<span>A. Lines that go up from left to right should have a positive slope.
B. Lines that go down from left to right should have a negative slope.
</span><span>D. The slope of a steep line should be bigger than the slope of a flat line.
E. The slope of a steep line should be smaller than the slope of a flat line.</span>
Answer:
Step-by-step explanation:
There are two operations involved:
Vertical translation:
(1)
Note: Positive sign represent a translation upwards.
Horizontal translation:
(2)
Note: Positive sign represent a translation leftwards.
Then, the new function must be:
The x² term will be C(5,2)x²·2³ = 80x².
The coefficient is 80.
_____
C(n, k) = n!/(k!·(n-k)!)
C(5, 2) = 5·4/(2·1) = 10
This is a right angle triangle and you use the Pythagorean theorem to solve for the hypotenuse (the diagonal)
A^2 + B^2 = C^2
8^2 + 8^2 = C^2
64 + 64 = C^2
128 = C^2
C = square_root (128)
C = 11 (to the nearest whole number)
The diagonal is 11 feet (to the nearest whole number)