Write an equation for the line that is parallel to the given line and that passes through the given point.
2 answers:
Answer:
The correct option is B.
Step-by-step explanation:
The slope intercept form of a line is
where, m is slope and b is y-intercept.
The given equation is
It means the slope of the line is 5/2 and y-intercept is -10.
The slope of two parallel lines is same. So, the slope of required line is 5/2.
The equation of required line is
It is given that the line passes through the point (-6,-29).
The y-intercept of required line is -14. So the equation of required line is
Therefore the correct option is B.
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Answer:
The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>
Step-by-step explanation:
Given:
Initial depth of the scuba dive = 19 ft
Rate of descent = 25 ft/min
Maximum depth to be reached = 144 ft
Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.
Framing in equation form, we get:
Total depth = Initial Depth + Rate of descent × Time
Total depth =
Now, as per question, the total depth should not be more than 144 feet. So,
Solving the above inequality for time 't', we get:
Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.