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Tpy6a [65]
4 years ago
8

4. Find the surface area of the space figure represented by the net.

Mathematics
1 answer:
Pavel [41]4 years ago
4 0
The correct answer is C. 20 characters
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Complete the standard form of the equation of a hyperbola that has vertices at (-10, -15) and (70, -15) and one of its foci at (
Elena L [17]

Answer:

\frac{(x-30)^{2}}{40^{2}} - \frac{(y+15)^{2}}{3^{2}} = 1

Step-by-step explanation:

The equation of the horizontal hyperbola in standard form is:

\frac{(x-k)^{2}}{a^{2}} - \frac{(y-k)^{2}}{b^{2}} = 1

The position of its center is:

C(x,y) = \left(\frac{-10 + 70}{2}, -15 \right)

C(x, y) = (30,-15)

The values for c and a are respectively:

a = 70 - 30

a = 40

c = 30 - (-11)

c = 41

The remaining variable is computed from the following Pythagorean identity:

c ^{2} = a^{2} + b^{2}

b = \sqrt{c^{2}-a^{2}}

b = \sqrt{41^{2}-40^{2}}

b = 3

Now, the equation of the hyperbola is:

\frac{(x-30)^{2}}{40^{2}} - \frac{(y+15)^{2}}{3^{2}} = 1

3 0
3 years ago
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This is the rest of those 2 step equations with fractions teacher didnt help and taking a test over this tomorrow. Please help a
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The answers to the questions

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3 years ago
Find the measure of the indicated angle to the nearest degree.
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3 years ago
Ughhhh helllppp? Thanks...
True [87]
Hello there! I can help you! So in this question, we are talking about an elephant eating 400 pounds each day. Knowing this can help us solve these questions:

a. So v represents number of pounds and d represents the number of days. We would write the equation as v = 400d, because you multiply the amount of days and pounds eaten per day to find the total amount of vegetation the animal has ate.

b. So given the equation, all we have to do is plug in a number for d and multiply to find v. Let's find the value for 3 days, starting with day 1. 400 * 1 is 400. 400 pounds eaten in day 1. 2 * 400 is 800. 800 total pounds eaten on day 2. 3 * 400 is 1,200. 1,200 total pounds eaten on day 3. With those numbers, your table should look like the one below if you do it correctly.

c. With that, your points should be placed at (1, 200), (2, 800), (3, 1,200). You can see that the line is constant, and that when you connect the dots, the line is straight. It is a linear equation, where the line is straight and the value is constant.

5 0
3 years ago
Please help ASAP!!!!!!!
Maslowich

Answer:

║≥,⊕⇆↑↑↑↑↑↑↑↑↑↑↑

Step-by-step explanation:

⇒ζΣ

8 0
3 years ago
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