1. Start with y=sx+m and input the slope of the line given, because the two lines are parallel they have the same slope. Then input the X and Y coordinates of point X to get 10=-1/2-5+m and finally solve the equation to get m=-7.5 or -15/2 making slope intercept form Y=-1/2-5-15/2
2. Follow the same instructions imputing 1/2 in as the slope because it is perpendicular to the line. so you get 10=1/2-5+m. solve to get m=7.5 or 15/2 making the final equation Y=1/2X+15/2
Answer:
There are 3027 chairs
Step-by-step explanation:
There are 2925 chairs in the theater and 102 chairs in the balcony
all together are 3027
The position of the figure changes because you are translating it. Meaning that you are moving it.
If the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.
Given that the faster car is travelling 20 mph faster than slower car and when slower car travels 165 miles the faster car travels 225 miles.
We are required to find the speed of slower car and faster car.
let the speed of slower car be x mph.
In this way the speed of faster car be (x+20) mph.
Speed=Distance/ time
We have to first take slower car.
x=165/Time
Time=165/x-----------1
Now by taking faster car.
x+20=225/time
Time=225/(x+20)-------2
From equation 1 an equation 2.
165/x=225/(x+20)
225x=165x+3300
225x-165x=3300
60x=3300
x=55 mph
Faster car=55+20
=75 mph.
Hence if the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.
Learn more about speed at brainly.com/question/4931057
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Answer:
72%
Step-by-step explanation:
we have
150 households
108 had high-speed internet access.
to get the percentage we have to do the 108 divided 150
108/150
then we multiply it by 100
(108/150) = 0.72
0.72 * 100 = 72%
