f(x)g(x) = 9x² + 10x - 16
<u>Step-by-step explanation:</u>
Step 1:
Given f(x) = 3x - 4 × 2 + 6x and g(x) = 5x + 2 × 2 - 3x
f(x) = 9x - 8
g(x) = 2x + 4
f(x)g(x) = (9x - 8)(2x + 4)
= 18x² + 36x - 16x -32
= 18x² + 20x - 32
= 9x² + 10x - 16
Answer:
This is a direct variation where the constant of variation is 5/9
Step-by-step explanation:
The equation for direct variation is y = kx
5x-9y =0
Lets try to get this equation in the above form
Add 9y to each side
5x-9y +9y = 9y
5x = 9y
Divide each side by 9
5/9 x = 9y/9
5/9x = y
This is in the form y = k x where k =5/9
Lateral faces are all the sides of the prisms EXCEPT the bases, which are the sides on the top and bottom. To find the area of the lateral faces we can use the formula: perimeter x height.
perimeter = 2 (6 + 8) = 2 x 14 = 28
height = 14
area of the lateral faces = perimeter x height = 28 x 14 = 392
Hope this helps!
The correct answer is <span>{-5/2, 10/3}.</span>