Answer:
Brain travelled 687.68 from the cliff.
Step-by-step explanation:
Given that:
Height of the cliff = 520
Base of the cliff = 450
The distance will form the hypotenuse of right angled triangle.
Pythagorean theorem states square of hypotenuse of right angled triangle is equal to the sum of squares of base and height of triangle.
Using pythagorean theorem;
a = 520, b=450, c = hypotenuse

Taking square root on both sides

Hence,
Brain travelled 687.68 from the cliff.
Answer:
- g(5x) = 0
- x = -10
Step-by-step explanation:
Do what your instructions say: read the graph and solve.
1. In order to find x, you look for the point where g(x) is 4. That point is found where x = -2. (See the first attachment.)
Then 5x = 5·(-2) = -10. To answer the question, you need to find the value of g(-10). Look where the graph crosses the vertical line at x=-10. It is at y=0, so ...
... g(5x) = g(-10) = 0
2. You already found the answer to this when looking for the answer to the first question. g(x) = 0 when x = -10. (See the second attachment.)
Answer:

Step-by-step explanation:
Given:

Then the composition of functions:

where we have written the final functional expression in its standard form.
Answer:
296 dollars
Step-by-step explanation:
9514 1404 393
Answer:
(b) √65
Step-by-step explanation:
The modulus of a complex number is the root of the sum of the squares of the real and imaginary parts.
|1 -8i| = √(1² +(-8)²) = √(1+64) = √65