The answer is D. Think of the Pythagorean Theorem which states that a^2 + b^2 = c^2. The Pythagorean Identities used in trigonometry are the angle version which can be used to simplify expressions.
Answer:
The function rule in slope-intercept form is:

Step-by-step explanation:
The slope-intercept form of a function is given as:

Here
m is the rate of change of function and b is the y-intercept
The rate of change is calculated as:

For this, any two pairs of input and output can be taken.
So using the pairs (1,-3) and (2,-1)

Putting the value of slope in slope-intercept form

Putting (1,-3) in the equation

Putting the value of b

Hence,
The function rule in slope-intercept form is:

Two lines or line segments can either intersect<span> (cross) each other or be </span>parallel.
Think of the parallel lines as never meeting each other, no matter how much you would continue them to both directions
Part A: Yes this is a function because there are no repeated x values. Each x value points to exactly one y output. You can graph each point and the graph will not fail the vertical line test.
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Part B: Plug x = 6 into the f(x) function given to get
f(x) = 7x-15
f(6) = 7*6-15
f(6) = 42-15
f(6) = 27
Now compare this with the table. According to the table, when x = 6, the value of y is 14. So the f(x) value is larger than the table value when x = 6
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Part C:
Replace f(x) with 6 and solve for x
f(x) = 7x-15
6 = 7x-15
6+15 = 7x-15+15
21 = 7x
7x = 21
7x/7 = 21/7
x = 3
So the final answer, for part C, is x = 3
Answer:
[D]: 3,581.4 ft³ .
_________________________________________________Volume of cylinder = BASE AREA * height = area of the circle * height;
=

r² * h ;
= (3.14) * (10 ft)² * (11.4 ft)
= 3581.4 ft³ .________________________________