Answer:
-53
/14
Step-by-step explanation:
Answer:
x²+3x+2
Step-by-step explanation:
First you distribute the x, and then the 2.
x²+x+2x+2=x²+3x+2
Answer:
h(n) = -2n -13
Step-by-step explanation:
m+1 = -2(n+6)
Distribute
m+1 = -2n-12
We want to solve for m, as we want a function of n
m +1-1 = -2n-12-1
m = -2n-13
h(n) = -2n -13
Answer:w40
Step-by-step explanation:
w15/w5 = w10
(w10)^4 = w40
Answer:
We want to estimate:
![\frac{\sqrt{8} }{2^2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B8%7D%20%7D%7B2%5E2%7D)
We can rewrite this as:
![\frac{\sqrt{8} }{2^2} = \frac{\sqrt{8} }{4} =\frac{\sqrt{8} }{\sqrt{4^2} } =\sqrt{\frac{8}{4*4} } = \sqrt{\frac{2}{4} } = \frac{1}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B8%7D%20%7D%7B2%5E2%7D%20%20%3D%20%5Cfrac%7B%5Csqrt%7B8%7D%20%7D%7B4%7D%20%20%3D%5Cfrac%7B%5Csqrt%7B8%7D%20%7D%7B%5Csqrt%7B4%5E2%7D%20%7D%20%3D%5Csqrt%7B%5Cfrac%7B8%7D%7B4%2A4%7D%20%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B2%7D%7B4%7D%20%7D%20%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D)
And √2 is a notable value, we know that:
√2 ≈ 1.41
Then:
![\frac{1}{\sqrt{2} } = \frac{1}{1.41} = 0.7](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%20%20%3D%20%5Cfrac%7B1%7D%7B1.41%7D%20%3D%200.7)
then:
![\frac{\sqrt{8} }{2^2} = 0.7](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B8%7D%20%7D%7B2%5E2%7D%20%3D%200.7)
is a really good estimation.
if instead:
"the square root of eight divided by two to the second power"
refers to:
![\sqrt{\frac{8}{2^2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B8%7D%7B2%5E2%7D%20%7D)
is easier, we just can replace 2^2 = 4, then we get:
![\sqrt{\frac{8}{2^2} } = \sqrt{\frac{8}{4} } = \sqrt{2} = 1.41](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B8%7D%7B2%5E2%7D%20%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B8%7D%7B4%7D%20%7D%20%3D%20%5Csqrt%7B2%7D%20%20%3D%201.41)
Is also a really good aproximation.