Answer:
D.
Step-by-step explanation:
we are given
we can use standard equation of hyperbola
where
center=(h,k)
center at origin
so, h=0 and k=0
vertex is
we can use formula
vertices: (h, k + a)
we get
we can plug k=0
now, we can plug these values
now, we are given it passes through
so, we have
we can plug these values and then we can solve for b
and we get
we can solve for b
and we get
now, we can plug these values
we can simplify it
and we get
Answer:
36
Step-by-step explanation:
A metal rod is 3/4 meters long. It will be cut into pieces that are each 1/48 meters long. How many pieces will be made from the rod?
let n = number of pieces the rod would be cut into
the following equation can be used to represent the question
3/4 x 1/n = 1/48
divide both sides of the equation by 3/4
1/n = 1/48 ÷ 3/4
1/n = 1/48 x 4/3 = 1/36
n = 36 rods
Answer:
In the year 2000 the number of hazardous waste sites in state y was 21
Step-by-step explanation:
Let
x ----> the number of hazardous waste sites in state x in the year 2000
y ----> the number of hazardous waste sites in state y in the year 2000
we know that
----> equation A
----> equation B
Solve the system of equations by substitution
Substitute equation B in equation A
Solve for y
Adds 8 both sides
Divide by 2 both sides
therefore
In the year 2000 the number of hazardous waste sites in state y was 21