The first column belongs together and the 2nd column goes with 3rd equation and last column goes with 2nd equation you have to focus on the wording :)
If c is the longest side, then c must be equal to 10 in order to have a right triangle. This is due to the pythagorean theorem
a^2+b^2 = c^2
6^2+8^2 = c^2
36+64 = c^2
100 = c^2
c^2 = 100
sqrt(c^2) = sqrt(100) ... apply square root to both sides
c = sqrt(100)
c = 10
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So if we know that c = 10, then the side lengths 6,8,c form a right triangle.
<h3>
Answer: 99 and 88</h3>
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Explanation:
The ratio of the two numbers is 9 to 8, which we can write as shorthand into 9:8
Multiplying both parts by x gets us the ratio 9x:8x where x is nonzero.
The numbers 9x and 8x add up to 187, so,
9x+8x = 187
17x = 187
x = 187/17
x = 11
Which then means
- 9x = 9*11 = 99
- 8x = 8*11 = 88
are the two numbers. Note how 9x+8x = 99+88 = 187 to help confirm the answers. Furthermore, note how 99:88 reduces to 9:8 after dividing both parts by the GCF 11.
Answer: (-5,-5) --> (-x,-y)
Step-by-step explanation:
90 degree rotation: (-y,x)
180 degree rotation: (-x,-y)
270 degree rotation: (y,-x)
Answer:
3
1 -----
25
Step-by-step explanation:
