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3 years ago

13

alex has twice as much money as jennifer. jennifer has $6 less than Shannnon. Together they have $54. how much money does each h

ave?

1 answer:

Mnenie [13.5K]3 years ago

6 0

54-6=48/4=12 12 for jennifer+24 for Alex+18 for Shannon = 54

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Sauron [17]

Answer:

<em>The ladder touches the wall at 24 feet from the ground.</em>

Step-by-step explanation:

The wall of the building, the ground, and the ladder form a right triangle, whose longer side is the length of the ladder.

In any right triangle, we can apply Pythagora's theorem to find any missing side length.

The ladder is 26 feet in length, the distance from the bottom of the ladder and the building is 10 feet. Calling H to the distance above the ground where the ladder touches the wall, then:

$26^2=10^2+H^2$

Calculating:

$676=100+H^2$

Solving:

$H^2=676-100$

$H^2=576$

$H=\sqrt{576}$

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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4 years ago

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natita [175]

Answer:

a. a = 3, b = 2

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Step-by-step explanation:

7. a. The given equation of the ellipse is presented as follows;

4·x² + 9·y² - 16·x + 18·y - 11

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$\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1$

We can write;

4·x² - 16·x + 9·y² + 18·y - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) - 25 - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) = 25 + 11 = 36

4·(x - 2)² + 9·(y + 1)² = 36

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Eccentricity = √5/3

d. Please find attached the graph of the ellipse created with MS Excel

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