Step-by-step explanation:
let the eqn be y = mx + b.
m = 200/(900 - 700) = 1
sub (700, 0):
0 = 700 + b
b = -700
therefore eqn is y = x - 700
Topic: coordinate geometry
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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 volume of the triangular pyramid is (1/3) of the volume of the triangular prism
Step-by-step explanation:
Volume formulas:
Triangular Pyramid Volume = T = (1/3)*h * (base area)
Triangular Prism Volume = P = h * (base area)
P = 3 * T
and T = (1/3)* P
Volume= 611 yd^3
Explanation=
V=L*W*H/3
V=10*13*14.1/3
V=611
