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2 years ago

A hyperbola centered at the origin has a vertex at (0, 36) and a focus at (0, 39).

2 answers:

4 0

To solve this problem you must apply the proccedure shown below:
1. You have that the hyperbola has a vertex at (0,36) and a focus at (0,39).
2. Therefore, the equation of the directrices is:

a=36
a^2=1296
c=39

y=a^2/c

3. When you susbtitute the values of a^2 and c into y=a^2/c, you obtain:

y=a^2/c
 y=1296/13

4. When you simplify:

y=432/13

Therefore, the answer is: y = ±432/13

Anit [1.1K]2 years ago

4 0

Answer:

The answer is D

Step-by-step explanation:

You might be interested in

Xis normally distributed with mean 1,000 and standard deviation 250. What is the probability that X lies between 800 and 1, 100?

Dominik [7]

Answer:

0.4435

Step-by-step explanation:

Given that :

X is normally distributed:

mean(m) = 1,000

standard deviation (s) = 250

probability that X lies between 800 and 1,100?

Using the relation :

X = 800

Zscore = (x - m) / s

Zscore = (800 - 1000) / 250

Zscore = - 200 / 250

Zscore = - 0.8

P(Z ≤ - 0.8) = 0.2119

X = 1100

Zscore = (x - m) / s

Zscore = (1100 - 1000) / 250

Zscore = 100 / 250

Zscore = 0.4

P(Z ≤ 0.4) = 0.6554

P(Z ≤ 0.4) - P(Z ≤ - 0.8)

0.6554 - 0.2119

= 0.4435

5 0

2 years ago

6.6.1. Rao (page 368, 1973) considers a problem in the estimation of linkages in genetics. McLachlan and Krishnan (1997) also di

ikadub [295]

Answer:

Step-by-step explanation:

find attached the solution

7 0

1 year ago

Part A: During what interval(s) of the domain is the water balloon's height increasing?

Advocard [28]

Answer:

The answer is below

Step-by-step explanation:

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.

Answer:

Part A: During what interval(s) of the domain is the water balloon's height increasing?

Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet

Part B: During what interval(s) of the domain is the water balloon's height staying the same?

Between 2 and 4 seconds, the height remains the same at 75 feet. Also from 10 seconds the height of the balloon is at 0 feet

Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest?

Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet (i.e. -17.5 ft/s)

Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet (i.e. -10 ft/s)

Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet (i.e. -10 ft/s)

Hence it decreases fastest from 4 to 6 seconds

Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds

From 10 seconds, the balloon is at the ground, so it remains at the ground (0 feet) even at 16 seconds

6 0

2 years ago

What can be concluded about the graphed polygon? mc013-1.jpg The polygon is a rectangle. Adjacent sides of the polygon are perpe

Usimov [2.4K]

From the given graph, the image is a trapezoid.
Therefore,
The first option, "the polygon is a rectangle" is incorrect.
The second option "Adjacent sides of the polygon are perpendicular." cannot be true as well because trapezoid has one the adjacent sides which is not perpendicular.
Third option" Opposite sides of the polygon are parallel", this can't be true as well because only two sides are parallel.
Fourth option " The slope of side c is 0.", this is true because line c is a horizontal line with zero rise and maximum run. Therefore,
Slope = 0 ÷ 9
 = 0

5 0

2 years ago

Read 2 more answers

If pq=9 and qr=28, find PR

Ksenya-84 [330]

PQ = 9
QR = 28

Note, there is a Q in each line

Combine the two lines: PQ + QR = PR

plug in the numbers to corresponding variables

9 + 28 = PR

PR = 37

hope this helps

8 0

2 years ago