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masha68 [24]
1 year ago
12

Which expression gives the length of the transverse axis of the hyperbola

Mathematics
1 answer:
klio [65]1 year ago
7 0

Answer:

Option (B)

Step-by-step explanation:

From the picture attached,

F1 and F2 are the focii of the hyperbola.

Point P(x, y) is x units distant from F1 and y units distant from the other focus F2.

By the definition of a hyperbola,

"Difference between the distances of a point from the focii is always constant and equals to the measure of transverse axis."

Difference in the distances of point P from focii F1 and F2 = (x - y) units

This distance is equal to the length of the transverse axis = (x - y) units

Therefore, Option (B) will be the answer.

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astra-53 [7]

Answer:

1) 2/7

2) 8/11

3) 3/2 or 1 1/2

4) 32/35

Step-by-step explanation:

1.5/7•14/35

= 5/7 × 14/35

Using Cancellation method

= 1/1 × 2/7

= 2/7

2.[4/5][10/11]

= 4/5 × 10/11

Using Cancellation method

= 4/1 × 2/11

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3.8 3/4 multiplied by 2/9

= 8 3/4 × 2/9

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= 3/2 × 1/1

= 3/2

= 1 1/2

4. [4/5]10/11][7/8]

40/50 ÷ 77/88

= 40/50 × 88/77

= 40/50 × 8/7

= 40/25 × 4/7

= 8/5 × 4/7

= 32/35

4 0
2 years ago
In ABC, AB=5, BC=9, and AC=8. choose the angle measures in order from greatest to least.
shepuryov [24]
<span>angle measures in order from greatest to least.
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6 0
2 years ago
Read 2 more answers
Solve for x: three fourths times x plus five fourths equals four times x
denis-greek [22]

Answer:

The value of x for the given expression is \dfrac{5}{13}

Step-by-step explanation:

Given as :

The statement is , three fourths times x plus five fourths equals four times x

So, \dfrac{3}{4} × x + \dfrac{5}{4} = 4 × x

<u>Now, rearranging the equation</u>

i.e 4 x -  \dfrac{3}{4} × x = \dfrac{5}{4}

Or, 4 x -  \dfrac{3 x}{4}  = \dfrac{5}{4}

Or, \dfrac{16 x - 3 x}{4}  = \dfrac{5}{4}

Or, \dfrac{13 x}{4}  = \dfrac{5}{4}

Or, 13 x = \dfrac{5}{4} × 4

Or, 13 x = 5

∴ x = \dfrac{5}{13}

Hence, The value of x for the given expression is \dfrac{5}{13} Answer

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1 year ago
Grace read 9 books in 3 months what was her rate of reading Books per month​
Lorico [155]

Answer:

3 books per month

Step-by-step explanation:

9 books ÷ 3 months = 3 books per month :)

7 0
2 years ago
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A Candlestick burns at a rate of 0.2 inches per hour. After 8 straight hours of burning , the candlestick is 13.4 inches tall. W
Montano1993 [528]

Answer:the original height of the candle is 14.8 inches

Step-by-step explanation:

A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

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n represents the number of terms in the sequence.

From the information given,

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We want to determine the value of the first term, a. Therefore,

13.4 = a - 0.2(8 - 1)

13.4 = a - 1.4

a = 13.4 + 1.4 = 14.8 inches

8 0
2 years ago
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