Answer: Longest side = 19 ft
Explanation:
We are given a triangular shaped with two equal sides.
Let length of equal side be x ft
Third side is 4 ft longer than equal side.
Third side = (x+4) ft
Three sides of triangular garden are x, x and x+4.
The perimeter of triangular garden is 49 ft.
Perimeter of triangle = Sum of all three sides
Perimeter of triangle = 49 ft
x+x+x+4=49
3x=49-4
3x=45
x=15 ft
Longest side = x+4 => 15+4
Longest side = 19 ft
Slope = (-5-1)/(7+1) = -6/8 = -3/4
Perpendicular slope = 4/3
Midpoint = ((-1+7)/2 , (1+(-5))/2) = (3, 3)
equation:
y = mx + c
y = 4/3 x + c
at point (3, 3)
3 = 4/3(3) + c
c = 3 - 4 = -1
y = 4/3 x - 1 or 3y = 4x - 3
Hi I need help with some questions I have on a quiz / test
<span>
A)
C(102) = 102^2 – 400 = 10004
</span>C(100) = 100^2 – 400 = 9600
average rate of change = (10004<span>- 9600)/(102 - 100) = 404/2 = 202
</span>B)
C' = 2x = 2 (100) = 200
a) What is the slope of the line parallel to it?
Parallel lines will never intersect, meaning they have equivalent slopes, so the answer to this part is -(6/5).
b) What is the slope of the line perpendicular to it?
Perpendicular lines will intersect, creating a 90-degree angle, meaning all values in the graphs have been flipped. Thus, the slope of any perpendicular line is the negative reciprocal of the given slope (-1/x). The negative reciprocal of -(6/5) is 5/6, so that is the answer.
