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Helga [31]
3 years ago
11

A hyperbola centered at the origin has vertices at (0,±\sqrt(54) and foci at (0,±\sqrt(89)

Mathematics
1 answer:
mestny [16]3 years ago
3 0

answer:The equation has the form y2a2−x2b2=1 y 2 a 2 − x 2 b 2 = 1 , so the transverse axis lies on the y-axis. The hyperbola is centered at the origin, so the vertices serve as the y-intercepts of the graph. To find the vertices, set x=0 x = 0 , and solve for y y .

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4 years ago
Sandra normally takes 2 hours to drive from her house to her grandparents' house driving her usual speed. However, on one partic
Rudiy27

Answer:

Her usual driving speed is 38 miles per hour.

Step-by-step explanation:

We know that:

s = \frac{d}{t}

In which s is the speed, in miles per hour, d is the distance, in miles, and t is the time, in hours.

We have that:

At speed s, she takes two hours to drive. So

s = \frac{d}{2}

d = 2s

However, on one particular trip, after 40% of the drive, she had to reduce her speed by 30 miles per hour, driving at this slower speed for the rest of the trip. This particular trip took her 228 minutes.

228 minutes is 3.8 hours. So

0.4s + 0.6(s - 30) = \frac{d}{3.8}

So

3.8(0.4s + 0.6s - 18) = d

3.8s - 68.4 = 2s

1.8s = 68.4

s = 38

Her usual driving speed is 38 miles per hour.

3 0
3 years ago
How do you find the solution of this proportion?<br> 4/9 = m2-1/54 <br> m2 is m to the power of 2
andrew11 [14]
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3 years ago
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andrew11 [14]

Answer:

2. B

3. B

4. 2(7k+5h)

5. $325

Step-by-step explanation:

2) "X decreased by the sum of 2x + 5" Decreased means to be lowered, so that means this problem has subtraction in it. It also says x is being decreased BY the sum of 2x + 5 so that means 2x + 5 needs to be solved, which calls for parentheses. B best fits the description.

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5) You are given the hourly charge, which is $25. This means that they charge $25 per hour/for every hour. You want to find the cost for 13 hours, so you multiply the hourly charge by 13 hours. 25 x 13 = 325.

7 0
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