Answer:
Step-by-step explanation:
![\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%20-%202%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B3y%2B2%7D%7B2%7D)
Multiply the equation by 4
![4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}\\](https://tex.z-dn.net/?f=4%2A%5Cfrac%7B5x%20-%202%7D%7B4%7D%2B4%2A%5Cfrac%7B1%7D%7B2%7D%3D4%2A%5Cfrac%7B3y%2B2%7D%7B2%7D%5C%5C)
5x - 2 + 2 = 2*(3y + 2)
5x +0 = 2*3y + 2*2
5x = 6y + 4
5x - 6y = 4 --------------------(I)
![\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}\\](https://tex.z-dn.net/?f=%5Cfrac%7B7y%2B3%7D%7B3%7D%3D%5Cfrac%7Bx%7D%7B2%7D%2B%5Cfrac%7B7%7D%7B3%7D%5C%5C)
Multiply the equation by 6
![6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}\\](https://tex.z-dn.net/?f=6%2A%5Cfrac%7B7y%2B3%7D%7B3%7D%3D6%2A%5Cfrac%7Bx%7D%7B2%7D%2B6%2A%5Cfrac%7B7%7D%7B3%7D%5C%5C)
2*(7y + 3) = 3x + 2*7
14y + 6 = 3x + 14
14y = 3x + 14 - 6
14y = 3x + 8
-3x + 14y = 8 ------------------------(II)
Multiply equation (I) by 3 and equation (II) by 5 and then add
(I)*3 15x - 18y = 12
(II)*5 <u>-15x + 70y = 40</u> {Now add}
52y = 52
y = 52/52
y = 1
Substitute y =1 in equation (I)
5x - 6*1 = 4
5x - 6 = 4
5x = 4 +6
5x = 10
x = 10/5
x = 2
Answer:
y=-x+2
Step-by-step explanation:
its asking y=mx+b
m slope (rise/run) --> rises up 2 for every time it moves over -2 times
so slope is -1
b= y intercept = 2
The answer is 14137.17 because to find the volume of the sphere, the equation is 4/3 times pi times the radius cubed.
Answer:
![\large\boxed{a=4\sqrt3}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Ba%3D4%5Csqrt3%7D)
Step-by-step explanation:
We have the triangle 30° - 60° - 90°. In that triangle sides are in proportion
1 : √3 : 2 <em>(look at the picture).</em>
<em />
We have
<em>multiply both sides by √3 (use √a · √a = a)</em>
<em>divide both sides by 3</em>
![a=4\sqrt3](https://tex.z-dn.net/?f=a%3D4%5Csqrt3)
![b=2a\to b=2(4\sqrt3)=8\sqrt3](https://tex.z-dn.net/?f=b%3D2a%5Cto%20b%3D2%284%5Csqrt3%29%3D8%5Csqrt3)