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musickatia [10]
3 years ago
10

James has mapped his seat and his teacher's seat on the coordinate plane at (0,10) and (–4,6). Find the distance between their s

eats. A. 4√ 17 units B. 16 units C. 4√ 2 units D. 4 units
Mathematics
2 answers:
pshichka [43]3 years ago
8 0

Answer:

4√2 units (Answer C).

Step-by-step explanation:

Going from the seat at (-4,6) to the one at (0,10), x increases by 4 units and y increases by 4 units.  We need to use the distance formula to determine how far apart these seats are.

d = √(change in x)^2 + (change in y)^2 ).

That works out to:

d = √(4^2 + 4^2) = √(32) = 4√2 units (Answer C).

Dafna11 [192]3 years ago
6 0

Answer:

c

Step-by-step explanation:

4 Radical 2

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Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *
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Answer:

The answer to your question is   \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1          

Step-by-step explanation:

Data

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Process

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2.- Determine the foci axis (distance between the foci)

                  2c = 6

                    c = 6/2

                    c = 3

3.- Determine a

                  2a = 10

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                    a = 5

4.- Determine b using the Pythagorean theorem

                   a² = b² + c²

-Solve for b

                   b² = a² - c²

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5.- Find the center (1, 2)  From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

                      \frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1

                       \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1                

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