ANSWER:
STEP-BY-STEP EXPLANATION:
We have the following equation:
The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):
The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.
Therefore, the domain is x ≥ -4.
So the correct answer is D.
Answer:
x2 - 4x - 21
Step-by-step explanation:
Area = (x -7 )(x +3)
= x*x - 7*x + x*3 - 7*3
=x2 - 4x - 21
(a) Complementary angles
(b) Vertical angles
(c) Supplementary angles
<u>Explanation:</u>
Complementary angles are those two angles whose sum is 90 degrees.
Supplementary angles are those two angles whose sum is 180 degrees.
Vertical angles are the angles opposite each other when two lines cross.
(a)
Angles 1 and 5 are complementary angles
(b)
Angles 3 and 5 are vertical angles
(c)
Angles 3 and 4 are supplementary angles
Answer:
1. 
ft 2. 
yards 3. 
units.
Step-by-step explanation:
Pythagorean's Theorem 
A and b are both side lengths, c is the hypotenuse.
7^2 + 5^2 = 74
sqrt(74) is the answer for 1.
30^2 - 5^2 = 875
Simplify the radical. sqrt(875) --> 5sqrt(35). The answer for three.
There's a rule in geometry that says a diagonal of a square is the same length as taking a side length times the square root of two. There's your answer for two.
Answer:
Step-by-step explanation:
So the first thing to do is get the number of angles inside this pentagon, which is 540 degrees. One way to do this is that you know a pentagon is formed of 3 triangles and since there are 180 degrees in a triangle, 3x180=540
Then it is algebra
540=91+125+92+(3x-5)+(4x-8)
Simplify what you can and collect like terms
540=308+3x-5+4x-8
540=308+7x-13
Then move everything over to the one side so that the variable is isolated
540-308+13=7x
245=7x
242/7=x
35=x
