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3 years ago

Need help with this problem on homework

Mathematics

1 answer:

mylen [45]3 years ago

5 0

The answer is 2x - 2

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This hyperbola is centered at theorigin. Find its equation.Foci: (-2,0) and (2,0)Vertices: (-1,0) and (1,0)

beks73 [17]

SOLUTION

From the question, the center of the hyperbola is

$\begin{gathered} (h,k),\text{ which is } \\ (0,0) \end{gathered}$

a is the distance between the center to vertex, which is -1 or 1, and

c is the distance between the center to foci, which is -2 or 2.

b is given as

$\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}$

But equation of a hyperbola is given as

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

Substituting the values of a, b, h and k, we have

$\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}$

Hence the answer is

$\frac{x^2}{1}-\frac{y^2}{3}=1$

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1 year ago

Jim had one hour to get to the

k0ka [10]

Jim has 27.5 minutes left to get to the airport.

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3 years ago

Presley bought 3 1/2 yards of fabric for $15.25 how much did Presley pay per foot of fabric round to the nearest cent

Deffense [45]

Your answer would be about $1.45.

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3 years ago

Plz help! anybody. i'll mark brainliest 20 points!!!!

lisabon 2012 [21]

(1) Snow fall in last week = $3 \frac{1}{2}$ inches

Snow fall in today= $5 \frac{3}{4}$ inches

Let us first change mixed fraction to improper fraction.

$\begin{aligned}&3 \frac{1}{2}=\frac{7}{2}\\&5 \frac{3}{4}=\frac{23}{4}\end{aligned}$

Now, make the denominators same.

$3 \frac{1}{2}=\frac{7}{2}=\frac{7 \times 2}{2 \times 2}=\frac{14}{4}$ , $5 \frac{3}{4}=\frac{23}{4}$

Now, find the difference between 14/4 and 23/4.

$\frac{23}{4}-\frac{14}{4}=\frac{9}{4}=2 \frac{1}{4}$

So, compared to last week $2 \frac{1}{4}$ more inches of snow fell today.

(2) Given three times a number, minus nine, equals six times six, divided by four.

Let a number be X.

3X – 9 = 6 × 6/4

(3) To solve the equation:

3X – 9 = 6 × 6/4

3X – 9 = 36/4

3X – 9 = 9

3X = 18

X = 6

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3 years ago

Trey made pasta in the shape of a square. He draws two lines to cut the pasta into smaller pieces. Which have 12 sides and 12 ve

Aleks [24]

12*12 =24........................

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3 years ago

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