Answer:
14
Step-by-step explanation:
1/2x = 1/7x + 5
1/2x - 1/7x = 5
7/14x - 2/14x = 5
5/14x = 5
x = 5 * 14/5
x = 14
Answer:
1/7
Step-by-step explanation:
There is a 1/7 chance because out of all 7 letters and times you could have chosen a different letter, you chose x which occurs once in the problem.
Hope this helps!
answer:
90 degrees + 28 degrees= 118 degrees
180-118= Z is 62 degrees
13y-1 = 24 2x-7 = 39
+1 +1 +7 +7
13y = 25 2x = 46
/13 /13 /2 /2
y = 1.92 X = 23
The standard form of a quadratic equation is

, while the vertex form is:

, where (h, k) is the vertex of the parabola.
What we want is to write

as

First, we note that all the three terms have a factor of 3, so we factorize it and write:

.
Second, we notice that

are the terms produced by

, without the 9. So we can write:

, and substituting in

we have:
![\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11]](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20y%3D3%28x%5E2-6x-2%29%3D3%5B%28x-3%29%5E2-9-2%5D%3D3%5B%28x-3%29%5E2-11%5D)
.
Finally, distributing 3 over the two terms in the brackets we have:
![y=3[x-3]^2-33](https://tex.z-dn.net/?f=y%3D3%5Bx-3%5D%5E2-33)
.
Answer:
For any arbitrary 2x2 matrices

and

, only one choice of

exists to satisfy

, which is the identity matrix.
There is no other matrix that would work unless we place some more restrictions on

. One such restriction would be to ensure that

is not singular, or its determinant is non-zero. Then this matrix has an inverse, and taking

we'd get equality.