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Virty [35]
3 years ago
8

Make x the subject of formula x²/a²+y²/b²=1

Mathematics
1 answer:
umka21 [38]3 years ago
3 0

Answer:

x = ± \sqrt{\frac{a^2b^2-a^2y^2}{b^2} }

Step-by-step explanation:

Given

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

Multiply through by a²b² to clear the fractions

b²x² + a²y² = a²b² ( subtract a²y² from both sides )

b²x² = a²b² - a²y² ( divide both sides by b² )

x² = \frac{a^2b^2-a^2y^2}{b^2} ( take the square root of both sides )

x = ± \sqrt{\frac{a^2b^2-a^2y^2}{b^2} }

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Tahmid has 96 G.I. Joe action figures and Sandeep has one-third as much as Tahmid does. How many figures must Tahmid give Sandee
Ann [662]
Tahmid has 96 figures, Sandeep has 1/3 of it so 
96(1/3) = 96/3 = 32
Sandeep has 32 figures

Tahmid 96 ; Sandeep 32

How many must tahmid give so they have the same figures?
First take the difference of the two so we know how many tahmid can give. 
96-32 = 64
now they each have 32 and 64 give or keep. for each one tahmid gives, he must keep one himself so to match the number they both own. so we divide the number of 2, one part to give, the other part to keep himself.
64/2 = 32
So, Tahmid must give Sandeep 32 figures to have equal number of figures of 64 each. 
6 0
3 years ago
Let R be the event that a randomly chosen person lives in the city of Raleigh. Let O be the event that a randomly chosen person
Anit [1.1K]

Answer:

P(O|R)

Step-by-step explanation:

The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).

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In the question,

Event R = Person lives in the city of Raleigh

Event O = Person is over 50 years old

The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).

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P(O|R)

7 0
3 years ago
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ElenaW [278]

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Step-by-step explanation:

First you should plug in the number of bars for each equation, if you get one bar from the snack shop the price would be $1.25, I'm going to fill in the table to help you better understand.

y= 1.25(2) 2.50

y= 1.25(3) 3.75

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3 years ago
Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math
NISA [10]

Answer:A=\frac{14}{9}\cdot \sqrt{2}\ unit^2

Step-by-step explanation:

Given

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y=10 x^2

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to get the we need to integrate the curves over x axis

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A=2\sqrt{2}\left [ 1-\frac{2}{9}\right ]

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B. meters per second
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