First, plug in the given point into y=mx +b to find b (the y-intercept of the line). Use the same slope (m) in the equation since parallel lines have the same slope (3 in this case).
-1 = 3(4) +b
-1 = 12 + b Subtract 12 to both sides.
-13 = b
Now, put your m and b into y=mx+b.
The final answer/equation of your line is:
y=3x -13
8 because 24 divided by 3 is eight
Answer:
x=16
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(8+24) * 8 = x^2
32*8 = x^2
256 =x^2
Take the square root of each side
sqrt(256) = sqrt(x^2)
16 = x
Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
x^2 - 12x + 8x - 96 = 0
x(x - 12) +8(x - 12) = 0
(x - 12)(x + 8) = 0
As the value of length cannot be negative so
x - 12 = 0
x = 12
So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
= 12 - 4 feet
= 8 feet
Then
Perimeter of the yard = 2 (length + width)
= 2(12 + 8)
= 2 * 20 feet
= 40 feet.
So the perimeter of the yard is 40 feet.
