The answer is B on edgeunity
Answer:
y = 3/2x - 5
Step-by-step explanation:
To find the equation of the line
Step 1: find slope
( 2 , -2) ( 4 , 1)
x_1 = 2
y_1 = -2
x_2 = 4
y_2 = 1
Insert the values into
m = (y_2 - y_1) / (x_2 - x_1)
m = ( 1 - (-2) / (4 - 2)
= ( 1 + 2) / ( 4 -2 )
= 3 / 2
m = 3/2
Step 2: substitute m into the equation
y = mx + c
y = 3/2x + c
Step 3: substitute any of the two points into the equation
Let's pick (4 , 1)
x = 4
y = 1
y = 3/2x + c
1 = 3/2(4) + c
1 = 3*4/2 + c
1 = 12/2 + c
1 = 6 + c
1 - 6 = c
c = 1 - 6
c = -5
Step 4 : substitute c into the equation
y = 3/2x + c
y = 3/2x - 5
The equation of the line is
y = 3/2x - 5
7₈/7₈, 2(-2) ˣ 2(-3), 4₂ ˣ 49-1), 5(-10)/5(-12)
Answer:
13 x^2 -6x -9
Step-by-step explanation:
8x^2-4x-3+5x^2-2x-6
Combine like terms
8x^2+5x^2 -4x-2x -6-3
13 x^2 -6x -9
Answer:
V(w) = 6*w³ [cubic units]
Step-by-step explanation:
h height of the rectangular prism
L the length of the base
w the width of the base
Then the volume of the prism is area of the base times heigth therefore
V(p) = L*w*h [cubic units] (1)
Now the length of the base L = 2*w
And the height of the prism is h = 3*w
If we plugging these values in equation (1) we get olume of a prism as function of w then
V(w) = 2*w* w * 3*w
V(w) = 6*w³ [cubic units]