Find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ±1 divided by 3.x.
Answers
(h, k) is the center ... (0, 0)
a = distance from the center to the vertices along the transverse axis
b = distance from the center to the endpoints of the conjugate axis
c = distance from the center to the foci along the transverse axis
Given: a = 10
The relationship between a, b, and c is
10² + b² = c²
The slope of the asymptotes is ±5/4
a = is a multiple of 5
b = is a multiple of 4 ... be careful not to always assume that a=5 and b = 4.
For this problem a = 10
hence, b = 8
10² + 8² = c²
164 = c²
2√41 = c
Summary
center = (0, 0)
a² = 100
b² = 64
c² = 164
transverse axis x = 0
equation of the hyperbola
[y²/10²] - [x²/8²] = 1
Remember, the slope of the asymptotes tell you the ratio of a and b, and not necessarily the actual values of a and b.
I hope this helps!
Answer:
y^2/16 - x^2/36 = 1
Related Questions
What type of line is this?
Part H: Joe wants to buy a new pair of sneakers which cost $128.00,including tax.Write an inequality to show the minimum whole number of hours that Joe needs to work to be able to afford the sneakers.Explain how you wrote the inequality. Inequality= ' Part I:Graph the inequality from part H in a number line.
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WHOEVER IS RIGHT WILL GET BRAINLIST
200%
3313%
75%
Answers
The percent increase is basically the same as percent decrease except that you subtract the June count from the July count. If you let x be the June count and y be the July count, you can write it mathematically as follows:
Substitute.
The percent increase in people from June to July is 33.3333333%, which is not one of the options you put there.
Answer: 33 1/3
Step-by-step explanation:
For ttm i know it's right
Answers
Answers
In the afternoon, he typed 24 pages. (72/3=24)
In the evening, Evan typed the last 12 pages. ( 36+24=60 72-60=12)
Final answer:
Evan typed 36 pages in the morning, 24 in the afternoon, and midnight, totaling 72 pages for the day.
Explanation:
We need to apply fraction operations to find out how many pages Evan typed in the morning, the afternoon, and overall. He typed half of the pages in the morning, which is 72/2= 36 pages. He then typed one-third of the pages in the afternoon, 72/3= 24 pages.
To find out how many pages he typed in the evening, subtract what he typed in the morning and the afternoon from the total pages; 72 - 36 - 24 = 12 pages.
Therefore, Evan typed 36 pages in the morning, 24 in the afternoon, and 12 in the evening. Altogether, Evan typed a total of 72 pages that day.
Learn more about Fraction Operations here:
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At this pace, how long does it take Darrell to complete his project?
A. 15/32
minute
B. 2 2/15
minutes
C.
15 minutes
D.
30 minutes
Answers
1/8 × 8 = 1 project
1/8 x 8 = 3 3/4 × 8
1 project = 3 3/4 × 8 minutes
30 minutes
1 project = 30 mintues
The answer is D
Your answer is D. :D
Answers
Answers
Answer:
4x² + 20x - 2
Step-by-step explanation:
To evaluate (c ￮ d)(x), substitute x = d(x) into c(x)
c(x² + 5x)
= 4(x² + 5x) - 2
= 4x² + 20x - 2