Answer:
![Leg\ 1 = 8](https://tex.z-dn.net/?f=Leg%5C%201%20%3D%208)
![Leg\ 2 = 15](https://tex.z-dn.net/?f=Leg%5C%202%20%3D%2015)
Step-by-step explanation:
Given: See Attachment
Required
Determine the length of the legs
To do this, we apply Pythagoras theorem.
![Hyp^2 = Adj^2 + Opp^2](https://tex.z-dn.net/?f=Hyp%5E2%20%3D%20Adj%5E2%20%2B%20Opp%5E2)
In this case:
![17^2 = x^2 + (2x- 1)^2](https://tex.z-dn.net/?f=17%5E2%20%3D%20x%5E2%20%2B%20%282x-%201%29%5E2)
Open Bracket
![17^2 = x^2 + 4x^2- 2x-2x + 1](https://tex.z-dn.net/?f=17%5E2%20%3D%20x%5E2%20%2B%204x%5E2-%202x-2x%20%2B%201)
![17^2 = 5x^2 - 4x + 1](https://tex.z-dn.net/?f=17%5E2%20%3D%205x%5E2%20-%204x%20%2B%201)
![289= 5x^2 - 4x + 1](https://tex.z-dn.net/?f=289%3D%205x%5E2%20-%204x%20%2B%201)
Collect Like Terms
![5x^2 - 4x + 1 - 289 = 0](https://tex.z-dn.net/?f=5x%5E2%20-%204x%20%2B%201%20-%20289%20%3D%200)
![5x^2 - 4x - 288 = 0](https://tex.z-dn.net/?f=5x%5E2%20-%204x%20-%20288%20%3D%200)
Solving using quadratic formula:
![x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%5C%C2%B1%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D)
So:
or ![x = -7.2](https://tex.z-dn.net/?f=x%20%3D%20-7.2)
Since, x can't be negative, then:
![x = 8](https://tex.z-dn.net/?f=x%20%3D%208)
One of the leg is:
![Leg\ 1 = x](https://tex.z-dn.net/?f=Leg%5C%201%20%3D%20x)
![Leg\ 1 = 8](https://tex.z-dn.net/?f=Leg%5C%201%20%3D%208)
![Leg\ 2 = 2x - 1](https://tex.z-dn.net/?f=Leg%5C%202%20%3D%202x%20-%201)
![Leg\ 2 = 2*8 - 1](https://tex.z-dn.net/?f=Leg%5C%202%20%3D%202%2A8%20-%201)
![Leg\ 2 = 16 - 1](https://tex.z-dn.net/?f=Leg%5C%202%20%3D%2016%20-%201)
![Leg\ 2 = 15](https://tex.z-dn.net/?f=Leg%5C%202%20%3D%2015)
Answer:
8m
Step-by-step explanation:
The area of a square is length*width.
We can square root the area to get the length of each side. Since the shape is a <em>square</em>, the lengths are the same.
=8
One side is <u>8m</u>.
Answer:
Associative
Step-by-step explanation:
Associative property is the one that says that when 3 or more numbers are summed, the grouping of such numbers has no effect on the result of the sum. It is:
(a + b) + c = a + (b + c) for every a, b and c real numbers.
Hope this helps! answer= 0.366 to 3 decimal places
Answer:
fx2 + fx2 + fx2 = 3
f
x
2
Step-by-step explanation: