1/3 rise=1 run=2. Therefore the answer is 1/3
Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
Answer:
201.06 square inches.
Step-by-step explanation:
The equation to use to find the Area of a circle is given as
πr²
Where r = radius of the circle
In the question, we are given the radius of the circle = 8 inches
Area of the circle = π × 8²
= 201.06 square inches.
Answer:

Step-by-step explanation:

Adding 9x & 3x gives 12x.

Now taking 4 common from both the terms , we get :-

Answer:
Yes
Step-by-step explanation:
Given that Machine M, working alone at its constant rate, produces x widgets every 4 minutes. Machine N, working alone at its constant rate, produces y widgets every 5 minutes.
When both machines work for 20 minutes
Machine A would produce =
widget and
Machine B would produce =
widgets
So we can say that Machine A would produce more widgets than Machine N at that time.
Answer is Yes