Answer: -2x + 5y = 8
Step-by-step explanation:
Since the lines must be parallel, the slopes must be the same, so keep the coefficients of x and y
Substitute the values of x and y from the given coordinate (6,4) to find the new constant, b, the y-intercept.
-2x + 5y = b
-2(6) + 5(4) = b
-12 + 20 = b
8 = b
Rewrite the original equation substituting the new b for the original -15
-2x + 5y = 8
Answer:
There is 25 1/8 inches left
Step-by-step explanation:
We have a board that is 38 3/4 inches
We cut away 13 1/4
38 3/4
-13 1/4
-----------
25 2/4
The saw takes 3/8
25 2/4
- 3/8
-------------
Get a common denominator of 8 2/4 * 2/2 = 4/8
25 4/8
- 3/8
-------------
25 1/8
There is 25 1/8 inches left
The simplified solution to this equation is 5x - 115.
Distance of the person from the building (x)
tan 24 = 20/x => x = 20/tan 24 = 44.92 ft
The height of the building above the height of the person and the distance of the person from the building forms two legs of right angled triangle.
Therefore, if h is the height of the building, then;
tan 31 = (h-20)/44.92
h-20 = 44.92 tan 31
h = (44.92 tan 31) + 20 = 26.99 + 20 = 46.99 ft
