Answer:
j= -4,6
Step-by-step explanation:
j^2 -2j -24 =0
Factor
What 2 numbers multiply to -24 and add to -2
-6*4 = -24
-6+4 = -2
(j-6) (j+4) =0
Using the zero product property
j-6 =0 j+4 =0
j =6 j=-4
Answer:
Step-by-step explanation:
First off, I'm assuming that when you said "directrices" you mean the oblique asymptotes, since hyperbolas do not have directrices they have oblique asymptotes.
If we plot the asymptotes and the foci, we see that where the asymptotes cross is at the origin. This means that the center of the hyperbola is (0, 0), which is important to know.
After we plot the foci, we see that they are one the y-axis, which is a vertical axis, which means that the hyperbola opens up and down instead of sideways. Knowing those 2 characteristics, we can determine that the equation we are trying to fill in has the standard form
We know h and k from the center, now we need to find a and b. Those values can be found from the asymptotes. The asymptotes have the standard form
y = ±
Filling in our asymptotes as they were given to us:
y = ±
where a is 2 and b is 1. Now we can write the formula for the hyperbola!:
which of course simplifies to
Answer:
A perpendicular bisector is a perpendicular line that divides a line into two equal halves
step by step:
To apply the Perpendicular Bisector Theorem, the land surveyor will need to identify; the midpoint along the line connecting the two stakes
The reason why the surveyor needs to identify the midpoint is as follows:
According to the Perpendicular Bisector Theorem, all points on the perpendicular bisector of a line are of equal distance from the line's endpoint
In order to apply the perpendicular bisector, the surveyor would need to identify the midpoint from which the third stake can be placed 100 ft. along a perpendicular bisector drawn from the midpoint
Therefore, the surveyor needs to identify; the midpoint along the line connecting the two stakes
uhhhh
Answer:
4520
Step-by-step explanation:
v= pi^2r times h/3
3.14 times 144
452.16 times 10
which is 4521.6
this is closest to 4520
hope this helps
