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!
Yes it would be something like 7x+3
Answer:
x=−1 and y=3 or (-1,3)
WORK:
Let's solve your system by substitution.
y=2x+5;y=−3x
Step: Solve y=2x+5 for y:
y=2x+5
Step: Substitute 2x+5 for y in y=−3x:
y=−3x
2x+5=−3x
2x+5+3x=−3x+3x (Add 3x to both sides)
5x+5=0
5x+5+−5=0+−5(Add -5 to both sides)
5x ÷ 5 = -5÷5 (divide both sides with 5)
x=−1
Step: Substitute −1 for x in y=2x+5:
y=2x+5
y=(2)(−1)+5
y=3(Simplify both sides of the equation)
Answer:
x=−1 and y=3
(Incase you needed to show your work)
Hope this helps :)
The only way to properly answer your question is with the image, but without it, I can still give you a guess of what it will be.
Generally, with these types of problems, the cyclist will begin riding at an increasingly fast pace, Then they will begin slowing down, so the line decreases. When he stops for water the line should remain constant. Meaning a straight horizontal line such as this ------------------
If you can include an image I can give you the exact answer you're looking for, however.
Answer:
8 , 6 , 12
Step-by-step explanation:
