Answer:
The correct answer is (d) 36 units.
Step-by-step explanation:
Just took the test on edge :)
The answer is the second one
If you want a fast explanation
You have to remember that the minus sign indicates which direction the hyperbole will follow, if the minus is on x, that indicates the hyperbole will be vertical, and if the minus is in y, then it'll be horizontal
If you check the vertices points those indicates the length of 2a thus thatll be 6
To get the center just use middle point equation and you'll get (1,3)
Just to know, a indicates the distance from the center to the vertices, b indicates how wide the hyperbole box is, and c indicates the distance from center to focis
A=3
B=?
C=6
We use Pythagoras so

Thus you get

With that data now you can get the equation
You know that below (y-3)^2 there should be a^2 so that means there will be the 9
And in the (x-1)^2 there should be b^2 so that means there will be the 27
PD. The 3 besides y, and 1 besides x represent the center
Answer:
X = -2
Step-by-step explanation:
1/2 X (5X-8) = -9
multiply both sides of the equation by 2
2 X 1/2 X (5X - 8) = 2 X (-9)
1 X (5X - 8) = 2 X (-9)
Reduce the numbers with the greatest common divisor 2
5 x -8 = 2 x (-9)
5 x -8 = -18
Move constant to the right by adding its opposite to both sides
5X -8 + 8=-18 + 8
Then eliminate the opposites
5X = -18 + 8
Calculate the sum
5X = -10
Divide both sides of the equation by 5
5X DIVIDE 5 = -10 DIVIDE BY 5
X = -10 DIVIDE BY 5
X = -2
Answer:
B'(-7 , -2)
Step-by-step explanation:
First we must understand the coordinate-axis, when we want to move a point to the left or right we do it on the x-axis. to move up or down is on the y axis.
now if we move to the left we go to the negative and to the right the positive
as we are going to move to the left we have to subtract the value that he gave us (4) only to the part of x
B(-3 , -2)
-3 - 4 = -7
B'( -7 , -2)
Answer:
c = b / cos 45.
Step-by-step explanation:
cos 45 = b/c
c * cos 45 = b
c = b / cos 45.