Write an equation of the line that passes through (−2,3) and (0,8).

Answers

Answer 1

Answer:

[tex]y = \frac{5}{2}x + 8[/tex]

Step-by-step explanation:

(-2 , 3 ) ; (0 , 8)

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

          [tex]= \frac{8-3}{0-[-2]}\\\\=\frac{5}{0+2}\\\\=\frac{5}{2}[/tex]

   m = 5/2 ; (0 , 8)

Equation: y -y1 = m(x -x1)

               [tex]y - 8 =\frac{5}{2}(x - 0)\\\\y - 8 =\frac{5}{2}x\\y = \frac{5}{2}x + 8[/tex]


Related Questions

the sum of 1 1/3 and 5/6

Answers

Answer:

2 1/6

Hope this helps!

Answer:

the right answer is 9/2

Step-by-step explanation:

thanks

9x + 4

8x - 4

4x + 17

If the perimeter is 374 units, find the value of x and the area of the triangle.

The value of x is

The area is

square units.

Answers

Answer:

x = 17

Area = 10,362units²

Step-by-step explanation

Given the sides of the triangle

S1 = 9x+4

s2 = 8x-4

S3 = 4x+17

Perimeter of the triangle is the sum of all the sides

P = S1+S2+S3

374 = 9x+4+8x-4+4x+17

374 = 21x+17

21x = 374-17

21x = 357

x = 357/21

x = 17

Hence the value of x is 17

Area of the triangle is 1/2bh

A = 1/2bh

b is the base

h is the height

Let the base be 9x + 4 and height be 8x-4

b = 9x+4

b = 9(17)+4

b = 153+4

b = 157units

h = 8x-4

h =8(17)-4

h = 136-4

h = 132

Area = 1/2 * 157 * 132

Area = 157*66

Area = 10,362units²

If you are good at math please dm me on ig 14lies, or twitt binderelluh1

Answers

Answer:

Okay

Step-by-step explanation:

In the 2006 season, Tom Brady threw for 3,529
yards. In the 2007 season, he threw for 2,806
yards. What is the percentage decrease

Answers

20.4873901955% decrease
3529-2806=723
(723/35290)x100= 20.4873901955

First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100. If the answer is a negative number, this is a percentage increase.

Answer:

59.02%

Step-by-step explanation:

SO SORRY THAT THIS IS LATE anyway what you is minus the biggest number by the smallest number which would be 3,529 - 2,806 = 723

BECAUSE 3,529 is the original number you would do 723 / 3,529 = 0.5902521

then you would times that number by 100

0.5902521 x 100 = 59.02%

hope this helps

60 minutes equal to how many hours​

Answers

Answer:

One hour

Step-by-step explanation:

Sixty minutes is one hour. Hope I helped you out.

Answer:

1 hour

Step-by-step explanation:

60 seconds = 1 minute

60 minutes = 1 hour

Lil Pump = Forever

Jackson has twice as many cards as his friends Alex and Chase combined. Alex has 55 Cards in his collection. Jackson Has 200 cards in his collection. How many cards does Chase have in his collection?

Answers

Answer:

45

Step-by-step explanation:

200 divided by 2 = 100-55=45

Answer:

45

Step-by-step explanation:

200-55=145

Since Jackson has twice as many as them combined, he would have 45.

Sam is 59 years old. 4 years later, Sam will be 7 times as old as Nina. How old will Nina be 4 years later?

Answers

Answer:

Hi...

59+4=63

63/7=9

So Nina will be 9 years old

what is the distance, in units, between the y-intercept of f(x) = x^2 +7x - 18 and the y-intercept of the linear function that passes through the points shown on the table below
x g(x)
-5 2
10 11
25 20
60 41

Answers

Answer:

13

Step-by-step explanation:

f(x) = x² +7x - 18

y interception: x=0  y = -18    (0 , -18)

line g(x):  --- the data of (60,47) to make a linear function

y = mx + b

m = (11-2) / (10 - -5) = 9/15 = 0.6

b = mx - y = 0.6 * (-5) - 2 = - 5  ... y intercept: (0 , -5)

distance between 2 y intercept: 18-5 = 13

y = 0.6x - 5

Answer:

23

Step-by-step explanation:

f(x) (y intercept ) = -18

g(x) (y intercept) = 5

difference so f(x)-g(x)

-18-5 = -23

the answer cannot be negative

You paint four walls. Each wall is a rectangle with a length of 18 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls?

Answers

Answer:

you will need exactly 2.7 gallons of paint but if rounded you'll need 3 gallons

Step-by-step explanation:

What is the slope of the line whose equation is y=3/5x-4

Answers

Slope-intercept form:

y = mx + b

Your equation in slope-intercept form (which you already have :)):

y = 3/5x - 4

So your slope is m = 3/5

Do you need help finding the y-intercept or x-intercept? I hope this helps and answers your question! Have a lovely day!

Find the value of X. Show your work.

Congruent triangle

Answers

Answer:

x = 3

Step-by-step explanation:

exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles

97 + x = 64 + 27

x = 97 - 64 - 27 = 6

Answer: x=-6

you know that the interior angles of a triangle equal 180°. so lets find the remaining angle measure

64 + 27 = 91

180 - 91 = 89

so 89 is the third interior angle of the triangle. now let's find the exterior angle.

you know that the extended angle is supplementary; which means it will equal 180° as well. so lets add the third interior angle we just found and let's add it to the unknown expression:

89 + 97 + x = 180

186 + x = 180

-186        -186

x = -6

now it might seem wrong because x is negative and it feels like it should be positive. but let's check our answer.

64+27+89 does equal 180

and 97+(-6)+89 does equal 180

i hope this helps!

Write the equation of the line that passes through the point 2,-1 and has a slope of -3

Answers

Answer:

-3

Step-by-step explanation:

-3 is your answer

Determine the slope and the Y-intercept of each linear equation. y = 6x

Answers

Answer:

Slope = 6

Y intercept = 0

Step-by-step explanation:

Given equation is: y = 6x

Equating it with y = mx + b

We find:

Slope m = 6

Y intercept b = 0

A forest covers 73,000 acres. A survey finds that
0.3% of the forest is old-growth trees. How many acres of
old-growth trees are there?

Answers

Answer:

0.3% of 73,000 acres

in acres its 219

in square foot its 9,539,640

and in square yard its 1,059,960

Step-by-step explanation:

Expanded form of 6(y+x)

Answers

Answer:

6y + 6x

Step-by-step explanation:

the expanded form would be 6 multiplied to each item in the parenthesis

this gets you 6x + 6y

The answer is 6x+6y multiply the 6 by everything inside the brackets

Lisa made 42 gallons of cider over two days. She made twice as many gallons of cider on day two as she made on day one. How many
gallons of cider did Lisa make on day two?

Answers

Answer: 28

Step-by-step explanation:

First you divide 42 by 3 and get 14

14 times 2 is 28 and 14+28= 42

so Lisa made 14 gallons of cider on day one and 28 gallons on day two

The pizza shop down the street offers a special of a large pizza with 3 toppings. The choices of toppings

are pepperoni, sausage, ham, pineapple, cheese, onions, green peppers, hot peppers, mushrooms, and

anchovies.

How many ways can you arrange 3 toppings out of 10 toppings on a pizza?

Answers

Answer:

120 ways

Step-by-step explanation:

To solve this question, we would be using the law of combination.

In combination, we say that

nCr = n! / (n - r)! r!, where both r and n are integers.

Now, referring to question, we are asked how many ways we can arrange 3 toppings out of 10. This means we're looking for 10C3. Applying the earlier laid out formula, we have

10C3 = 10! / (10 - 3)! 3!

10C3 = 10! / 7! 3!

10C3 = 3628800 / 5040 * 6

10C3 = 3628800 / 30240

10C3 = 120

Therefore, the toppings can be arranged in 120 ways.

Leave a like if it helped you, please

Triangle ABC is transformed to triangle A′ B′ C′, as shown below:

Which equation shows the correct relationship between the measures of the angles of the two triangles?

a. The measure of angle ABC = The measure of angle A prime B prime C prime

b. The measure of angle ABC = The measure of angle B prime C prime A

c. The measure of angle BCA = The measure of angle A prime B prime C prime

d. The measure of angle BCA = The measure of angle C prime A prime B prime

Answers

Answer:

a. The measure of angle ABC = The measure of angle A prime B prime C

Step-by-step explanation:

-18=-5x-(-2) what is x?

Answers

Answer:

x = 4

Step-by-step explanation:

-18 = -5x-(-2)

i) when there is a '-' sign in front of an expression in parentheses, change the sign of each term in the expression

-18 = -5x+2

ii) move -5x to the left-hand side and change its sign

5x-18 = 2

iii) move -18 to the right-hand side and change its sign

5x = 2+18

iv) add the numbers

5x = 20

v) divide both sides of the equation by 5

[tex] \frac{5x}{5} = \frac{20}{5} [/tex]

[tex]x = 4[/tex]

Find |x| when x = 15 and x = – 15.

Answers

Answer:15

Step-by-step explanation:trust me

Answer:

The absolute of x would be 15

Answers to these 3 questions ?

Answers

43. 8y + 36 = 14y - 24
60 = 6y
10 = y

8(10) + 36
80 + 36
116

116° for the top and bottom angles

48 + x = 64
x = 16

64° is the measurements for the horizontal angles


44. 11.22(2) = 22.44
TE = 22.44

45. 4x + 8 + 27 = 6x
35 = 2x
17.5 = x

4(17.5) + 8
70 + 8
CD = 78

6(17.5)
CE = 105

-8 - 1 = ?

Please show work for credit/ brainliest

Answers

Answer: The answer is -9

Step-by-step explanation:-8 - 1 = -9

It’s simple ! -8 and your getting smaller ( -1) = -9

What is n2+5 If n=5?

Answers

Is that cube or n just multiply to 2?

Answer:

15

Step-by-step explanation:

n is 5 so 5 times 2 equals 10 and plus 5 it equal 15

In rhombus ABCD , m∠EAB=27∘ .

What is m∠EBC ?

Enter your answer in the box.
m∠EBC = °
Rhombus A B C D with diagonals B D and A C intersecting at E.

Answers

Answer:

63°

Step-by-step explanation:

ABCD (rhombus): AC ⊥ BD and bisect at E and same length of 4 sides

∠EBA = 90 - 27 = 63

∠EBC = ∠EAB = 63°

Pythagorean Theorem Quiz.
1.) Find the unknown side length. Simplify answers that are radicals.
4
3
2.) Find the unknown side length. Simplify answers that are radicals.
16
12

Answers

Answer:

1.) 5              2.) 10.58

Step-by-step explanation:

For each one, you use the equation a^2 + b^2 = c^2 where c is the "hypotenuse"-- the side of the triangle opposite (facing) the right angle which is shown with a small box. The variables a and b do not matter, as long as they are the "legs", the other 2 sides.

So it is 4^2 + 3^2 = c^2 which simplifies to 16+9=25=c^2 and square root both sides and you get c=5

and 12^2 + b^2 = 16^2 which simplifies to 144+ b^2 = 256 and subtract 144 from both sides and you get b^2 = 112 and square root both sides and it is approximately 10.6 :)

Mark is going shopping to buy hamburger buns and hot dog buns. Each pack of hamburger buns costs $1.49 and each pack of hot dog buns costs $1.25. Mark wants to spend less than $15 on buns.

Answers

Answer: He should spend $13.7 and he bought 5 of each bun and hotdog

Step-by-step explanation:

Which of the following correctly shows the distributive property?
A 4(x + 5) = 5(x + 4)
B
4(x + 5) = (4)(x) + 5
с
4(x + 5) = x + (4)(5)
D
4(x + 5) = (4)(x) + (4)(5)


Plsssss I need help

Answers

The distributive property is when you use the number on the outside of the parentheses to multiply the numbers on the inside of parentheses. This is usually used when the option is given and there is a variable inside.

Now onto the question, 4(x + 5)

We can actually break this down into parts so it’s not just one thing.

(4)(x) + (4)(5) would be the broken down form.

Thus, the answer to your question is:
D. 4(x + 5) = (4)(x) + (4)(5)

which expression is equivalent to 3x - -3y

Answers

Answer:

3x + 3y

Step-by-step explanation:

The two minus signs make a plus sign. Therefore, we replace the minus signs with a plus sign, getting 3x + 3y.

3x+3y
The two minus signs cancel each out and you add it instead.

A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs of the parabolas shown below. Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply. From x = -2 to x = 0, the average rate of change for both functions is negative For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. The quadratic function, y = x2 + 3, has an x-intercept at the origin The quadratic function, y = x2, has an x-intercept at the origin From x = -2 to x = 0, the average rate of change for both functions is positive For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

Answers

Answer:

Step-by-step explanation:

From x = -2 to x = 0, the average rate of change for both functions is negative

The quadratic function, y = x2, has an x-intercept at the origin

For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

those 3 are good

The quadratic function, y = x², has an x-intercept at the origin is, TRUE

And, The quadratic function, y = x² + 3, has an x-intercept at the origin is, FALSE

From x = -2 to x = 0, the average rate of change for both functions is positive is, FALSE

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, We have;

When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.

Hence, From x = -2 to x = 0, the average rate of change for both functions is negative is true.

And, Both are declining if you read the graph from left to right.

For the quadratic function, y = x², the coordinate (2, 3) is a solution to the equation of the function is false.

y = x²

If we insert 2 into y = x² we get y = 4 but our point (2, 3) has y = 3

For the quadratic function, y = x² + 3, the coordinate (2, 7) is a solution to the equation of the function is true.

If we insert 2 for x, we see that;

⇒  y = x² + 3

⇒  y = 2² + 3

⇒  y = 7

And, our y value in the point (2, 7) is 7.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2

what is 3 times 3???​

Answers

Answer:

9

Step-by-step explanation:

3×3=9

3+3+3=9

Yeeeeejsndnnsjx

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