Answer:
Equation of the parabola: 12y−72=(x−4)212y−72=(x−4)2 or y=x212−2x3+223y=x212−2x3+223.
Vertex form: y=(x−4)212+6y=(x−4)212+6.
No intercept form.
Vertex: (4,6)(4,6).
Focus: (4,9)(4,9).
Eccentricity: 11.
Directrix: y=3y=3.
Latus rectum: y=9y=9.
The length of the latus rectum: 1212.
Axis of symmetry:
Step-by-step explanation:
from parabola calculator-eMathHelp
I hope it helps.
Answer:
C
Step-by-step explanation:
Perpendicular lines have the exact opposite slope of the other equation.
So the slope will be x or 1x. Plug in
-8 = 1(4) + b (b represents y-intercept) like y=mx+b
-8 = 4 + b (subtract 4 on both sides)
-12 = b
The equation is y = x - 12
C
solve
y + 8 = x - 4 (subtract 8 on both sides)
y = x - 12
In statistics, thre are basically two types of data: qualitative and quantitative data
<span>Qualitative data is information about qualities; information that can't actually be measured. While quantitative data are data that can be measured.
Therefore, the </span><span>name is given to the type of data that is descriptive rather than numerical</span> is qualitativre data.
Answer:
The expression 7x represents the height of the container.
Step-by-step explanation:
From the question:
We are being informed that; if the length of the container is half of a foot longer than its width.
Let the width be x;
Then the length of the container can now be ; x+1/2
We all known that the volume of a rectangular prism is : V= l×w×h
here;
l = length
w = width
h = height
If we rewrite the given expression :
;
Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.
i.e

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.