Answer:
Step-by-step explanation:
Area = 1/2 × base × height
Base(b) = 7 feet
Height(h) = 12 feet
Area = 1/2 × 7 × 12 = 7 × 6 = 42 feet²
Answer:
f'(x)
Step-by-step explanation:
The derivative of the function:

The rule for the product of two functions:
f'(x)
Therefore
g(x)
g'(x)
f(x)
f'(x)
f'(x)
Answer:

Step-by-step explanation:
We want to write the trignometric expression:

As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:

Take the secant of both sides:

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

By substitutition:

Using an double-angle identity:

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

Simplify. Therefore:

Answer:
A = 3
Step-by-step explanation:
Given
(5x² + 3x + 4) - (2x² + 5x - 1)
Remove the parenthesis from the first and distribute the second by - 1
= 5x² + 3x + 4 - 2x² - 5x + 1 ← collect like terms
= 3x² - 2x + 5
In the form Ax² + Bx + C
with A = 3