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2 years ago

Complete the equation of the line through (3, -8) and (6,-4). Use exact numbers.

Mathematics

1 answer:

Lina20 [59]2 years ago

4 0

Answer:

y = 4/3x - 12

Step-by-step explanation:

To find the slope of the line, we do (y2 - y1) / (x2 - x1)

If we put in the values, we'll get

(-4 - -8) / (6 - 3)

Simplify and get

(-4 + 8) / 3

4 / 3

Your slope is now 4/3, so you can put it into your equation y = mx + b

y = 4/3x + b

To find b, we can plug in the values from one of your points. Lets use (3, -8)

-8 = 4/3 * 3 + b

Now solve the equation

-8 = 4 + b

-12 = b

Now that you have b, your equation is complete:

y = 4/3x - 12

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2/5 + a/2 = 4/5 + 2a

marin [14]

Answer:

a= -4/15

Step-by-step explanation:

Step one: 4+5a=8+20a

Step two: 5a-20a=8-4

Step three: -15a=4 then divide both sides by 15 to get your answer :)

6 0

3 years ago

Which functions are symmetric with respect to the y-axis? Check all that apply.

lawyer [7]

F)x) is shaped like a V with the vertex at the origin so its is one of the choices.

B is also one because its |x| moved up 3 unuts
So is D.

8 0

3 years ago

Find the values for a and b that would make the following equation true (ax^2)(-6x^b)=12x^5

dedylja [7]

Answer:

x^b=x^3

Step-by-step explanation:

(ax^2)(-6x^b)=12x^5

(a)(6)=6a or a6

(x^2)(x^b)=x^5

x^3 because

(a^b)(a^c)=a^b+c

Hope this helped.

3 0

2 years ago

What is one of the solutions to the following system of equations? y2 x2 = 53 y − x = 5 (−10, −5) (−7, −2) (7, 2) (5, 10).

Aliun [14]

The solution of the system of equation is (-7, -2).

<h2>Given</h2>

The system of the equations;

$\rm y^2 + x^2 = 53 \\\\y -x = 5$

From equation 1

$\rm y -x=5\\\\y = 5+x$

Substitute the value of y in equation 1

$\rm y^2+x^2=53\\\\(5+x)^2+x^2=53\\\\25+x^2+10x+x^2=53\\\\2x^2+10x+25-53=0\\\\2 x^2 + 10x - 28 = 0 \\\\Divide \ by \ 2 \ both \ side \ the \ equation\\\\x^2 + 5x - 14 = 0\\\\x^2-7x+2x-14=0\\\\x(x-7) + 2(x-7) =0\\\\(x-7) \ (x+2)=0\\\\x-7=0 \ \ x = 7\\\\x +2 =0 \ \ x=-2$

The value of x= 2 is rejected because x = 2 not satisfy the equation.

Substitute 2 for the value of x in equation II

y − x = 5

y – 2 = 5

y = 5 +2

y = 7 (x =2, y =7) … Not included in the options

If x = -7

Substitute the value of x = -7 in the equation

$\rm y -x=5\\\\y - (-7)=5\\\\y +7= 5\\\\y = 5-7\\\\y = -2$

Hence, the solution of the system of equation is (-7, -2).

To know more about System of Equation click the link given below.

brainly.com/question/1495351

6 0

2 years ago

DIG DEEPER! A truck produces 22 pounds of carbon dioxide for every gallon of diesel

Illusion [34]

Answer:

y=22 x=18

Step-by-step explanation:

4 0

2 years ago