Answer:
x=5
Step-by-step explanation:
x, x+7, x+8 must be a Pythagorean triple for it to make a right triangle. The only Pythagorean triple fitting these numbers is 5, 12, 13 so x must be 5.
Answer: ![x^2+\frac{1}{2}x+\frac{1}{16}=2 +\frac{1}{16}](https://tex.z-dn.net/?f=x%5E2%2B%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B1%7D%7B16%7D%3D2%20%2B%5Cfrac%7B1%7D%7B16%7D)
Step-by-step explanation:
Given the following Quadratic equation:
![x^2+\frac{1}{2}x=2 +](https://tex.z-dn.net/?f=x%5E2%2B%5Cfrac%7B1%7D%7B2%7Dx%3D2%20%2B)
You can change its formed by Completing the square.
In order to do Complete the square, you can follow these steps:
1. You can identify that:
![b=\frac{1}{2}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B1%7D%7B2%7D)
2. Then, you can find
. This is:
![(\frac{\frac{1}{2}}{2})^2=(\frac{1}{4})^2=\frac{1}{16}](https://tex.z-dn.net/?f=%28%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B2%7D%29%5E2%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5E2%3D%5Cfrac%7B1%7D%7B16%7D)
3. Now you must add
to both sides of the Quadratic equation in order to keep the balance. Then:
![x^2+\frac{1}{2}x+\frac{1}{16}=2 +\frac{1}{16}](https://tex.z-dn.net/?f=x%5E2%2B%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B1%7D%7B16%7D%3D2%20%2B%5Cfrac%7B1%7D%7B16%7D)
4. Finally, simplifying by actoring and adding the like terms, you get:
![(x+\frac{1}{4})^2=\frac{9}{4}](https://tex.z-dn.net/?f=%28x%2B%5Cfrac%7B1%7D%7B4%7D%29%5E2%3D%5Cfrac%7B9%7D%7B4%7D)
Answer:
y = -3cosx
Step-by-step explanation:
Let me rewrite your question:
- One x-intercept is ( pi/2 , 0) so we know that it is a trigonometric function such as cosine that has x-intercept (pi/2,0).
-
The maximum value is 3, it means the amplitude must be 3: y = 3 cos x
-
The y-intercept is (0,-3), means when x =0, y will equal to negative 3 (-3) then it is the function y = -3cosx,
So y = -3cosx is the function has the given properties
Negative slope and shifted 5 down on the y axis with a root at x=-5
Answer:
do 49 x 49 which equals 2,401 then check it
put 2,401 square root which equals 49