Answer:
5x -7y = 21
Step-by-step explanation:
A sketch can convince you that BC is a transversal perpendicular to parallel lines AB and CD. The question asks for an equation for CD, so we just need to write the equation of a line through D that is parallel to AB.
One way to do this is to equate the slopes of the parallel lines:
∆y/∆x for AB = ∆y/∆x for CD
(y2 -y1)/(x2 -x1) = (y -2)/(x -7) . . . . . . where (x1, y1) = A; (x2, y2) = B; (7, 2) = D
(4 -(-1))/(1 -(-6)) = (y -2)/(x -7)
5(x -7) = 7(y -2) . . . . . . . . . . . . . cross multiply
5x -7y = 21 . . . . . . . . . . . . . . . . add 35 -7y, simplify
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Note that the graph shows the line CD is named "b", and its equation is shown at upper left. Multiplying that equation by -1 gives the one shown here.
Answer:
d=3 and e=-1
Step-by-step explanation:
d+e=2
d=2-e-----(1)
d-e=4-----(2)
substituting (1) in (2)
2-e-e=4
-2e=2
e=-1-----(3)
substituting (3) in (1)
d=2-(-1)
d=3
Whereas the density of the hemisphere at any point is proportional to it's density, then
The full answer in attachment, we use the partial integral using the <span>spherical coordinates,
and we find that </span>the mass of h = <span>πK/2</span>
Answer:
400 ways
Step-by-step explanation:
Times 10 x 10 x 2 x 2 to get your answer
Answer:
225
Step-by-step explanation:
We're told that each carton holds two dozen eggs, or 24 eggs. To find out how many cartons the farm will need, we divide the total amount of eggs by the amount of eggs that fit in each carton. So:
Since the number is a decimal, you need to round up to make sure every egg is in a carton. So, your answer is 225.
