3 years ago

How many cartwheels can Suzy do? :)

Mathematics

2 answers:

vazorg [7]3 years ago

8 0

Answer:

Step-by-step explanation:

Y_Kistochka [10]3 years ago

4 0

Answer:

100 :)

Step-by-step explanation:

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the eccentricity of a hyperbola is defined as e=c/a. find an equation with vertices (1,-3) and (-3,-3) and e=5/2

Ksivusya [100]

Answer:

$\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1$ .

Step-by-step explanation:

If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is $\frac{(x - \alpha )^{2} }{a^{2} } - \frac{(y - \beta )^{2} }{b^{2} } = 1$ .

Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)

Hence, β = - 3 and α + a = 1 and α - a = -3

Now, solving those two equations of α and a we get,

2α = - 2, ⇒ α = -1 and

a = 1 - α = 2.

Now, eccentricity of the hyperbola is given by $b^{2} = a^{2}(e^{2} - 1) = 4[(\frac{5}{2} )^{2} -1] = 21$ {Since $e = \frac{5}{2}$ given}

Therefore, the equation of the given hyperbola will be

$\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1$ . (Answer)

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2 years ago

a single carton of juice cost $4.20. A special offer pack of 3 cartons cost $9.45. Jace bought a special offer instead of 3 sing

Ostrovityanka [42]

The 3 pack cost $9.45

3 single cartons would have cost: 3 x 4.20 = $12.60

Difference in cost: 12.60 - 9.45 = $3.15

Percent savings : 3.15/ 9.45 = 0.3333

0.333 x 109 = 33.33%

Round the answer as needed

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2 years ago

What is the ratio of 18-29

ANEK [815]

62.069% is what i thank it is

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2 years ago

WCLN PCMath1l - Rev. Sept/2018

Verdich [7]

Answer:

$\frac{p + 1}{p - 8}$

Step-by-step explanation:

$The \: slope: \frac{2p + 1 - p}{p - 5 - 3} = \frac{p + 1}{p - 8}$

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3 years ago

Given the relation A = {(5,2), (7,4), (9,10), (x, 5)}. Which of the following values for x will make relation A a function?

bija089 [108]

It will be the first one 9

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3 years ago