x - y = 16
x^2 + x^2 = 130
----------------
x^2 - y^2 = 256
+(x^2 + y^2 = 130)
2x^2 = 386
x^2 = 193
x = <span>13.892 (3DP)
----
</span>x - y = 16
13.892 - y = 16
-y = 2.108
y = -2.108
The numbers are: 13.892 and -2.108
Answer:
128 ft sq.
Step-by-step explanation:
The way you find the area of a square is by multiplying one side by another, and since it is a square, the sides are the same. This means that if we have a square with a side length of x, the way to find the area of that square is to multiply x by x, which can be written as
. Now, since we're doubling this, we can say that double Mary's garden is
. If we substitute 8 in for x, we have to multiply
by 2 or 8 by 8 by 2 to find our answer. 8 times 8 is 64 and 64 times 2 is 128.
Answer:
The required equation for the amount of Simple Internet = ![\frac{450,000 \times 1 \times 3.5}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B450%2C000%20%5Ctimes%201%20%5Ctimes%203.5%7D%7B100%7D)
Step-by-step explanation:
Here , Principal amount = $450,000
Time = 1 year
Rate of Interest = 3.5%
Now,SIMPLE INTEREST = ![\frac{P \times R \times T}{100}](https://tex.z-dn.net/?f=%5Cfrac%7BP%20%5Ctimes%20R%20%5Ctimes%20T%7D%7B100%7D)
So, here SI = ![\frac{450,000 \times 1 \times 3.5}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B450%2C000%20%5Ctimes%201%20%5Ctimes%203.5%7D%7B100%7D)
Hence, the required equation for the amount of Simple Internet = ![\frac{450,000 \times 1 \times 3.5}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B450%2C000%20%5Ctimes%201%20%5Ctimes%203.5%7D%7B100%7D)
![y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0](https://tex.z-dn.net/?f=y%3D2x%5E2%2B8x-9%5C%5CD%3Db%5E2-4ac%5C%5CD%3D64-4%282%29%28-9%29%5C%5CD%3D64%2B72%20%3E%200)
There are 2 roots so the only way to complete the square is,
![y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17](https://tex.z-dn.net/?f=y%3D2x%5E2%2B8x-9%5C%5Cy%3D2%5B%28x%5E2%2B4x%29%5D-9%5C%5Cy%3D2%5B%28x%5E2%2B4x%2B4%29-4%5D-9%5C%5Cy%3D2%5B%28x%2B2%29%5E2-4%5D-9%5C%5Cy%3D2%28x%2B2%29%5E2-8-9%5C%5Cy%3D2%28x%2B2%29%5E2-17)
Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.
then complete the square and multiply 2 inside the brackets.
subtraction as you already get the vertex form and know how to complete the square.
Vertex Form: ![y=2(x+2)^2-17](https://tex.z-dn.net/?f=y%3D2%28x%2B2%29%5E2-17)