Answer:

Step-by-step explanation:
Draw a diagonal (line segment from one corner to the opposite corner). You'll form two right triangles with the diagonal being the hypotenuse of both triangles.
Use the Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2.
Let h represent the length of the hypotenuse.

The question is just a bit vague. It should say opposite corners. I'm assuming the question does not mean the length of one side!
Answer:
where are the multiple choice
Step-by-step explanation:
Answer:
20, 45
Step-by-step explanation:
A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles must add up to 65.
The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9
A ratio partition parts of something. We can add the ratio intergers to find it full length.
4+9=13.
Divide 65/13=5.
Multiply 5x4 and 5x9 serpately.
We get 20 and 45
Answer:
o (16, 8, 12)
Step-by-step explanation:
1st number: 8*2 =16
2nd number:12-4=8
3rd number: given
Answer:
Step-by-step explanation:
Unclear. Did you mean f(x) = 2^(x + 3)? If so, the parentheses are mandatory.
Assuming that f(x) = 2^(x + 3) is correct, then:
a) f(2) = 2^(2 + 3) = 2^5 = 32
b) f'(x) = 2^(x + 3)*(x + 3)' = 2^(x + 3)(1) = 2^(x + 3)
c) f"(x) = 2^(x + 3) (same as in (b)), so that:
f"(12) = 2^15