Log₄(2 – x) = log₄(–5x – 18).
Since the logs have the same basis (4) & are equal then:
(2 – x) = (–5x – 18). . Now solve for x & you will find x = -5
Answer:
17
Step-by-step explanation:
Pythagorean Theorem
a^2 + b^2 = c^2
8^2 + 15^2 = c^2
64 + 225 = c^2
c^2 = 289, c = 17
8, 15, 17 is also a common Pythagorean triple.
16x + 96 would be an equivalent expression
4 --> 160
The inside of the radical must be greater than or equal to zero. When you plug in c=3, the answer is 5 >0. When c=-6, -4 <0. Therefore c=3 is true.
Whenever you're interested in computing the (absolute) difference between two values of a certain variable, you have to subtract the final value and the initial value. This is often written as delta:

So, in this case, the final temperature is -30°F. The initial temperature is 115°F. So, the variation is

A negative delta indicates that the value decreased, which is our case.