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:
The answer is 5/6.
Step-by-step explanation:
Lets start with a=1.
a+1=2, which is the denominator. (1/2)
Taking the same number as numerator, now, consider a=2.
a+1=3, denominator.(2/3)
Now, let a=3.
a+1==4, denominator for a=3. (3/4)
If continued a becomes equal to 4.
a+1=5, which is also the denominator. (4/5)
Now, since the denominator is 5, let a=5.
a+1=6, which will become the denominator. (5/6)
Thus the series follows a pattern of a/a+1.
Using the points where the blue line crosses the X and Y axis:
(0,5) ans (-1, 0)
The slope is the change in Y over the change in X:
0-5 / -1 - 0 = -5/-1 = 5
Slope = 5
Y intercept = y1 = 5
Equation = y = 5x+5
90 + 49 = 139
180 - 139 = 41
x = 41
Answer:
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