Answer:
they both have 5 in common
if you were to reduce the fraction it would be 11/16 because
55 divided by 5 is 11 and 80 divided by 5 is 16
Step-by-step explanation:
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction(switch the numerator and the denominator))
For example:
Slope = 2 or 
Perpendicular line's slope =
(flip the sign from + to -, and flip the fraction)
Slope = 
Perpendicular line's slope =
(flip the sign from - to +, and flip the fraction)
y = 1/3x + 4 The slope is 1/3, so the perpendicular line's slope is
or -3.
Now that you know the slope, substitute/plug it into the equation:
y = mx + b
y = -3x + b To find b, plug in the point (1, 2) into the equation, then isolate/get the variable "b" by itself
2= -3(1) + b Add 3 on both sides to get "b" by itself
2 + 3 = -3 + 3 + b
5 = b
y = -3x + 5
14. the length of the arc is found by using the formula 2*PI*r*angle/360
the circle has a radius of 2 and the known angle is 90 degrees
so you now have: 2 * pi * 2 * 90/360, since the answer needs to be in terms of PI, remove pi from the equation for now:
2*2 *90/*360 = 1
the arc length = 1PI, or just PI
16. the area of the parallelogram is L x W : 9 *6 = 54
the area of the circle is: PI *r^2 = pi * 3^2 = 28.26
area of shaded region is subtracting the area of the circle from the parallelogram: 54 - 28.26 = 25.74 square inches