Answer:
the factors of 16 are
1 * 16 = 16
2 * 8 = 16
4 * 4 = 16
Step-by-step explanation:
to find the factor pairs of a number you have to find the multiples of that number meaning what times what equals that number
formula for factor pairs: x * x = A
Answer:
1/6
Step-by-step explanation:
We are told that:
Ernesto used 2/3 of a cup of frosting to decorate some cupcakes.
He divided all the frosting equally among 4 cupcakes.
The amount of frosting Ernesto used on each cupcake is calculated as:
2/3 cup ÷ 4 cupcakes
= 2/3 × 1/4
= 2/12
= 1/6 of 2/3cup of frosting was used on each cupcake
The standard equation of a circle is
![\displaystyle{ (x-a)^2+(y-b)^2=r^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20%28x-a%29%5E2%2B%28y-b%29%5E2%3Dr%5E2)
,
where (a, b) is the center of the circle, and r is the radius.
So, if we write
![x^2 - 2x + y^2 - 8y + 1 = 0](https://tex.z-dn.net/?f=x%5E2%20-%202x%20%2B%20y%5E2%20-%208y%20%2B%201%20%3D%200)
in the above form, the center and the radius will be obvious to us.
Note that
![x^2-2x](https://tex.z-dn.net/?f=x%5E2-2x)
is very close to
![(x-1)^2=x^2-2x+1](https://tex.z-dn.net/?f=%28x-1%29%5E2%3Dx%5E2-2x%2B1)
except for the 1.
Similarly, we notice that
![y^2-8y](https://tex.z-dn.net/?f=y%5E2-8y)
is like
![(y-4)^2=x^2-8x+16](https://tex.z-dn.net/?f=%28y-4%29%5E2%3Dx%5E2-8x%2B16)
, without the 16.
So,
![x^2 - 2x + y^2 - 8y + 1 = 0\\\\(x^2 - 2x) + (y^2 - 8y) + 1 = 0\\\\(x^2 - 2x+1)-1 + (y^2 - 8y+16)-16 + 1 = 0\\\\(x-1)^2+(y-4)^2-16=0\\\\(x-1)^2+(y-4)^2=16=4^2](https://tex.z-dn.net/?f=x%5E2%20-%202x%20%2B%20y%5E2%20-%208y%20%2B%201%20%3D%200%5C%5C%5C%5C%28x%5E2%20-%202x%29%20%2B%20%28y%5E2%20-%208y%29%20%2B%201%20%3D%200%5C%5C%5C%5C%28x%5E2%20-%202x%2B1%29-1%20%2B%20%28y%5E2%20-%208y%2B16%29-16%20%2B%201%20%3D%200%5C%5C%5C%5C%28x-1%29%5E2%2B%28y-4%29%5E2-16%3D0%5C%5C%5C%5C%28x-1%29%5E2%2B%28y-4%29%5E2%3D16%3D4%5E2)
.
Answer:
20+15x 40+5x company b would be cheaper after 3 hours
Answer:
Step-by-step explanation:
2o4 because 431 minus 227 is 204