Answer: 12
Step-by-step explanation:
The equation of the line is y= 3 - 2x.
<h3>What is equation?</h3>
An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
Coordinates (0, 3) and (2, -1)
So,
slope = -4/2=-2
and equation of line is
(y- y1) = m (x- x1)
y-3 = (-2)(x-0)
y-3 = -2x
y= 3 - 2x
Hence, the equation of line is y= 3 - 2x.
Learn more about equation of line here:
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Answer:
x+ 3/2y= 15
Step-by-step explanation:
8x+12y=120
To put the equation into standard form, the leading coefficient has to be 1. So, divide the whole equation by 8.
x+ 3/2y= 15
Answer:
45 minutes
Step-by-step explanation:
At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...
t = d/s
t = (7.5 mi)/(10 mi/h) = 0.75 h
to catch Peter.
Mitchell will catch Peter in 45 minutes.
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<em>Alternate Solution</em>
Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:
3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter
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You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.
