He equation of a parabola is x = -4(y-1)^2. What is the equation of the directrix?
<span>You may write the equation as </span>
<span>(y-1)^2 = (1) (x+4) </span>
<span>(y-k)^2 = 4p(x-h), where (h,k) is the vertex </span>
<span>4p=1 </span>
<span>p=1/4 </span>
<span>k=1 </span>
<span>h=-4 </span>
<span>The directrix is a vertical line x= h-p </span>
<span>x = -4-1/4 </span>
<span>x=-17/4 </span>
<span>------------------------------- </span>
<span>What is the focal length of the parabola with equation y - 4 = 1/8x^2 </span>
<span>(x-0)^2 = 8(y-4) </span>
<span>The vertex is (0,4) </span>
<span>4p=8 </span>
<span>p=2 (focal length) -- distance between vertex and the focus </span>
<span>------------------------------- </span>
<span>(y-0)^2 = (4/3) (x-7) </span>
<span>vertex = (7,0) </span>
<span>4p=4/3 </span>
<span>p=1/3 </span>
<span>focus : (h+p,k) </span>
<span>(7+1/3, 0)</span>
ANSWER
D. 4 minutes 40 seconds
EXPLANATION
The given data set showing the number of seconds of each song the playlist is:
283,204,198,229,173,230,168,236,215,204
Let the length of the 11th song be x.
Because he wants the mean to be 3 minutes 40 seconds, which is equal to 220 seconds, we write and solve the following equation for x.
We convert 280 seconds to minutes.
The correct choice is D
The percent that it rained in April would be 5.4%
Answer:
Volume of sphere = 200 in³
Step-by-step explanation:
Given:
Volume of cylinder = 150 in³
Height = Radius
Radius of cylinder = Radius of sphere
Find:
Volume of sphere = ?
Computation:
Volume of sphere = 200 in³
Step-by-step explanation:
Your assignment probably gave you numbers, like (3,4) or (-5,6). They are graphed on the graph. the first number is where the y axis is and the y axis goes _____ on the coordinate plane. Then he second number is the x axis and that goes up and down like an l. To figure out what the points are you go first in the hose and up the stairs. Put your finger on the dot and count the lines it takes DOWN or UP to get to the middle line. If you ad a negative number you count up to the middle line and positives you count down. Write that number down like this (your 1st number here, Now go back to your point and and count how many lines to get to the middle line that goes up and down otherwise known as your y axis. You either count left or right to get to this line. Count the line it takes to get to that centered line. If you have to count t the right to get this number, mark it as negative. If you count to the left its positive. Now you answer should look like this just replaced with numbers instead of words. (First number here, Second number here) Good luck on your assignment!
