Answer:
25 cm.
Step-by-step explanation:
If the hypotenuse is x cm long the 2 legs are x-5 and x-10 cm long.
So by the Pythagoras theorem:
x^2 = (x - 5)^2 + (x - 10)^2
x^2 = x^2 - 10x + 25 + x^2 - 20x + 100
x^2 - 30x + 125 = 0
(x - 5)(x - 25) = 0
x = 5, 25
We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.
How am I suppose to help you if I can’t see the words. It’s too blurry.
Answer:
10
Step-by-step explanation:
-5 * -2 = 10
cuz - * - = +
and 5 * 2 = 10
hence 10
Answer: x=- 8 or x=2
Step-by-step explanation:
1. To solve this problem you can applly the quadratic formula, which is shown below:
![x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%2B%2F-%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%7B2a%7D)
2. The quadratic equation is:
![x^{2}+6x-6-10=0\\x^{2}+6x-16=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B6x-6-10%3D0%5C%5Cx%5E%7B2%7D%2B6x-16%3D0)
3. Then:
a=1
b=6
c=-16
4. Therefore, when you substitute these values into the quadratic formula, you obtain the following result:
![x=\frac{6+/-\sqrt{6^{2}-4(1)(-16)}}{2(1)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B6%2B%2F-%5Csqrt%7B6%5E%7B2%7D-4%281%29%28-16%29%7D%7D%7B2%281%29%7D)
![x_1=-8\\x_2=2](https://tex.z-dn.net/?f=x_1%3D-8%5C%5Cx_2%3D2)