Answer: 12
Step-by-step explanation:
this is a right angled triangle so you use the pythagorean theory
which is a^2 + b^2 = c^2
you have c and b already. c is the hypotenuse.
a^2 + 16^2 = 20^2
a^2 + 256 = 400
a^2 = 400 - 256
a^2 = 144
then you square root 144 and get..
a = 12
Answer:
Step-by-step explanation:
1/6
Answer:
D
Step-by-step explanation:
f(x) = 10x - 5 → x = 10g(x) - 5 → x + 5 = 10g(x) →
g(x) = (x + 5)/10
Answer:
(2,4)
Step-by-step explanation:
We have the system:
y=x+2
y=3x-2.
This is already setup for substitution.
I'm going to replace my first y with what the second y equals.
That is, I'm going to write 3x-2=x+2.
Time to solve the following for x:
3x-2=x+2
Subtract x on both sides:
2x-2= 2
Add 2 on both sides:
2x. = 4
Divide both sides by 2:
x. = 2
Now that we know x=2 and we have an equation that relates x to y: either y=x+2 or y=3x-2, doesn't matter which we use, we can find y.
So we y=x+2 with x=2 which means y=2+2=4.
So the solution, the intersection, is (2,4).
25%
since there are 4 books, and only one is a mathematics book, there is a 1/4 chance. in other words, 25%