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bagirrra123 [75]
3 years ago
8

Find the standard form equation of the Hyperbola -2y-82+9x^2=y^2

Mathematics
1 answer:
ehidna [41]3 years ago
3 0

Answer:

x²/9 − (y + 1)²/81 = 1

Step-by-step explanation:

-2y − 82 + 9x² = y²

9x² = y² + 2y + 82

9x² = y² + 2y + 1 + 81

9x² = (y + 1)² + 81

9x² − (y + 1)² = 81

x²/9 − (y + 1)²/81 = 1

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Trapezoids and kites
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QUESTION 3

The sum of the interior angles of a kite is 360\degree.

\Rightarrow 36\degree +70\degree+m.

\Rightarrow 106\degree+m.

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But the two remaining opposite angles of the kite are congruent.

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QUESTION 4

RH is the hypotenuse of the right triangle formed by the triangle with side lengths, RH,12, and 20.

Using the Pythagoras Theorem, we obtain;

|RH|^2=12^2+20^2

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|RH|^2=544

|RH|=\sqrt{544}

|RH|=4\sqrt{34}

QUESTION 5

The given figure is an isosceles trapezium.

The base angles of an isosceles trapezium are equal.

Therefore m

QUESTION 6

The measure of angle Y and Z are supplementary angles.

The two angles form a pair of co-interior angles of the trapezium.

This implies that;

m

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QUESTION 7

The sum of the interior angles of a kite is 360\degree.

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QUESTION 8

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6 0
3 years ago
−2(2x+3)≤26<br><br>-<br><br>2<br><br>2<br><br>x<br><br>+<br><br>3<br><br>≤<br><br>26<br><br>?
SashulF [63]

\huge \boxed{\mathbb{QUESTION} \downarrow}

- 2 ( 2 x + 3 ) \leq 26.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

- 2 ( 2 x + 3 ) \leq 26

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2x+3\geq \frac{26}{-2}  \\

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Subtracting -13 by 3..we'll get the answer as -16.

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Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.

x\geq \frac{-16}{2}  \\

Divide -16 by 2..we'll get the answer as -8.

\huge \boxed{ \boxed{ \bf \: x\geq -8 }}

  • The correct answer is ⇨ <u>x </u><u>greater </u><u>than </u><u>or </u><u>equal</u><u> to</u><u> </u><u>-</u><u>8</u><u>.</u>
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Answer:

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Step-by-step explanation:

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