Answer:
The answer is below
Step-by-step explanation:
A student on the cross- county team runs 30 minutes a day as a part of her training. Write an equation to describe the relationship between the distance she runs in miles, D, and her running speed, in miles per hour, when she runs at a constant speed of 5.4miles per hour for m minutes, and then at b miles per hour for n minutes
Solution:
Given that the student runs for a total of 30 minutes per day. He runs at 5.4 miles per hour for m minutes, and then at b miles per hour for n minutes.
Hence:
m + n = 30
60 minute = 1 hour. Therefore, m minute = m/60 hour, n minute = n/60 hour.
The distance traveled is the product the speed in miles per hour and the time taken to cover the distance. Distance = speed * time
The total distance ran (D) is:
D = 5.4(m/60) + b(n/60)
2x² + 5x = -2
or, 2x²+5x+2=0
or,2x²+4x+x+2=0
or,2x(x+2)+1(x+2)=0
or,(x+2)(2x+2)=0
Two values can be found:
(x+2)=0 (2x+1)=0
or,x= - 2 or,2x= -1
or, x= -1/2
Answer:
x = -23
x = -33
Step-by-step explanation:
-10(x+5) + 9x = -73
-10x - 50 + 9x = -73
x - 50 = - 73
x = -73 + 50
x = -23
-5(x + 8) + 2x = 59
-5x - 40 + 2x = 59
-3x - 40 = 59
-3x = 59 + 40
-3x = 99
x = 99/-3
x = -33
The slope is 4/6 because its going up by 4 over by 6 .hope this helps
They're vertical angles so equal to each other so do 2x+3=3x+7
2x+3=3x+7
-3 -3
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2x=3x+4
-3x -3x
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-x=4
divide both sides by -1
answer is
x=-4
if ur confused about any steps tell me and ill explain
