Write a function representing the line that includes the points (2,18) and (5,36).

Answers

Answer 1

Answer:

Step-by-step explanation: Find the y-intercept. Write the equation in slope-intercept form. Write an equation of the line that passes through each pair of points. 5. (4, −3), (2, 3)

Answer 2

y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (2,18) and (5,36).

m=36-18/5-2

=18/3=6

slope of line is 6.

Now we need to find the equation of line passing through (2,18) and (5,36).

We need to find the y intercept.

18=6(2)+c

18=12+c

18-12=c

6=c

So y intercept is 6

The equation of line is y=6x+6

Hence y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).

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Related Questions

If < A and < B are vertical angles, and < A = 2x - 11 degrees, and < B = x + 7 degrees, find x.

Answers

Answer:

x=18

Step-by-step explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1) [tex]2x-11=x+7[/tex]

2) [tex]x-11=7[/tex]

3)[tex]x=18[/tex]

The price of a litre of milk increased from $1.25 in 2004 to $1.35 in 2006. What is the average price increase per year?

Answers

Answer:

$0.05/year

Step-by-step explanation:

Number of years:

2006 - 2004 = 2

From 2004 to 2006 it's 2 years.

Difference in prices:

$1.35 - $1.25 = $0.10

Average change of price per year:

$0.10 / 2 years = $0.05/year

Resultados de esta operación porfavor
/4 + 1/3

Answers

Answer:

Step-by-step explanation:

english only please

will mark brainliest! PLEASE!

Answers

Answer:

a) There are two possibilities for rigid transformation:

(i) 180° counterclockwise rotation around point B.

(ii) 180° clockwise rotation around point B.

b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.

c) The corresponding angles and sides are presented below:

[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]

[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]

Step-by-step explanation:

a) There are two possibilities for rigid transformation:

(i) 180° counterclockwise rotation around point B.

(ii) 180° clockwise rotation around point B.

b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.

c) The corresponding angles and sides are presented below:

[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]

[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]

Solve for U 11+15u=-7+13u
Help fast please

Answers

Answer:

-9

Step-by-step explanation:

11+15u=-7+13u

or, 15u-13u = -7-11

or, 2u = -18

or, u = -9

Answered by GAUTHMATH

pls answer quickly before 3:30

Answers

Slope= -2/3 and y-intercept=4
Your first point will be on 4 then to get your second point go down 2 then to the right 3.

who a beast at math??​

Answers

The similarity statement: EGF ~ LNM
Scale factor: 1/3

I need help I don't understand this.

Answers

Answer:

gmvlɛpuyhgn

gteeyolpp

jwjvy

Function g can be thought of as a scaled version of f(x)=|x|

Answers

Answer:

g(x) = 1/2 |x|

Step-by-step explanation:

Scaling f(x) means it's of the form g(x) = a|x|

From the graph, it appears to pass through the point (2, 1). By subbing in the values for this point, the equation can be found to be:

1 = a|2|

a = 1/2

Therefore, g(x) = 1/2 |x|

Help
Find the volume of this cone.
Use 3 for T.
6ft
V =
3
Tr2h
1
10ft
V
V-
[?]ft3
A

Answers

Answer:

[tex]V=90[/tex]

Step-by-step explanation:

Step 1:  Find the volume of the cone

[tex]V = \frac{\pi *r^{2}*h}{3}[/tex]

Plug in the values

[tex]V = \frac{\pi *3^{2}*10}{3}[/tex]

Simplify and Solve

[tex]V = \frac{\pi *9*10}{3}[/tex]

[tex]V = \frac{90\pi }{3}[/tex]

[tex]V = \frac{90*3 }{3}[/tex]

[tex]V=90[/tex]

Answer:  [tex]V=90[/tex]

can someone help me pls

Answers

it's easy look at the example for reference

Select the correct answer from each drop-down menu.
A company makes cylindrical vases. The capacity, in cubic centimeters, of a cylindrical vase the company produces is given by the
function C() = 6.2873 + 28.26x2, where x is the radius, in centimeters. The area of the circular base of a vase, in square
centimeters, is given by the function A () = 3.14.2
To find the height of the vase, divide
represents the height of the vase.
the expressions modeling functions C(x) and A(z). The expression

Answers

Answer:

divide, 2x+9

Step-by-step explanation:

got it right

Find the measure of the indicated angle to the nearest degree.
33
32

Answers

Answer:

A= 75°

Step-by-step explanation:

SinA = opposite÷hypoteneous

A = Sin^-1(32÷33). (inverse sin = sin^-1)

A = 75.85

A= 75°

Note: To calculate we use scientific calculater.

Angle A in triangle ABC is approximately 76 degrees. So, correct option is A.

In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. Let's consider triangle ABC, where angle B is the right angle, AC is the hypotenuse, and BC is one of the legs.

We are given that AC = 33 and BC = 32. To find angle A, we can use trigonometric ratios. In this case, we can use the sine function.

The sine of angle A is defined as the ratio of the length of the side opposite angle A (BC) to the length of the hypotenuse (AC):

sin(A) = BC / AC

Substituting the given values, we have:

sin(A) = 32 / 33

Using the inverse sine function (sin⁻¹), we can find the value of angle A:

A = sin⁻¹(32 / 33)

Using a calculator, we find that angle A is approximately 75.85 degrees. Rounding off to the nearest angle we get 76 degrees.

Therefore, angle A in triangle ABC is approximately 76 degrees. So, correct option is A.

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Find the length of BW

Answers

Answer:

[tex]BW \approx 132.589[/tex]

Step-by-step explanation:

The given triangle (BWS) is a right triangle. This is indicated by the box around one of its angles, signifying that it is a right angle. One property of a right triangle is the right angle trigonometric ratios. These are a set of ratios that can be used to describe the relationship between the sides and angles in a triangle. These ratios are as follows:

[tex]sin(\theta) = \frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Please note that the (opposite) and (adjacent) sides are subjective, the sides that are named these terms depend on the angle of reference. However the term (hypotenuse) refers to the sides opposite the right angle of a right triangle, this term is the same no matter the angle used in the ratio.

In this case, one is given the length of the side (SB) and the measure of angle (<W), one is asked to find the length of the side (BW). The best ratio to use in this case is the ratio tangent (tan).

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Substitute,

[tex]tan(9)=\frac{21}{adjacent}[/tex]

Inverse operations,

[tex]tan(9)=\frac{21}{adjacent}[/tex]

[tex]adjacent=\frac{21}{(tan(9))}[/tex]

[tex]adjacent\approx132.688782[/tex]

[tex]BW \approx 132.589[/tex]

CAN SOMEONE PLEASE HELP ME OUT ​

Answers

Answer:

Similarly: yes

Similarly Statement: LMNO ≈ ZWXY

Scale factor: 2/7

Answered by GAUTHMATH

Paul invests ₦4800 for 5 years at 3% per annum simple interest. Calculate the amount Paul has after 5 years.​

Answers

Answer:

bạn cực ngu

Step-by-step explanation:

bạn cực kì ngu

What is the y-intercept of f(x) = see
Picture

Answers

Answer:

(0,1)

Step-by-step explanation:

f(x) = (1/2)^x

To find the y intercept, let x = 0

f(x) = (1/2) ^0

f(x) = 1

(0,1)

câu 1: cho hình chóp S.ABC có đáy là tam giác đều cạnh bằng a, cạnh bên SB vuông góc với mặt phẳng (ABC) , SB =2a. Tính thể tích khối chóp S.ABC
Câu 2: Cho hình chóp S.ABC với SA, SB,SC đôi một vuông góc và SA=SB=SC +a . TÍnh thể tích của khối chóp S.ABC.

Answers

Answer:

[tex]\frac{\sqrt{3}}{6} a^{3}[/tex] và [tex]\frac{a^{3} }{6}[/tex]

Step-by-step explanation:

Câu 1: V = 1/3.2a.[tex]\frac{\sqrt{3}}{4}[/tex][tex]a^{2}[/tex] = [tex]\frac{\sqrt{3}}{6} a^{3}[/tex]

câu 2: Theo đề bài ta có SA là chiều cao và tam giác đáy SBC vuông tại S (hình chóp S.ABC đổi thành chóp A.SBC)

=> V = 1/3 SA.(diện tích tam giác SBC) = 1/3a.[tex]\frac{a^{2} }{2}[/tex] = [tex]\frac{a^{3} }{6}[/tex]

Question 11 in the picture. Please help me

Answers

Answer:

hhhahah

Step-by-step explanation:

eeee

Drag the tiles to the correct boxes to complete the pairs.
Match the graphs with the functions they represent.

Answers

Answer:

Step-by-step explanation:

Equation of a parabola with vertex (h, k) is given by,

y - k = a(x - h)²

Equation of a function 'f' with vertex (0, 3) will be,

y - 3 = a(x - 0)²

y - 3 = ax²

Since, graph of this function passes through (1, 4),

4 - 3 = a(1)²

a = 1

Therefore, equation will be,

y - 3 = (x - 0)²

f(x) = x² + 3

Equation of function 'g' with vertex at (0, -3) will be,

y - (-3) = a(x - 0)²

y + 3 = ax²

y = ax² - 3

Since, the graph passes through (1, -1),

-1 = a(1)² - 3

a = 2

Therefore, equation will be,

y = 2x²- 3

g(x) = 2x² - 3

Equation of the function 'j' with the vertex (0, -3) will be,

y - (-3) = a(x - 0)²

y + 3 = ax²

y = ax²- 3

Since, the graph of the function passes through (1, -5),

-5 = a(1)² - 3

a = -2

Therefore, function 'j' will be,

j(x) = -2x² - 3

Equation of the function 'h' with the vertex (0, -3) will be,

y - (-3) = a(x - 0)²

y + 3 = ax²

y = ax² - 3

Since, the graph of the function passes through (2, 1)

1 + 3 = a(2)²

4 = 4a

a = 1

Therefore, equation of the function 'h' will be,

h(x) = x² - 3

Write two different mixed numbers where the LCD (lowest common denominator) is 15.

Answers

Answer:

1. 2 7/15

2. 4 2/15

Step-by-step explanation:

I just made up mixed numbers that have a denominator of 15. I hope this helps you!

Use similar triangles to determine the equation of the line with a slope of 1/2 that passes through the point (0,2)

Answers

Answer:

The answer is (A)

Step-by-step explanation:

I need help plz with this

Answers

Answer:

a) 390

b)108

I hope this answer was helpfull for you

Joey has $400 in a bank account that earns 8% in annual interest. Would this equation be Linear or Exponential?

Answers

Exponential

The first year, he would earn 8% interest on the $400 deposited, so he'd have $432. The next year, he would earn 8% interest on the interest earned the previous year in addition to the amount deposited, so he'd have $466.56.

His bank balance would follow the compound interest equation which is exponential.

= 400 × 1.08^t

where t is the number of years since the deposit

Find the value of x. Round to the nearest tenth.

Answers

Answer:

x=5.9

Step-by-step explanation:

tan(26)=x/12. x=12*tan(26)=5.9

What is the length of ST?

Answers

Answer:

14.49 inches......I think this help you.....I am not dam sure this is right or not....

Express 3 objects as a percentage of 1 dozen
show working.​

Answers

Answer:

25%

Step-by-step explanation:

1 dozen = 12

3 out of 12

3/12

Simplify

1/4

Multiply top and bottom by 25 to get a denominator of 100

25/100

25%

Use
inductive reasoning
to
describe the pattern. Then find the next two numbers in the pattern.
-3, 9, -27, 81, ...

Answers

Answer:

I don't know what inductive reasoning is but, the next two numbers in the pattern are -243 and +729

Step-by-step explanation:

each number is being multiplied by a factor of (-3).

If YWZ=17, what is WXY?

34
56
17
73

Answers

Answer:

73

Step-by-step explanation:

17×2=34

180-34=146

146/2=73

=73

james cuts his neighbor's lawn the first is 1000 m long and 100 m wide what is the area

Answers

Answer:

100,000 m²

Step-by-step explanation:

the area = l x w = 1000 x 100 = 100,000 m²

The area is length times width so the answer is 100,000 m^2
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