Answer:
50 units.
Step-by-step explanation:
It is given that HGJL is a parallelogram and diagonals intersect each other at point K.
We now that diagonals of parallelogram bisect each other. So,
Divide both sides by 2.
Now,
Diagonals of parallelogram bisect each other. So,
Therefore, the measure of GL is 50 units.
Answer:
(x²-10x+33)/(-8) = y
Step-by-step explanation:
The distance between any point on a parabola from both its focus and directrix are the same.
Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,
is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.
Equating the two equations given, we have
square both sides to get
(x-5)²+(y+3)²=(y-1)²
expand the y components
(x-5)² + y²+6y+9 = y²-2y+1
subtract y²+6y+9 from both sides
(x-5)² = -8y - 8
expand the x components
x²-10x+25 = -8y - 8
add 8 to both sides to isolate the -8y
x²-10x+33 = -8y
divide both sides by -8 to isolate y
(x²-10x+33)/(-8) = y
Answer: C) 62
Step-by-step explanation:
Total number of dots n=15 (odd)
Median = value denoted by middle number
i.e . Median =
i.e . Median =
i.e . Median =
i.e. Median= Value denoted by 8th dot = 62
Hence, the median of the data set. = 62
Hence, the correct option is C) 62.