Let x be the shorter leg, then the longer is 6x+22 and the hypotenuse is 6x+23.
x² + (6x+22)² = (6x+23)²
x² + 36x² + 264x + 484 = 36x² + 276x + 529
x² - 12x - 45 = 0
(x+3)(x-15)=0
x=-3 or 15. since you can't have negative length discard-3, then the sides are 15, 112, and 113
Answer:
Step-by-step explanation:
4 because i said so
The answer is B just took the test
Answer:
Small candles cost 1 dollar, large candles cost 5 dollars.
Step-by-step explanation:
Let s represent small candles, L represent large candles.
You: 15 = 5s + 2L
Friend: 21 = 6s + 3L
Now you can solve for s and L, the cost of each candle type!
15 = 5s + 2L Multiply this equation by 3 -> 45 = 15s + 6L
21 = 6s + 3L Multiply this equation by 2 -> 42 = 12s + 6L
Now we have equal L's in both equations. Use elimination to get rid of L! Subtract the equations from each other.
45 = 15s + 6L
- 42 = 12s + 6L
------------------------
3 = 3s + 0L
Now solve for s.
3 = 3s
<u>s = 1 dollar</u>
Plug s back in to get L.
15 = 5s + 2L
15 = 5(1) + 2L
15 = 5 + 2L
10 = 2L
<u>L = 5 dollars</u>
The equation for line E is x = 8.
This is because the line intersects the x-axis at the point (8,0)
