Answer:
30 in
Step-by-step explanation:
18^2 + 24^2 = x^2
324 + 576 = x^2
900 = x^2
30 = x
Answer:
y = 2|x| - 3
Step-by-step explanation:
We'll start with our parent function which is y = |x|. Notice that graph is translated down by 3 units. So, we'll add that:

Also notice that the ordered pair (1, -1) is on the graph. |1| = 1, so a translation of -3 should take it to -2 and it should have been (1, -2). But, it's not so it must be that the graph is stretched/compressed. If you multiply every point by 2, it gives us the result we want. Say for example, f(1) = 2|1| - 3 = 2 - 3 = -1. We get the point (1, -1) which is exactly what we want. We write compressions as (where a is the compression/stretching constant):

Our compression constant is 2, so our final answer is:
<em>y = 2|x| - 3</em>.
Answer:
1) Volume of prism = 
2) Option B is the correct answer.
Explanation:
1) Volume of a prism is given by the expression, Volume V = Base area of prism x Height of prism.
Base area = 
Volume = 
Volume of prism = 
2) Volume of a prism is given by the expression, Volume V = Base area of prism x Height of prism.
Base area = 
Volume = 
Option B is the correct answer.
2.949, 2.948, 2.947, 2.946, 2.945
Answer:
for 48, the prime numbers I have obtained are 2, 3, 2, 2, and 2