I figured out the first question, the second one in lost on.
![\frac{(6-x)}{x^2+3x-28} / \frac{x^2-36}{x^2+5x-36}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%286-x%29%7D%7Bx%5E2%2B3x-28%7D%20%2F%20%5Cfrac%7Bx%5E2-36%7D%7Bx%5E2%2B5x-36%7D%20)
Factor both of the equations, numerator and denominator
![\frac{(6-x)}{(x+7)(x-4)}* \frac{(x+6)(x-6)}{(x+9)(x-4)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%286-x%29%7D%7B%28x%2B7%29%28x-4%29%7D%2A%20%20%5Cfrac%7B%28x%2B6%29%28x-6%29%7D%7B%28x%2B9%29%28x-4%29%7D%20)
Cancel the like factors *excuse the zero im just showing you*
![\frac{(0)}{(x+7)} *\frac{(x+6)}{(x-9)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%280%29%7D%7B%28x%2B7%29%7D%20%2A%5Cfrac%7B%28x%2B6%29%7D%7B%28x-9%29%7D%20)
Combine frunctions
![\frac{(6+x)}{(x-9)(x+7)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%286%2Bx%29%7D%7B%28x-9%29%28x%2B7%29%7D%20)
x-9=0
x+7=0
Restrictions are 9 and -7
Answer:
r = 28.28
Step-by-step explanation:
you already gave the equation: sin45°= 20/r
you wanna start by multiplying both sides by r. You do this so that your variable can be in the numerator and it will be easier to solve the equation:
r (sin45°) = 20
Now you divide both sides by sin45°, this will give you your final answer. For this, you have to put it in a calculator:
r = 28.28
P.S, good job on already knowing your equation... when i was learning this it took me a while to get eh hang of it :)
The answer is C. I got it right
The baby gains 3.25lbs in the last 4 months.
This problem can be solved by simple subtraction. Take the total amount and subtract the 4 month increments in order to find the find 4 months.
Total = 1st 4 months + 2nd 4 months + 3rd 4 months
11 = 4.25 + 3.5 + 3rd 4 months
11 = 7.75 + 3rd 4 months
3.25 = 3rd 4 months
Answer:
The correct option is B.
Step-by-step explanation:
It is given that Susan drove an average speed of 30 miles per hour for the first 30 miles of a trip & then at a average speed of 60 miles/hr for the remaining 30 miles of the trip.
![Time=\frac{Distance}{Speed}](https://tex.z-dn.net/?f=Time%3D%5Cfrac%7BDistance%7D%7BSpeed%7D)
Time taken by Susan in first 30 miles is
![T_1=\frac{30}{30}=1](https://tex.z-dn.net/?f=T_1%3D%5Cfrac%7B30%7D%7B30%7D%3D1)
Time taken by Susan in remaining 30 miles is
![T_2=\frac{30}{60}=0.5](https://tex.z-dn.net/?f=T_2%3D%5Cfrac%7B30%7D%7B60%7D%3D0.5)
Total distance covered by Susan is
![D=30+30=60](https://tex.z-dn.net/?f=D%3D30%2B30%3D60)
Total time taken by susan to complete 60 miles trip is
![T=T_1+T_2](https://tex.z-dn.net/?f=T%3DT_1%2BT_2)
![T=1+0.5=1.5](https://tex.z-dn.net/?f=T%3D1%2B0.5%3D1.5)
Susan's avg speed in miles/hr for the entire trip is
![S=\frac{60}{1.5}=40](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B60%7D%7B1.5%7D%3D40)
The average speed of susan for entire trip is 40. Therefore the correct option is B.