Answer: 90 and 110
Step-by-step explanation:
-1 = 3(5) + b
-1 = 15 + b
-16 = b
y = 3x -16
y - 5 = 3(x +1)
Answer:
Area = 3,656.6 m²
Step-by-step explanation:
Area enclosed by the track is composed of two semicircles and a rectangle.
Area = area of two semicircles + area of rectangle
= 2(½*πr²) + L*W
Where,
radius of semicircle (r) = ½of 40 m = 20 m
Length of rectangle (L) = 60 m
Width of rectangle (W) = 40 m
Plug in the values
Area = 2(½*π*20²) + 60*40
Area = 400π + 2,400
Area = 3,656.6 m² (aooroximated to nearest tenth)
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