Answer:
15
Step-by-step explanation:
to do this you need to use the Pythagorean theorem
a^2+b^2=c^2
9^2+12^2=c^2
81+144=c^2
=![\sqrt{c^2}](https://tex.z-dn.net/?f=%5Csqrt%7Bc%5E2%7D)
c=15
Choice D
The slopes of two perpendicular lines are negative reciprocals of each other.
A and B PLEASE check though I am still human and I make mistakes
Answer:
All real values
Step-by-step explanation:
Given
![f(x) = (\frac{1}{3})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28%5Cfrac%7B1%7D%7B3%7D%29%5Ex)
Required
Determine the domain
The domain of a function are the values of x that makes the function to be defined.
From the given function, we can see that no single value of x will make the function become undefined.
Hence, the domain is:
x = (-∞, +∞)
In other words, the domain implies that all real numbers.
Hence:
Option (A) answers the question.
Answer:
=
−
5
Step-by-step explanation:
−
8
−
3
(
2
+
1
)
=
6
7
-8x{\color{#c92786}{-3(2x+1)}}=67
−8x−3(2x+1)=67
−
8
−
6
−
3
=
6
7
-8x{\color{#c92786}{-6x-3}}=67
−8x−6x−3=67
2
Combine like terms
−
8
−
6
−
3
=
6
7
{\color{#c92786}{-8x}}{\color{#c92786}{-6x}}-3=67
−8x−6x−3=67
−
1
4
−
3
=
6
7
{\color{#c92786}{-14x}}-3=67
−14x−3=67
3
Add
3
3
3
to both sides of the equation
−
1
4
−
3
=
6
7
-14x-3=67
−14x−3=67
−
1
4
−
3
+
3
=
6
7
+
3−
1
4
=
7
0
-14x=70
−14x=70
5
Divide both sides of the equation by the same term
−
1
4
=
7
0
-14x=70
−14x=70
−
1
4
−
1
4
=
7
0
−
1
4
\frac{-14x}{{\color{#c92786}{-14}}}=\frac{70}{{\color{#c92786}{-14}}}
−14−14x=−1470
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
−
5