Answer:
the Diagonal is 41 units
Step-by-step explanation:
Since the sides of a rectangle, to be a rectangle, meet at 90° we use Pythagorean Theorem a² + b² = c²
Width and Length are the legs and the diagonal is the hypotenuse
9² + 40² = c²
81 + 1600 = c²
1681 = c²
√1681 = √c²
41 = c
We want to find

, for

.
Recall the product rule: for 2 differentiable functions f and g, the derivative of their product is as follows:

.
Thus,
![y'=[(x^2+2)^3]'[(x^3+3)^2]+[(x^3+3)^2]'[(x^2+2)^3]\\\\ =3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3](https://tex.z-dn.net/?f=y%27%3D%5B%28x%5E2%2B2%29%5E3%5D%27%5B%28x%5E3%2B3%29%5E2%5D%2B%5B%28x%5E3%2B3%29%5E2%5D%27%5B%28x%5E2%2B2%29%5E3%5D%5C%5C%5C%5C%20%3D3%28x%5E2%2B2%29%5E2%28x%5E3%2B3%29%5E2%2B2%28x%5E3%2B3%29%28x%5E2%2B2%29%5E3)
Answer: A)

.
Answer:
x=3 or x=−9
Step-by-step explanation:
Step 1: Subtract 27 from both sides.
x2+6x−27=27−27
x2+6x−27=0
Step 2: Factor left side of equation.
(x−3)(x+9)=0
Step 3: Set factors equal to 0.
x−3=0 or x+9=0
x=3 or x=−9
Answer:
x=3 or x=−9
Answer:
Step-by-step explanation:
2s + t = r
t = r - 2s
Answer:
is the a. Perpendicular lines form 90° angles.