Answer:
The slope of NP is
⇒ B
Step-by-step explanation:
- In any square, every two opposite sides are parallel and every two consecutive sides are perpendicular
- Parallel lines have the same slope
- The product of the slopes of the perpendicular lines is -1, which means if the slope of one m, then the slope of the other is
(reciprocal m and change its sign)
- The rule of the slope of the line which passes through the points (x1, y1) and (x2, y2) is m =

In square MNPR
∵ MN and NP are adjacent sides
∴ MN ⊥ NP
∵ M = (3, 8) and N = (-2, 1)
∴ x1 = 3 and y1 = 8
∴ x2 = -2 and y2 = 1
→ Use the rule of the slope above to find the slope of MN
∴ m(MN) = 
∴ m(MN) = 
∴ m(MN) = 
∵ MN ⊥ NP
∴ The product of their slopes = -1
→ Reciprocal the slope of MN and change its sign
∴ m(NP) = 
∴ The slope of NP is
Answer:
GOOBA stream now on all platforms
Step-by-step explanation:
August 8 is Day 15 and falls under the 1% discount rule.
750/0.99 = 757.58 from the balance, and 1400.00 - 757.58 = 642.42 is due by day 60.
Answer:
10
Step-by-step explanation:
m = least prime number = 2
n = least positive integer multiple of 12 = 12
n - m = 12 - 2 = 10
Answer:
<em>r=3x</em>
Step-by-step explanation:
<u>The Volume of a Cone</u>
The volume of a cone of radius r and height h is:

We are given the volume of a cone is

Equating:

Multiplying by 3:

Simplifying by pi:

Since h=x:

Dividing by x:

Taking square roots:

Thus: r=3x