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monitta
3 years ago
9

Think About the Process The length of a rectangle is twice the width. The area of the rectangle is

Mathematics
1 answer:
ruslelena [56]3 years ago
4 0

Answer:

27

Step-by-step explanation:

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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

5 0
1 year ago
Solve <br><img src="https://tex.z-dn.net/?f=2x%20%2B%205%20%3D%2012" id="TexFormula1" title="2x + 5 = 12" alt="2x + 5 = 12" alig
VMariaS [17]

Answer:

x=3.5

Step-by-step explanation:

subract 5 on the other side, than divide by 2

8 0
3 years ago
potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standa
EleoNora [17]
24 because 42 \ 6 is 24
4 0
3 years ago
3^2 ÷ 3^-1 explain the steps
Ksenya-84 [330]
First you would need to Simplify <span>{3}^{2}<span>3<span>​2​​</span></span></span> to <span>99

Next you would need to : </span>Use Negative Power Rule​​ =​9÷​3​​1​​
<span>
then you would need to use a ÷ b/c = a * c/b and get 9*3

And you will lastly get 27</span>
7 0
3 years ago
(<br> x<br> −<br> 3<br> )<br> (<br> x<br> −<br> 1<br> )<br> (x−3)(x−1)
galina1969 [7]

Answer:

x² - 4x + 3

Step-by-step explanation:

When multiplying binomials (two terms in an expression), use FOIL. It stands for the first, outside, inside, and last terms in each bracket.

(x−3)(x−1)           Expand with FOIL

= x² - x - 3x + 3      Collect like terms

= x² - 4x + 3

7 0
3 years ago
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