Answer:
1.y=3x+1
2.y=1/3x+2
3.y=-2x+5
4.y=4x
5.y=4x-4
6.y=-2x-5
Step-by-step explanation:
(i)
y=mx+c
10=(m)3+1
10=3m+1
10-1=3m
m =3
y=3x+1
And so on...
Both angles have to be 90 so if you find the value for x for one you get the other one ahmatically answer is 22 btw :)
Answer:
135
Step-by-step explanation:
First, divide.
18 ÷ 4 = 4.5
Then, multiply.
4.5 × 30 = 135
Have a great day!
Answer:
3,400
Step-by-step explanation:
![\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ %The volume of two spheres are 327\pi in^{3} and 8829\pi in^{3} \cfrac{small}{large}\qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{s}{s}=\cfrac{\sqrt[3]{327}}{\sqrt[3]{8829}}\qquad \begin{cases} 8829=3\cdot 3\cdot 3\cdot 327\\ \qquad 3^3\cdot 327 \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B%5Ctextit%7Bsimilar%20shape%7D%7D%7B%5Ctextit%7Bsimilar%20shape%7D%7D%5Cqquad%20%5Ccfrac%7Bs%7D%7Bs%7D%3D%5Ccfrac%7B%5Csqrt%7Bs%5E2%7D%7D%7B%5Csqrt%7Bs%5E2%7D%7D%3D%5Ccfrac%7B%5Csqrt%5B3%5D%7Bs%5E3%7D%7D%7B%5Csqrt%5B3%5D%7Bs%5E3%7D%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0A%25The%20volume%20of%20two%20spheres%20are%20327%5Cpi%20in%5E%7B3%7D%20and%208829%5Cpi%20in%5E%7B3%7D%0A%5Ccfrac%7Bsmall%7D%7Blarge%7D%5Cqquad%20%5Ccfrac%7Bs%7D%7Bs%7D%3D%5Ccfrac%7B%5Csqrt%5B3%5D%7Bs%5E3%7D%7D%7B%5Csqrt%5B3%5D%7Bs%5E3%7D%7D%5Cimplies%20%5Ccfrac%7Bs%7D%7Bs%7D%3D%5Ccfrac%7B%5Csqrt%5B3%5D%7B327%7D%7D%7B%5Csqrt%5B3%5D%7B8829%7D%7D%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0A8829%3D3%5Ccdot%203%5Ccdot%203%5Ccdot%20327%5C%5C%0A%5Cqquad%203%5E3%5Ccdot%20327%0A%5Cend%7Bcases%7D)
![\bf \cfrac{s}{s}=\cfrac{\sqrt[3]{327}}{\sqrt[3]{3^3\cdot 327}}\implies \cfrac{s}{s}=\cfrac{\underline{\sqrt[3]{327}}}{3\underline{\sqrt[3]{327}}}\implies \cfrac{s}{s}=\cfrac{1}{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Bs%7D%7Bs%7D%3D%5Ccfrac%7B%5Csqrt%5B3%5D%7B327%7D%7D%7B%5Csqrt%5B3%5D%7B3%5E3%5Ccdot%20327%7D%7D%5Cimplies%20%5Ccfrac%7Bs%7D%7Bs%7D%3D%5Ccfrac%7B%5Cunderline%7B%5Csqrt%5B3%5D%7B327%7D%7D%7D%7B3%5Cunderline%7B%5Csqrt%5B3%5D%7B327%7D%7D%7D%5Cimplies%20%5Ccfrac%7Bs%7D%7Bs%7D%3D%5Ccfrac%7B1%7D%7B3%7D)