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4 years ago

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

Mathematics

1 answer:

ehidna [41]4 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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Solve the differential equation by variation of parameters, subject to the initial conditions y(0) = 1, y'(0) = 0. 9y'' − y = xe

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Try this solution. If it is possible, check arithmetic part.

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4 years ago

PLEASEE HELPPP!!!

Harlamova29_29 [7]

Answer:

The amount is $649.46 and the interest is $49.46.

Step-by-step explanation:

STEP 1: To find amount we use formula:

A=P(1+rn)n⋅t

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

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4 years ago

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4 years ago

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2 years ago

Circle A and circle B are congruent. CD is a cord of both circles. if AB = 24 inches in the radius is 13 inches how long is CD A

Nitella [24]

Option A

Length of CD is 10 inches

Solution:

The diagram is attached below

Given that, Circle A and circle B are congruent

CD is a cord of both circles

AB = 24 inches

Radius = 13 inches

To find: length of CD

Draw a straight line connecting A and C

AC represents the radius of circle. Also given that radius is 13 inches, So AC = 13 inches

Given in question that AB = 24 inches

Therefore from figure, AO = AB/2 = 24/2 = 12

AO = 12

Let "b" be the length of CO

Therefore, CD = CO + OD = b + b

AOC forms a triangle, so we can use pythogoras theorem

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition for triangle AOC

$AC^2 = AO^2 + OC^2$

Substituting AC = 13 and AO = 12 and OC = b

$13^2 = 12^2 + b^2\\\\b^2 = 169 - 144\\\\b^2 = 25\\\\b = 5$

Thus length of CD is:

CD = b + b = 5 + 5 = 10

Thus length of CD is 10 inches

8 0

4 years ago