1770, and so m is greater

than 30.

When m = 33, we get 332 + 33 × 32 = 2145.

When m = 34, we get 342 + 34 × 33 = 2278.

When m = 35, we get 352 + 35 × 34 = 2415, as required.

Hence, Answer: (D)

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What is the slope of the line that passes through the points (4, -2) and (4, 10)?

Write your answer in simplest form.

The **slope **of the line that passes through the points (4, -2) and (4, 10) is 0. The slope of a line is 0 if it is horizontal. This **function **is constant.

The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute slope. The ratio can also be written as a **quotient **("rise over run"), which produces the same number for every two distinct points on the same line. A declining line has a negative "rise." The line might be useful, as determined by a road surveyor, or it might appear in a **diagram **that represents a road or a roof as a description or a design.

The slope's absolute value serves as a **gauge **for a line's **steepness**, **incline**, or grade. A steeper line is indicated by a slope with a higher absolute value. A line can be drawn with one of four directions: upward, downward, horizontal, or vertical.

If a line rises from left to right, it is said to be growing. The slope is upward, or m>0.

If a line slopes downward from left to right, it is diminishing. The slope, m0, is negative.

The slope of a line is 0 if it is horizontal. This function is constant.

A line's slope is **ambiguous **if it is vertical.

In other terms, the rise is (y2 y1) = y. The rise of a road between two points is the difference in the **altitude **of the road at those two sites, say y1 and y2. The run, or (x2 x1) = x, is the difference in distance from a given point measured along a level, horizontal line for relatively small distances where the Earth's curvature may be disregarded. Here, the ratio of the altitude change to the horizontal distance between any two places on the line is used to define the **slope **of the road between the two points.

In **mathematical language**, slope m of the line is

slope = [tex]\frac{x-x1}{y-y1} =\frac{4-4}{-2+10} = 0[/tex]

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Express the trig ratios as fractions in simplest form.Drop down menu: (a) are equal (b) are not equal

**ANSWER**

**EXPLANATION**

We want to express the trigonometric ratios as fractions in the simplest terms.

The trigonometric ratios SOHCAHTOA for right triangles for sine and cosine are:

[tex]\begin{gathered} \sin\theta=\frac{opposite}{hypotenuse} \\ \\ \cos\theta=\frac{adjacent}{hypotenuse} \end{gathered}[/tex]Therefore, for the given triangle, we have that:

[tex]\begin{gathered} \sin O=\frac{34}{35} \\ \\ \cos N=\frac{34}{35} \end{gathered}[/tex]As we see from the equations above, the sine of O and the cosine of N **are equal.**

A rectangle is 4 inches long and 2x inches wide. The value of the perimiter is equal to the value of the area

When a rectangle has a **perimeter **equal to the area and is 4 inches long and 2x inches wide, the value of x is 2.

GIVEN:

The perimeter (in inches) of a rectangle with dimensions of 4 inches long by 2 inches wide equals the area (in square inches) specified in the question.Rectangle perimeter (P) equals 2x plus 2L.Rectangle area (A) equals LWAs per the stated circumstance,

P = A LW = 2W+2L 2x(4) = 2(2x)+2(4) (4) 8x = 4x +8 4x = 8 x=2HENCE,The value of x is 2 when a rectangle has a **perimeter **equal to the area, is 4 inches long, and is 2x inches broad.

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Passes through the coordinates -2,2 parallel to the line whose slope is -1

The **equation** of the** line** is y-2x= 6.

Here the problem we are dealing with is related to the **slope** of the line, where, a slope of a line is the alter in the **y coordinate **about the alter in the **x coordinate**. The net change in the y-coordinate is spoken to by Δy and the net change in the x-coordinate is spoken to by Δx. The equation for the slope of a straight line is given by** y − y1 = m(x − x1)**, where m is the slope and (x1,y1) are the points that pass through it,whereas the **slope-intercept form **of the line is given by **y = mx + b, **where b is the y-intercept. Since if two lines are **parallel **at that point it said the slope of both those lines are equal i.e** m₁= m₂**

Since it is given that the coordinates (-2,2) and the slope of the parallel to it, m=2

so the equation for the line is

=>y − y1 = m(x − x1)

=>y − 2 = 2(x +2)

=>y − 2 = 2x+4

=>y-2x= 6

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Find the eqaution of the line that passes through the coordinates -2,2 parallel to the line whose slope is -1.

Jared sells jewelry online. He can make 25 necklaces from 375 beads. Yesterday he made 21 necklaces. How many beads did Jared use to make necklaces yesterday

The number of** beads** he used to make 21 necklaces is 315 beads.

He **sells** jewellery online. He can make 25 necklaces from 375** beads**.

This means Jared uses 375 **beads** to make 25 necklaces.

Yesterday he made 21 necklaces.

Therefore, the number of **beads** he used to make the 21 jewellery can be calculated as follows:

Hence,

25 necklaces = 375 **beads**

21 necklaces = ?

cross multiply

number of** beads** used to make the necklaces = 21 × 375 / 25

number of **beads** used to make the necklaces = 7875 / 25

Therefore,

number of **beads** used to make the necklaces = 315

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