First, the equation needs to be put into slope-intercept form, which is y = -4/5x + 7/5. Then, you need to know what parallel and perpendicular lines are. REMEBER, parallel lines have the same slope, and perpendicular lines have slopes whose product equal -1. You just need to substitute. For the parallel line, -2 = -4/5(4) + b, and b = 6/5, so y = -4/5x + 6/5. For the perpendicular line, the slope is 5/4. Now substitute. -2 = 5/4(4) + b, and b = -7, so y = 5/4x -7.
Answer:
46.6
Step-by-step explanation:
Propane costs $3.50 per hundred pounds,
and there is a $6 monthly delivery fee.
A family has budgeted $85 for their propane this month.
Let 'x' hundreds of pounds can the family use without going over budget
Here family has budgeted $85 for their propane.
So the cost for Propane = $ 3.5x
One month delivery fee $6
Therefore cost + delivery charge not exceed $85
So 3.5x + 6 ≤ 85
3.5x=85-6 =79
x = 22.57
Therefore 22 hundreds of pounds can the family use without going over budget
Answer:
38°
Step-by-step explanation:
It's simple think of it like this: A right angle is exactly 90 degrees. Subtract the 90° and the 52° and you'll get your answer of 38° which is x°.
Hope this helped you out :)
Answer:
309in²
Step-by-step explanation:
Area of an octagon is expressed as;
A=2(1+√2)a²
a is the side length of the octagon
Given
a = 8
Substitute into the formula
A = 2(1+√2)(8)²
A = 2(1+√2)(64)
Expand
A = 2(64+64√2)
A = 128+128√2
A = 128+128(1.414)
A = 128+181.01
A = 309in²
Hence the area of the octagon is 309in²
