2 years ago

10. A line passes through the points (-3,8) and

Mathematics

1 answer:

Vilka [71]2 years ago

6 0

Answer:

a.-3

b. y=-3x-1

c. y=-3x-1

d. 3x+y=-1

Step-by-step explanation:

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25x^2+9y^2+72y-81=0. Find the standard form of the equation by completing the square. Then identify and graph each conic.

olasank [31]

25x² + 9y² + 72y - 81 = 0
 25x² + 9y² + 72y - 81 + 81 = 0 + 81
 25x² + 9y² + 72y = 81
 25x² + 9(y² + 8y + 16) = 81 + 9(16)
 25x² + 9(y² + 4y + 4y + 16) = 81 + 144
 25x² + 9(y(y) + 4(y) + 4(y) + 4(4)) = 225
 25x² + 9(y(y + 4) + 4(y + 4)) = 225
 25x² + 9(y + 4)(y + 4) = 225
 25x² + 9(y + 4)² = 225
 225 225 225
 x² + 9(y + 4)² = 1
 25 25

The conic section is an ellipse.

8 0

2 years ago

If the original quantity is 14 in the new quantity is 24 estimate the percent change

denis23 [38]

Answer:

$\% \: change = \frac{(24 - 14)}{14} \times 100 \\ = \frac{10 \times 100}{14} \\ = \frac{1000}{14} \\ = 71.43\%$

<h2>Percentage change is 71.43%.</h2>