Answer:
5
Step-by-step explanation:
We start by seeing how many families we have in total, which is 20. We then must subtract the number of families with girls only, the number of families with both boys and girls, and the number of families with no children. 20 - 7 is 13, then 13 - 8 is 5, and 5 - 0 is 5.
6y- 12x =24
6y= 24+12x
y=4+2x
Answer: 40
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Explanation:
The angle we want is QPR (bottom left), which is one of the base angles. The other base angle is QRP (bottom right). These two angles are equal because PQR is an isosceles triangle (PQ = RQ)
So if we can find angle QRP, then we have found angle QPR
Note how angle QRP and the 140 degree angle combine to form a straight 180 degree angle. Therefore these two angles add to 180 degrees
(angle QRP) + (140) = 180
(angle QRP) + 140 - 140 = 180-140 ... subtract 140 from both sides
angle QRP = 40
Since,
angle QPR = angle QRP
this means
angle QPR = 40
and
b = 40
Take 5 to the left:
(10×5)x = y
50x = y
Answer:
directrix: y = -1/2; focus = (0,1/2)
Step-by-step explanation:
rewrite in standard form:
2y = x^2
factor 4
4 * (y/2) = x^2
rewrite as
4 * 1/2 ( y - 0 ) = (x - 0 )^2
therefore
(h,k) = (0,0) , p = 1/2
directrix is line || to x-axis, distance - p from the center (0,0) y-coordinate (of the parabola)
y = 0 - p
y = 0 - 1/2
y = -1/2
now for the focus!
the focus is distance p from center (0,0) along y-axis --> (0, 0+p)
therefore
(0,0+1/2)
(0,1/2) is the focus!
