Answer:
![\displaystyle y=\frac{3x}{x-1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D%5Cfrac%7B3x%7D%7Bx-1%7D)
Step-by-step explanation:
<u>Solving Equations</u>
We have the expression:
![\displaystyle x=\frac{y}{y-3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7By%7D%7By-3%7D)
And it's required to make y the subject.
It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.
The first step is removing the denominator by multiplying both sides by y-3:
![\displaystyle (y-3)x=(y-3)\frac{y}{y-3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28y-3%29x%3D%28y-3%29%5Cfrac%7By%7D%7By-3%7D)
Simplifying the right side:
![\displaystyle (y-3)x=y](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28y-3%29x%3Dy)
Remove the parentheses:
![yx-3x=y](https://tex.z-dn.net/?f=yx-3x%3Dy)
Move the y's to the left side and the rest of the expression to the right side:
![yx-y=3x](https://tex.z-dn.net/?f=yx-y%3D3x)
Factor out y:
![y(x-1)=3x](https://tex.z-dn.net/?f=y%28x-1%29%3D3x)
Divide by x-1:
![\mathbf{\displaystyle y=\frac{3x}{x-1}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdisplaystyle%20y%3D%5Cfrac%7B3x%7D%7Bx-1%7D%7D)
Answer:
3. 60°
4. 378.542
Step-by-step explanation:
in the picture
Answer: 124
Explanation: 4[3(10-7)+(11•2)]
Parentheses - 4[3(3)+(22)]
Parentheses - 4(9+22)
Parentheses - 4(31)
Multiplication - 124
CDB is the smallest of the similar triangles. 169.
Answer:
0.71
Step-by-step explanation:
P( b or c) = P(b) + P(c) 0 P(b and c)
P(b) = 10/35 = 0.2857
P(c) = 15/35 = 0.42857142857
10/35 + 15/35 - 0 = 25/35, or 0.71