**Answer: 8.75**

**Step-by-step explanation:**

(0, 20) and (40, 370) any two coordinate points can be chosen

(370 - 20) / (40 - 0)

= 35/4 or 8.75

How can division be used to find the factors of polynomial functions?

**Answer:**

To divide polynomials using long division, first divide the first term of the dividend by the first term of the divisor. This is the first term of the quotient. Multiply the new term by the divisor, and subtract this product from the dividend. This difference is the new dividend.

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

**Answer:**

**Step-by-step explanation:**

model2 is times and model on is 432

Which of the following is not a step in the help seeking process

tell others about the help you received

On Wednesday night in St. Petersburg, Russia, the temperature is -11°C.

On the same night in Bombay, India, the temperature is 17°C.

What is the difference in the temperature?

The **difference** in the** temperature** of **Bombay** to **St. Petersburg** is 28° C.

What is the **difference** between two numbers and how is it calculated?

An **arithmetic operation** called **subtraction** simulates the process of deleting items from a collection. The negative symbol, or, denotes subtraction. Subtraction is the process of subtracting a matrix, vector, or other quantity from another according to predetermined criteria in order to find the **difference**.

Subtracting two numbers from each other is a type of subtraction. The **difference** between **two numbers** is calculated by **deducting** the **smaller** of the two values **from **the **larger**.

Given, the** temperature **in **St. Petersburg** = T₁ = -11° C

The **temperature **in **Bombay** = T₂ = 17° C

Using general comparison, we get T₂>T₁, since one is positive and the other is negative.

Therefore following available literature,

Difference in temperature = T₂ - T₁ = 17 - (-11) = 17 + 11 = 28° C

Thus, the required **difference** in **temperature** of **Bombay** to **St. Petersburg** is 28° C.

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SOMEONE PLEASE HELP ITS URGENT!!! Please help with this

**Answer:**

X = 8?

**Step-by-step explanation:**

I'm not sure if I'm correct but I used this solution of since 4x + 1.

Usually if its + something then you subtract it so 33-1 is 32 then

4x= 32

x=8

If I'm wrong, I apologise.

Pls help with my geometry questions.

1. What do you call the side that is between 2 angles, like in ASA?

2. What do you call the side that is not in between 2 angles, like in AAS?

3. If lines are perpendicular, then they form ______ _______ angles.

A **triangle **is a closed polygon having number of sides exactly 3. Example - Equilateral Triangle, Isosceles Triangle, and etc.

The **triangles **are **congruent **when two pairs of corresponding angles and one pair of corresponding sides (between the angles) are both equal and the side is known as Included Side.

While, The **triangles **are **congruent **when two pairs of corresponding angles and one pair of corresponding sides (not between the angles) are both equal and the side is known as Angle Angle Side.

When two lines are perpendicular to each other, then they form Right Angles which are 90° in measure.

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Ten granola bars and twelve bottles of water cost $23. Five granola bars and four bottles of water cost $10. How much do one granola bar and one bottle of water cost?Part BFor a fundraiser, a group plans to sell granola bars and bottles of water at the same prices as described in Part A. The group wants the income from the fundraiser to be at least $150.Choose the inequality to show the number of granola bars x and the number of bottles of water y that must be sold.

Let g = cost of granola bars

b = cost of a bottle of water

10g+12b = 23

5g + 4b = 10

Multiply the second equation by -2

-10g -8b = -20

Add this to the first equation

10g+12b = 23

-10g -8b = -20

---------------------

4b = 3

Divide by 4

4b/4 = 3/4

b = 3/4 or .75

Now find g

5g + 4(3/4) = 10

5g + 3 = 10

5g = 7

g = 7/5

g = 1.4

We want to find 1g+ 1b

1.4+ .75 =2.15

Part B

We want our income to be at least 150

The cost of granola bars is 1.4 and we are selling x of them

The cost of water is .75 and we are selling y of them

It must be at least >=

1.4x + .75y >= 150

Find the slope of the line passing through the points (-2, 7) and (—9,4)

The slope of the **line** is **3****/****7****.**** **

The slope of line will be calculated using the **formula** :

Slope = [tex] \frac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

The first point is (-2, 7) and second point is (-9, 4). So, [tex] y_{2}[/tex] = 4, [tex] y_{1}[/tex] = 7, [tex] x_{2}[/tex] = -9 and [tex] x_{1}[/tex] = -2. **Keep the values** in formula to find the values of slope of the line.

Slope = (4 - 7)/(-9 - -2)

Performing **subtraction** in numerator and denominator

Slope = -3/-7

Cancelling the **negative signs** we get -

Slope = 3/7

Thus, the **slope** of the line is **3/7**.

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What is the slope of a line perpendicular to the line whose equation is 3x + 6y = –72. Fully reduced

The **slope of the line** is **2 **for the equation that is perpendicular.

**Slope of the line:**

Slope of the line refers the **change **in **y coordinate** with respect to the change in** x coordinate. **

Given,

Here we have the equation 3x + 6y = - 72 that is perpendicular to the line.

Now, we need to find the slope of the line from it.

First we have to convert the given equation of line into standard form,

Then we get,

3x + 6y + 72 = 0

Now we know that the slope of the line for this type of equation is,

m = -a/b

Whlie we compare the equation with the standard form ax + by + c = 0,

Then we get the value of a = 3 and b = 6

Therefore, the slope of the line is

m1 = -3/6

m1 =-1/2

Here we need to find the slope of a line which is perpendicular to the given line.

Through the definition we know that product of two perpendicular line is -1.

So,

**m1 x m2 = -1**

(-1/2) x m2 = -1

m2 = 2

Therefore, the slope of perpendicular line is 2

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20=5x+10y help me please

**Answer:x=2(-y+2)**

**Step-by-step explanation:easy**

48x4 and 44x5 Find the GCF

The **greatest common factor **(GCF) of the given **expression **48x^4 and 44x^5 is 4x^4.

**Greatest common factor**, as the name implies, is greatest among all common factors among the **quantities **given. We can factorize the **quantities **in smallest relative factors possible (one level of **factors **over which all quantities can form themselves), and collect as many common **factors **as we could. Those will together compose **GCF**(Greatest common factor).

To find the GCF of [tex]48x^4[/tex] and [tex]44x^5[/tex]. we have to write the **prime factorization **of both the terms;

Prime Factorization of [tex]48x^4[/tex]= 2 × 2 × 2 × 2 × 2 × 2 × x × x × x× x

Prime **factorization **of [tex]44x^5[/tex] = 2 × 2 × 11 × x × x × x × x × x

Thus the common **factors **are 2 × 2x × x × x× x

Therefore The **greatest common factor **(GCF) of the given **expression **48x^4 and 44x^5 is 4x^4.

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please anyone pleaseee help with explanation

The **slope** of the **line** = change in y / change in x = 4/3.

The **slope** of a **line** is the rise over the run, which is the change in y/change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

To calculate the **slope** of the **line **that is given, chose any two points on the **line** as plotted in the given graph, say:

(30, 20) = [tex](x_1, y_1)[/tex]

(60, 60) = [tex](x_2, y_2)[/tex]

Substitute each of these values into the **slope** formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]:

**Slope** for the given **line** (m) = (60 - 20)/(60 - 30)

**Slope** for the given **line** (m) = 40/30

**Slope** for the given **line** (m) = 4/3.

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Guys I need help is this right?

The **domain** of the function in this situation as required in the task content is; **Choice C**; {0, 1, 2, 3, 4, 5, 6}

It follows from the task content that the **domain** of the function described by the situation is to be determined.

Since the **domain** is the set of all possible input values, otherwise termed the independent variable, x.

It follows that since the carton can hold from 0 to 6 books; the domain is; **Choice C **; {0, 1, 2, 3, 4, 5, 6}

Please Note: The set of all possible output values of a function, otherwise termed the dependent variable, y is called the **Range**.

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ii) (1, 3), (6,3), (6, 6) and (1, 6) are the vertices of a rectangle.

Given, (1, 3), (6,3), (6, 6) and (1, 6) are the **vertices **of a **rectangle**, the width is 1 unit shorter.

A **rectangle **is a **quadrilateral **with the four **right angles** in the **Euclidean plane**. It can alternatively be described as a **parallelogram **with a right angle or an **equiangular quadrilateral**, where equiangular denotes that all of its angles are equal (360°/4 = 90°). A **square **is a **rectangle **with the four equally long sides. **Oblong **is occasionally used to describe a rectangle that isn't square. Rectanglen is the symbol for a rectangle having the vertices ABCD. ABCD in PNG.

Rectangulus, a combination of rectus (as an adjective, right, proper), and angulus, is the source of the English word rectangle (angle).

A crossed rectangle is a **quadrilateral **that is formed by the intersection of two **diagonals **and the two opposite sides of a rectangle (therefore only two sides are parallel). Although opposite angles are equal, it is a specific example of an **antiparallelogram **in which the angles are not all right angles and equal. There exist so-called rectangles in other geometries, including spherical, **elliptic**, and **hyperbolic **ones, with opposite sides of equal length and equal angles that are not right angles.

Many tiling issues use rectangles, like tiling the plane with rectangles or tiling a rectangle with **polygons**.

By plotting given points in the coordinate plane,

We get rectangle ABCD having vertices,

A(-1,6), B (3,6), C (3,1), D (-1,1)

By distance formula,

Shorter side or width of rectangle,

AB= [tex]\sqrt{ [3-(-1)]^{2}+ (6-6)^{2}} = \sqrt{4^{2}+0 } = 4 units[/tex]

Longer side or length of rectangle,

BC= [tex]\sqrt{(3-3)^{2}+(1-6)^{2}}=\sqrt{5^{2} } = 5 units[/tex]

The difference between length and width,

BC-AB= 5-4= 1units

Hence, width of rectangle is 1 unit less than the length.

active attachment

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The volume of this cylinder is 2,000.18 cubic yards. What is the radius?

Use 3.14 and round your answer to the nearest hundredth.

**Answer:56.52**

**Step-by-step explanation:**

What is 150 + 1/6 + 1/2

**Answer:**

150 and 2/3 or 150.6666...

**Step-by-step explanation:**

1/6 + 1/2 = 1/6 + 3/6.

1/6 + 3/6 = 4/6 = 2/3

150 + 2/3 = 150 and 2/3

Mark as brainliest please

**Answer: exact form is 452/3**

**decimal form is 150.6**

**Step-by-step explanation:**

Math nerds please help finish these sentences

I can tell a slope is greater than 1 by _________

I can tell a slope is equal to 1 by _______

I can tell a slope is less than 1 by ________

please help answer these please

**Just here for the points lol**

a box with a square base and open top must have a volume of 42592 c m 3 . we wish to find the dimensions of the box that minimize the amount of material used. first, find a formula for the surface area of the box in terms of only x , the length of one side of the square base. [hint: use the volume formula to express the height of the box in terms of x .] simplify your formula as much as possible. wyzant

a formula for the **surface area **of the box in terms of only x , the length of one side of the square base is A = x² + 170368 cm³/x

The **volume **of the box with square base is V = x²h where x = length of side of square base and h = height of box.

Now, the area of the of box open at the top with **dimensions **of length, l , width, w and height, h are

A = 2lh + lw + 2wh

Now for a box of **square **base, l = w = x.

So, A = 2xh + x² + 2xh

A = x² + 4xh

Since V = x²h and V = 42592 cm³,

h = V/x² = 42592/x²

substituting h into A, we have

A = x² + 4xh

A = x² + 4x(42592 cm³/x²)

A = x² + 4 × 42592 cm³/x

A = x² + 170368 cm³/x

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What is the domain and range of this function?

**Answer:**

Domain(X-value): {-5,-4,-3,-2,-1,0,1,2,3,4,5}

Range (Y-value): {-2,-1,0,1,2}

**Step-by-step explanation:**

The domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Hi I have question on solving algebraic fractions. How would I find the LCD for this?

(x/x+1)+(x-1/4)=(11/12)

I tried multiplying the denominator by the opposites (x+1 and 4) to make them the same denominator and then add them and cross multiply, however, I never got the right answer

The **value of x** is either 2 or -7/3.

Given **expression**:-

(x/x+1)+((x-1)/4)=(11/12)

We have to find the value of x.

The **LCM** of (x + 1) and 4 is 4(x - 1).

We can write,

[4x + (x + 1)(x - 1)]/4(x + 1) = 11/12

[tex]\frac{4x+x^2-1}{4(x+1)}=\frac{11}{12}[/tex]

We can multiply 4 to the given **equation**, and get,

[tex]\frac{4x+x^2-1}{(x+1)}=\frac{11}{3}[/tex]

By **cross multiplying**, we can write,

[tex]12(4x+x^2-1)=11(4(x+1))[/tex]

12x + [tex]3x^2[/tex] -3 = 11x + 11

[tex]3x^2[/tex] + 12x - 11x -3-11 = 0

[tex]3x^2[/tex] + x-14 = 0

Using the **middle-term split theorem**, we can write,

[tex]3x^2[/tex] + 7x - 6x -14 = 0

x(3x + 7) - 2(3x + 7) = 0

(3x + 7)(x - 2) = 0

x = -7/3, 2.

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48 < 8w solve the inequality for w and simplify your answer as much as possible

**Answer:**

w > 6

**Step-by-step explanation:**

48 < 8w

48 ÷ 8 < w

w > 6

I switched the sign if you dont want that you can write 6 < w

4.

Bacteria in a lab has a population of 500 and it triples every hour. Which of the following

equations represents the this situation?

Identifique la intersección y y el factor de crecimiento para la siguiente ecuación

exponencial:

y=3z +500

y=500z+3

y = 500(3)²

y=3(500)=

**Answer:**

y=3(500)

**Step-by-step explanation:**

I think this is ans but i do not know the ans.

Can some one PLEASE HELP me , I do not understand how to do this at all and I have to submit it TONIGHT please and thankyou!

**Answer:**

Answer down below!

**Step-by-step explanation:**

Let's find a point on the graph that we can start off on

We can use (2,-1)

From there, we can use rise/run to find our answer

We go up 3 and over -2

**So, our slope is -3/2 because we cannot simply it any further**

The measures of the angles of a triangle are shown in the figure below. Solve for x

need help asap!!!)

**Answer:**

x=36

**Step-by-step explanation:**

(3x+3)^0+x+54= 90

x+54=90

x=90-54

x=36

The exact volume of a cylinder with radius 3 cm and height 6 cm is:

The answer is 169.65

Prove algebraically that the square of any odd number is always one more than a multiple of 8.

The square of any **odd number** is not always one more than a multiple of 8. The **proposition** is false.

How to prove a relationship between odd numbers and multiples of 8

**Natural numbers** can be divided into **even numbers** (i.e. 2, 4, 6) and **odd numbers** (i.e. 1, 3, 5). Let be n an **element** of the set of even numbers and the element 0, such that odd numbers are of the form:

x = 1 + n

Then,

(1 + n)²

1 + 2 · n + n²

If 1 + 2 · n + n² is one more than a multiple of 8, then we find the following relationship:

1 + 2 · n + n² = 8 · x + 1, where x is a **natural number**.

2 · n + n² = 8 · x

For x = 1:

2 · n + n² = 8

n² + 2 · n - 8 = 0

(n + 4) · (n - 2) = 0

Then, the least **even number** is 2 and the least **odd number** is 3. This implies that the proposition is not observed for (1 + n) = 1. Therefore, the **proposition** is false.

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can someone help me really quick

**Answer:**

6.75

**Step-by-step explanation:**

Consider the ratio:

$4.50 : 6 apples

We need to multiply this ratio by a value such that the right side is 9 because there are 9 apples in array p. This value is 9/6 = 3/2.

$4.50 : 6 apples

× 3/2 × 3/2

$6.75 : 9 apples

So, the value of p, or 9 apples, is $6.75, which you will input as **6.75**.

Match each pair of angles to their angle pair name.

<2&<7

<5 & <8

<9 & <16

<1 & <3

<4 & <3

<14 & <15

The** name **for the angle <2&<7 is an **alternate **interior **angle** by a transversal x.

It is defined as the** angles **when two lines **intersect** each other and at the **intersecting **point, some pair of** angles **are formed which we call **vertically** opposite angles, as the name describes that they have vertically **opposite** angles.

The **angle** pairs are given.

From the diagram:

<2&<7 = **Alternate **interior angle by a transversal x

<5 & <8 = Consecutive **exterior** angle by a transversal x

<9 & <16 = **Consecutive** exterior angle by a transversal x

<1 & <3 = Corresponding **angles **by transversal x

<4 & <3 = **Adjacent **angle by transversal g

<14 & <15 = **Consecutive** interior angle by a transversal y

Thus, the** name **for the angle <2&<7 is an **alternate **interior **angle** by a transversal x.

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Swim team members can race or dive. At a meet, 18 members race. The ratio of racers to divers is 6:2. How many members are on the team?

**Answer:**

**24**

**Step-by-step explanation:**

If the ratio of racers to divers is 6:2 then compare that to 18:x

6 times 3 is 18

2 times 3 is 6

x is 6

Now add 6 and 18

You get 24

Complete the empty table from the provided information.

Transform the graph of f(x) by dilating it by a factor of 3.

Write the equation of the resulting line in slope intercept form.

Due to length restrictions, the **table** of the transformed **graph** is shown in the explanation section. The **equation** of the transformed graph is g(x) = 3 · x.

How to derive the table of the image of a graph

In this question we find the representation of a **line** on a **Cartesian plane** and its corresponding **table** and we need to determine the table of the image of such **function**. The transformed **graph** is the result of dilating the original graph by a **factor** of 3. The value of g(x) is equal to three times the value of f(x):

x g(x)

- 2 - 6

- 1 - 3

0 0

1 3

2 6

The **equation** of the original **graph** is f(x) = x and the equation of the transformed graph is g(x) = 3 · x.

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A 240 horsepower automobile engine delivers only 210 horsepower to the driving wheels of the car. What is the efficiency of the transmission and drive mechanism
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