The difference between 7 and -15 the translation is
2 answers:
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Answer: The required width of the park is 3 miles.
Step-by-step explanation: Given that a 5 mile jogging path diagonal divides a rectangular park in half and the park is 4 miles long.
We are to find the width of the park.
As shown in the attached figure below, the diagonal BD divides the rectangle ABCD into two equal parts,
where length DA = 5 miles, BD = 4 miles and AB = width = ?
Since each angle of a rectangle is right-angle, so triangle ABD will be a right-angled triangle.
Using Pythagoras theorem in triangle ABD, we have
Thus, the required width of the park is 3 miles.
Answer:
y = -x + 9
Step-by-step explanation:
You are given (-5,14), (-2,11), (1,8), and (4,5). Your first objective is to find the slope.
Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains. Take any two points and plug it into this: .
i.e. (-2,11) and (4,5): which is
, or -1. Thus, the slope is -1.
We now have y = -1(x) + b, or just y = -x + b.
Next, find the y-intercept. Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0. We now know that the y-intercept is (0,y). To find the y-value, plug one of the coordinate pairs of choice into x and y.
i.e. (-5,14): 14 = (-1)(-5) + b
14 = 5 + b
14 - 5 = 5 + b - 5
9 = b
So, the y-intercept is (0,9).
Finally, the equation is:
y = -x + 9