Answer:
8
Step-by-step explanation:
This is a right triangle, which fits the Pythagorean Theorem, a^2 +b^2 = c^2. The variables a, b, and c all are sides of the triangle, while a and b are the two legs and c is the hypothenuse.
In this problem, we see that 6 and x are the legs and 10 is the hypothenuse. We put 6 as "a" and x as "b" (but it doesn't matter which is a and b) and 10 is c. Therefore, we have the equation:
6^2 + x^2 = 10^2
which further simplifies to:
36 + x^2 = 100
x^2 = 64
and so x would equal 8 (or -8, but it is impossible to have a side length of -8).
Therefore, the missing side is 8.
Answer:
The functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function.
Step-by-step explanation:
In the figure attached, the tables are shown.
For example, in table A the pair (1, 1051.21) is present, but the pair (1051.21, 1) is not present in Table B. Therefore, the functions are not inverses.
Answer:
20. 44
21. 9
22. 94
23. 116
24. 17
25. 13
Step-by-step explanation:
Keep in mind complementary and supplementary angles. When two angles are right next to each other on a straight line, they add up to 180 degrees, such as the angles in 22 and 23. The other two angles are complementary angles since they add up to 90 degrees. So to solve for b, subtract the angle you are given from either 90 or 180 depending on if it is complementary or supplementary.
For question 20:
90 = b + 46
90 - 46 = b
b = 44
Then do the same for 21.
For question 22:
180 = b + 86
180 - 86 = b
b = 94
Then do the same for 23.
For the last two questions you need to remember that angles that are diagonal from each other are equivalent angles, so they equal each other.
For question 24:
70 = 4x+2
68 = 4x
x = 17
Do the same for 25.
83 = 6x+5
78 = 6x
x =13
Answer:
x²-9x-1
Step-by-step explanation:
move the -x² in front and get -x²+9x+1
then multiply the whole equation by -1 and get x²-9x-1
The answer would be A, 2 1/2 hours.
Hope I helped!
~Mschmindy
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