Answer: The equation of a line that is parallel to y=6x+7 and passes through (0,9) is y=6x+9.
Explanation:
The equation of given line is

The slope intercept form of a line is,

Where, m is slope and (0,b) is y intercept.
On comparing the given equation with slope intercept form we get,

The slope of the given line is 6.
Since the slope of parallel line are equal, therefore the slope of required line is 6.
The point slope form of a line.

The slope of required line is 6 and it passing through the point (0,9),


Therefore the equation of a line that is parallel to y=6x+7 and passes through (0,9) is y=6x+9.
Answer: 6.86 ft per second
Step-by-step explanation:
Both the top and the bottom of the ladder will be moving at the same time.
Given that the base of the ladder is pulled away from the wall at a rate of 2 feet per second when its base is 7 feet from the wall. Then the time will be
Speed = distance/time
2 = 7/t
t = 7/2 = 3.5 seconds
Using pythagorean theorem to get the length L of the wall
L^2 = 25^2 - 7^2
L = 24
The ladder will move down the length at the same time.
Rate = 24/3.5
Rate = 6.86 ft/s
Answer:
A. on edge 2020
Step-by-step explanation:
Answer:
PDR= 127
Step-by-step explanation:
<h3>
Answer: 50 mph</h3>
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Work Shown:
1/10 = 0.1
0.1 mile = 7.2 seconds
1 mile = 72 seconds (multiply both sides by 10)
1/72 mile = 1 second (divide both sides by 72)
3600/72 = 3600 seconds (multiply both sides by 3600)
50 miles = 3600 seconds
50 miles = 1 hour
The car's speed is 50 mph
Note: 1 hour = 60 min = 60*60 = 3600 seconds