Answer:
4y = x - 17
Step-by-step explanation:
First off, in the equation given : 2x + 5y = 6 , make y the subject of the formula which will give y = 
+ 
which make the gradient, m, the coefficient of x = 
. Since the line we're looking for is parallel to the one we were given, their respective gradients would be the same. (If they were perpendicular, the gradient of the new line would be a negative inverse of the given line)
Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)
y - 3 = 
(x - 5); y - 3 = 
- 
; y = - +3
y = - 
; y = 
; 4y = x - 17
The unit rate of speed is 52.5 miles per hour
<em><u>Solution:</u></em>
Given that On a trip to visit relatives you drive 1,115.625 miles over the course of 21 hours and 15 minutes
We know that, 1 hour = 60 minutes
21 hours and 15 minutes = 21 hours + (15/60) hours = 21 + 0.25 = 21.25 hours
So they drive 1115.625 miles in 21.25 hours
To find the unit rate of speed of your vehicle in miles per hour, divide the total miles by time taken
unit rate of speed means miles driven in 1 hour
So the unit rate of speed is 52.5 miles per hour
Well, 2/4 is equivalent to 4/8. So you can turn the 2/4 into 4/8 and then add 4/8 plus 3/8.
Answer:
Step-by-step explanation:
(0, 10) (5, 0)
(0 - 10)/(5 - 0) = -10/5= -2
Using proportions, it is found that the coordinates of point P are given as follows: (2,10).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The segment is partitioned by point P according to the ratio of 3:4, hence:
This proportion is applied for both coordinates, hence, for the x-coordinate:
x - 2 = 0
x = 2.
For the y-coordinate:
y - 4 = 6
y = 10.
Hence the coordinates are (2,10).
More can be learned about proportions at brainly.com/question/24372153
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