Answer:
We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).
Step-by-step explanation:
For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?
When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.
For this example, I recognize that the power rule of exponents is being used:

So let's apply this rule to the given equation.
(3^5)^4 = (3^4)^5
3^(5*4) = 3^(4*5)
3^20 = 3^20
Now we know both sides of the equation equal 3^20 (or 3486784401).
Parallel lines need the same slope, and for y = 1/2x + 4, it is 1/2.
Let's solve for b.
2 = 1/2(-6) + b
2 = -3 + b
Add 3 on both sides.
5 = b
y = 1/2x + 5
Answer:
P = 0.5Q - 20
Step-by-step explanation:
P = kQ + c
substitute Q = 60 , P = 10 into the equation
10 = 60k + c → (1)
substitute Q = 240, P = 100 into the equation
100 = 240k + c → (2)
subtract (1) from (2) term by term to eliminate c
90 = 180k ( divide both sides by 180 )
=
= 0.5 = k
substitute k = 0.5 into (1) and solve for c
10 = 60(0.5) + c
10 = 30 + c ( subtract 30 from both sides )
- 20 = c
then
P = 0.5Q - 20
Answer:
T=3.3 HOURS AFTER THEY LEAVE THEY WILL BE 363 MILES APART
Step-by-step explanation:
internet
Answer:
Vertical angels, b is the same as the opposite angle, 86
Step-by-step explanation: