Answer:
Step-by-step explanation:
If you plot this point and the directrix on a coordinate plane, you can see that the directrix is 1/4 of a unit below the vertex. Since, by nature, a parabola opens in the direction opposite the directrix and "hugs" the focus, this is a positive x-squared parabola (meaning it opens upwards). The formula for this type of a parabola is, in vertex form,
where p is distance (in units) between the vertex and the directrix and h and k are the coordinates of the vertex. For us, p = .25, h = 7, and k = -6. Filling in our formula:
Simplify the left side to
which simplifies, in its entirety, to
Answer:
z = 36
Step-by-step explanation:
- Add nine to each side, so it now looks like this: z = 36
(x,y)
y=mx+b
m=slope
b=yintercept
slope=7/10
one point is (1,2) or x=1, then y=2
find b
y=7/10x+b
2=7/10(1)+b
2=7/10+b
minus 7/10 both sides
1 and 3/10=b
13/10=b
y=7/10x+13/10
input values for x and get values for y
one point is (0,13/10)
Answer:
Plant C is <u>0.64</u> times as tall as Plant B
Plant C is <u>2.4 inches</u> shorter than Plant B
Step-by-step explanation:
Plant B is 6 2/3 inches tall. Plant B is 20/3 inches tall.
Plant C 4 4/15 inches tall. Plant C is 64/15 inches tall.
a.) Plant C is shorter than Plant B 
= 0.64 times.
b.) Plant C is shorter than Plant B by = 
inches
$790 because it would be 79 times 10
