(x-p)(x-q)
y(x-q) .... let y = x-p
yx - yq ... distribute
x(y) - q(y)
x(x-p) - q(x-p) ... replace y with x-p
x^2 - px - qx + pq .... distribute
x^2 + (-p-q)x + pq
The last expression is in the form ax^2+bx+c with a = 1, b = -p-q and c = pq
The constant term is the term without any variable x attached to it (either x or x^2), so the constant term is pq
9514 1404 393
Answer:
PJ ⊥ KP
Step-by-step explanation:
The little square corner at point P is the mark that indicates lines are perpendicular.
That is the only on mark indicating perpendicular in this diagram. It shows line KI to be perpendicular to line MJ. Then all of the segments on one of those lines are perpendicular to any of the segments on the other of those two lines.
Just to make sure we don't get in trouble with interpretation, we should probably include point P in any segments we list.
MJ ⊥ KI
OJ ⊥ KI
MP ⊥ KI
OP ⊥ KI
PJ ⊥ KI
In any of the above, KI can be replaced by KP or PI and the statement will remain true.
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<em>Additional comment</em>
Segment NI, being parallel to OP, is also perpendicular to KI. However, it is not marked as such.
MO is perpendicular to PI, but isn't really marked as such.
9514 1404 393
Answer:
- area: 49/2x^2 +21x +9/2
- for x=11: 3200 ft^2
Step-by-step explanation:
The area is given by the formula in the problem statement:
A = 1/2bh
A = 1/2(7x +3)(7x +3) = 1/2(49x^2 +42x +9)
The area is (49/2)x^2 +21x +9/2 . . . square feet.
__
When x=11, the area is ...
A = (1/2)(7·11 +3)^2 = 1/2(80^2) = 3200 . . . . square feet
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<em>Comment on the problem statement</em>
Area is measured in square feet, not cubic feet.
Answer:
gracias por los puntos xd
Answer:
It will take ≈5 hours (5.278)
Step-by-step explanation:
First we need to find how many number she counts in one hour. We know she counts 60 every one minute and there are 60 minutes in an hour. 60x60=3600
Now we divide 19,000 by 3600 to find how many hours it will take
19000/3600=5.278
It will take ≈5 hours (5.278)
