X = -23 - 47
x = -70
-70 + 47 = -23
Answer:
Step-by-step explanation:
y=x²+7
vertex(0,7)
the length of latus rectum in a parabola equal to four times the focal length :
y=x²+7
focus X=-b/2a=0
focus Y=c- (b²-1)/4a=7+1/4=29/4
focus (0 , 29/4)
latus rectum is 29/4
(x-h)^2 = 4p (y-k) 4p is the length of the latus rectum with vertex(0,7)
(0-0)²=4p(29/4-7)
0=29p-28p=1p
the length of the latus rectum is 1
Answer:
P: 32
A: 48
Step-by-step explanation:
(4+(4*3))*2=32
4*(4*3)=48
I say it around 150 inches that what I think
Answer: Pink choice: y= -6x -2
Step-by-step explanation:
In order to be parallel, the slope must be the same. You find the slope as the number or fraction connected to x. <em>("co-efficient" of x in math talk)</em>
In the given equation, that is -6. (So that knocks out the first two choices)
The other thing to look at is the y-value of the given coordinate,(-1,4)
<em>(The y-value is the second number in the coordinate (x.y) is the pattern)</em>
and compare it to the the last number in the equations in the choices and Here the Yellow choice has y= -6x + 4 so this line can't pass through the coordinate given, because +4 in this equation is where the line crosses the y-axis. ("y-intercept" in math talk) So yellow choice is out!
The attachment shows what the graphs of the choices look like.
The black line is the correct answer. The given coordinate (-1,4) is the labeled red spot. The blue line is the given equation. (You can see where it "intercepts the y-axis on the +3) And the green line also has the -6 slope, but misses the point and intercepts the y-axis at 4.)
I hope the diagram and explanation helps you understand better. It can be confusing.