Answer:
D.
Step-by-step explanation:
To see if a line is parallel to y = -(2/3)x + 8 you need to check if the coefficients at y and x are of the same ratio. This immediately removes answers A and C, because of the wrong sign at x compared to y.
What's left is to see which of the answers B and D passes through (4, -5) by inputting x = 4 and y = -5
B.
left = -5 - 5 = -10
right = -(2/3)(4 + 4) = -16/3
So it's D. Let's verify:
D.
left = -5 + 5 = 0
right = -(2/3)(4 - 4) = 0
Checks out.
Answer:
20480
Step-by-step explanation:
math
(f g)(x) means f(x) * g(x), so plug the value of each function in:
(x+2)(x-4)
And solve by distributing using FOIL:
Firsts: x * x = x²
Outers: x * -4 = -4x
Inners: 2 * x = 2x
Lasts: 2 * -4 = -8
Combine them all together:
x² - 4x + 2x - 8
Combine like terms (the -4x and 2x):
x² - 2x - 8
So the second to last one is correct.
Answer:
Step-by-step explanation:
For the surface area we need to add up all the areas in the pyramid:
- area of the triangle sides (there are 4 triangles)
Area of the base:
the base is a square, and the area of a square is given by:
where 
is the length of the side: 
, thus:
Area of the triangles:
one triangle has the area given by the formula:
where 
is the base of the triangle: 
and 
is the height of the triangle: 
, thus we have the following:
the expression that represents the surface area of the pyramid is:
substituting our values:
which is option B
Answer: C
For the people who want only one answer and not 2 for the question if you can only submit one answer :)
