Answer:
<h2>x= 37/16</h2><h3>
y=199/8</h3>
Step-by-step explanation:
1....y=11+6x
-77-2x+3y=-7
replace y by ..1..
so -77-2x+3(11+6x)=-7
-77-2x+33+18x=-7
-44+16x=-7
16x=37
y=11+6x
replace x by 37/16
y=11+6*37/16
y=199/8
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:
General Patton
Step-by-step explanation:
He kicked Rommel into next year. Simple as that.
The answer is 1:3. You have to divide by the greatest number possible. In this case it is 2. So you divide 2 by 2, and 6 by 2.
The answer is A:
Because the only difference between the rest of the answer choices are the lower and upper quartiles, that is all you need to find. In order to do so you find the median for the first half (lower quartile) and then find the median for the second half. In this case it is 29 (Q1) and 58 (Q2)
