Answers:
hypotenuse = 20 feet
longer leg = 16 feet
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Explanation:
c = x = length of the hypotenuse
a = x-4 = length of one of the legs
b = 12 = length of the other leg
Use the pythagorean theorem
a^2 + b^2 = c^2
12^2 + (x-4)^2 = (x)^2
144 + x^2 - 8x + 16 = x^2
144 - 8x + 16 = 0 .... the x^2 terms cancel
160-8x = 0
160 = 8x
8x = 160
x = 160/8
x = 20 is the hypotenuse
x-4 = 20-4 = 16 is the longer leg
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Check:
12^2+16^2 = 144+256 = 400
20^2 = 400
Since 12^2+16^2 = 20^2 is true, this means we have a right triangle with legs of 12 and 16, while the hypotenuse is 20. The answer is confirmed.
Answer:
The sideways E is used for indcating that a point, object, or number belongs to a certian set.
Step-by-step explanation:
If there is nothing missing in your question, the answer is :
0.5y - 10x
Hello from MrBillDoesMath!
Answer:
975/1000
Discussion:
.975 = 975/1000
Thank you,
MrB
Answer:
u = -2, -3/5
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Factoring
- Finding roots
Step-by-step explanation:
<u>Step 1: Define equation</u>
5u² + 6 = -13u
<u>Step 2: Solve for </u><em><u>u</u></em>
- Rewrite: 5u² + 13u + 6 = 0
- Factor: (u + 2)(5u + 3) = 0
- Find roots: u = -2, -3/5
