Answer:
4399.98 ft per min
Step-by-step explanation:
- Divide 50 mi by 60 min = 0.83333
- Multiply this by 5280 = 4399.9824 ft per min
Answer:
<h3> ∠R = 69</h3>
Step-by-step explanation:
<h2>Angle sum property</h2>
Sum of all angles of triangle = 180
5x - 11 + 3x - 3 + 3x + 18 = 180
5x + 3x + 3x -11 - 3 + 18 = 180
Combine like terms
11x + 4 = 180
11x = 180 - 4
11x = 176
x = 176/11
x = 16
∠R = 5x - 11
= 5*16 - 11
= 80 - 11
= 69
Answer:
![x=\frac{(a^2+ab)}{a-b}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%28a%5E2%2Bab%29%7D%7Ba-b%7D)
Step-by-step explanation:
So we want to make x the subject of the formula:
![a(x-b)=a^2+bx](https://tex.z-dn.net/?f=a%28x-b%29%3Da%5E2%2Bbx)
First, distribute the left side:
![a(x)-a(b)=a^2+bx\\ax-ab=a^2+bx](https://tex.z-dn.net/?f=a%28x%29-a%28b%29%3Da%5E2%2Bbx%5C%5Cax-ab%3Da%5E2%2Bbx)
Combine all the terms with x with it on one side. To do this, first subtract bx from both sides. The right side cancels:
![(ax-ab)-bx=(a^2+bx)-bx\\ax-ab-bx=a^2](https://tex.z-dn.net/?f=%28ax-ab%29-bx%3D%28a%5E2%2Bbx%29-bx%5C%5Cax-ab-bx%3Da%5E2)
Remove the -ab from the left. Add ab to both sides. The left side cancels:
![(ax-ab-bx)+ab=a^2+ab\\ax-bx=a^2+ab](https://tex.z-dn.net/?f=%28ax-ab-bx%29%2Bab%3Da%5E2%2Bab%5C%5Cax-bx%3Da%5E2%2Bab)
Now, distribute out the x from the left side:
![ax-bx=a^2+ab\\x(a-b)=a^2+ab](https://tex.z-dn.net/?f=ax-bx%3Da%5E2%2Bab%5C%5Cx%28a-b%29%3Da%5E2%2Bab)
Divide both sides by (a-b). The left side cancels:
![\frac{(x(a-b))}{a-b}=\frac{(a^2+ab)}{a-b} \\x=\frac{(a^2+ab)}{a-b}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%28a-b%29%29%7D%7Ba-b%7D%3D%5Cfrac%7B%28a%5E2%2Bab%29%7D%7Ba-b%7D%20%20%5C%5Cx%3D%5Cfrac%7B%28a%5E2%2Bab%29%7D%7Ba-b%7D)
Therefore:
![x=\frac{(a^2+ab)}{a-b}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%28a%5E2%2Bab%29%7D%7Ba-b%7D)
Answer:
9-3x=0
Step-by-step explanation:
Add 3x to both sides
9=3x
divide both sides by 3
3=x
x=3
Answer:
the third one
Step-by-step explanation:
9 to the power of 4 is 9 multiplied by it's self 4 times