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First, our equation is:
x ![5 = 25/8.](https://tex.z-dn.net/?f=5%20%3D%2025%2F8.)
Our first step is to simplify.
When you simplify you get 3 1/8.
This is another way you can get it: (Multiply across. )
![5 = \frac{25}{8} = 3\frac{1}{8}](https://tex.z-dn.net/?f=5%20%3D%20%5Cfrac%7B25%7D%7B8%7D%20%3D%203%5Cfrac%7B1%7D%7B8%7D)
Enjoy your day.
Answer:
4.5 mph
Step-by-step explanation:
2 m/s = (2 m/s)(60)(60) = 7200 m/h or 7.2 km/hr
if 5 miles = 8 km, then 1 km = 0.625 miles
7.2 x 0.625 = 4.5 mph
Area of kite is equal to 1/2 the product of the lengths of the diagonals
so
A=1/2(AD)(BF)
BF=BG+GF=8+8=18
AD=AG+GD=7+13.5=20.5
A=1/2(20.5)(18)=(8)(20.5)=164
now minus the area of the square
area of square=side^2=(CE)^2=9^2=81
kite-square=164-81=83 square meters
Answer:
The coordinates of the science lab is:
x = -14/3 , y = 1
Step-by-step explanation:
∵ P is (-8 , -1) and Q is (2 , 5)
∵ The point of the science lab is (x , y)
∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)
∴ ![x=\frac{m_{1}x_{p}+m_{2}x_{q}}{m_{1}+m_{2}}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bm_%7B1%7Dx_%7Bp%7D%2Bm_%7B2%7Dx_%7Bq%7D%7D%7Bm_%7B1%7D%2Bm_%7B2%7D%7D)
∴ ![y=\frac{m_{1}y_{p}+m_{2}y_{q}}{m_{1}+m_{2}}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bm_%7B1%7Dy_%7Bp%7D%2Bm_%7B2%7Dy_%7Bq%7D%7D%7Bm_%7B1%7D%2Bm_%7B2%7D%7D)
∴ ![x=\frac{2(-8)+1(2)}{1+2}=\frac{-14}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%28-8%29%2B1%282%29%7D%7B1%2B2%7D%3D%5Cfrac%7B-14%7D%7B3%7D)
∴ ![y=\frac{2(-1)+1(5)}{2+1}=\frac{3}{3}=1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%28-1%29%2B1%285%29%7D%7B2%2B1%7D%3D%5Cfrac%7B3%7D%7B3%7D%3D1)
∴ The point of science lab = (-14/3 , 1)
Answer:
B
Step-by-step explanation:
x − 3 − 2(6 − 2x) = 2(2x − 5)