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3 years ago

What equation represents the line that passes through the points (-3 7 and (3 3?

1 answer:

3 0

Hello : let A(-3,7) B(3,3)
the slope is : (YB - YA)/(XB -XA)
(3-7)/(3+3) = -2/3
an equation is : y=ax+b a is a slope

y = (-2/3)x +b

the line through point B (3,3) : 3 = (-2/3)(3)+b
b =5
the equation is : y =(-2/3)x+5

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= Knowledge Check

lbvjy [14]

Answer:

Slope is -3.

Step-by-step explanation:

The equation to get the slope is y2-y1/x2-x1. So, plug in the points to the equation. -7-8/7-3 = -15/5 = -3/1 = -3.

3 0

3 years ago

HELP will give branliest!

amm1812

Answer:

perimeter 140

Step-by-step explanation:

60L x 10W = 600

60(2) + 10(2) = 140

8 0

3 years ago

I need to find x pls

Rainbow [258]

I hope this helps you

3 0

3 years ago

Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a

Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

$U(x, y) = x^2y^8$

$MU_x =\frac{\partial U}{\partial x} = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\$

Price of apples, Px=$4

Price of tomatoes, Py=$3

Ratio of their Marginal Utilities

$\frac{MU_x}{MU_y} = \frac{Px}{Py}$

$\frac{y}{4x} = \frac{4}{3}$

$y=\frac{16x}{3}$

Since Natalie’s income is $320

320 = xPx+yPy

$320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33$

Since x=16, Natalie will consume 16 apples.

6 0

3 years ago

Is 12 a prime or composite? (Can someone clearly explain what a prime and composite are?)

inn [45]

12 is a composite number.

Composite Number-A whole number that can be divided evenly by numbers other than 1 or itself.

Prime Number- A Prime Number can be divided evenly only by 1, or itself.

5 0

3 years ago

Read 2 more answers