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
3 meters below sea level represents a -3
From -3 to 0 is 3
3 + 5 above sea level = 8 meters
There are 8 meters between the house and the school
Answer:
(x - 2)(x² + 2x + 4)
Step-by-step explanation:
A difference of cubes factors in general as
• a³ - b³ = (a - b)(a² + ab + b² )
note 8 = 2³ = 8 ⇒ b = 2 , with a = x
Hence
x³ - 8
= x³ - 2³
= (x - 2)(x² + 2x + 2²) = (x - 2)(x² + 2x + 4)
Answer: 90
Step-by-step explanation:
Answer: D and A, B and E, C and F
Step-by-step explanation: