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Blizzard [7]
3 years ago
8

Given DEFG is a rhombus. Find the indicated measures.

Mathematics
1 answer:
Vinil7 [7]3 years ago
8 0

Answer:

1=39 (alt int)

2=39 (bisector)

3= 90 (rhombus diagonals form 90 degree angles)

4= 51 (triangle sum theorem)

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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]

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From the question, the center of the hyperbola is

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

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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
Which ordered pair is on the graph of the function y = 8x - 1 ?
Kobotan [32]
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3 years ago
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andrey2020 [161]

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3 years ago
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