Rearrange slightly...
12xy-8y-9x+6 now factor 1st and 2nd pair of terms
4y(3x-2)-3(3x-2)
(4y-3)(3x-2)
First, let's re-arrange to slope-intercept form.
x + 8y = 27
Subtract 'x' to both sides:
8y = -x + 27
Divide 8 to both sides:
y = -1/8x + 3.375
So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.
So the slope of the perpendicular line will be 8.
Now we can plug this into point-slope form along with the point given.
y - y1 = m(x - x1)
y - 5 = 8(x + 5)
y - 5 = 8x + 40
y = 8x + 45
If you multiply 2x2 you get 4 and multiply another 2 which is 8. Two answers are 8 and 2x2x2.
Answer:
2 ( m + 2 m) = 36 is the required linear equation
Length of the rectangle is 12 ft and width = 6 ft
Step-by-step explanation:
Let the width of the rectangle = m ft.
So, the length of the rectangle = 2m ft.
Perimeter of rectangle = 36 ft
Now, PERIMETER OF THE RECTANGLE = 2(LENGTH + WIDTH)
⇒2 ( m + 2m) = 36
or, 2 x 3m = 36
⇒ 6m = 36 , or m = 36/6
⇒ m =6 ft
So, the Width of the rectangle; = m = 6 ft
and the Length of the rectangle = 2 m = 2 x 6 = 12 ft.
