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2 years ago

Find the value of two numbers if their sum is 23 and their difference is 5

Mathematics

1 answer:

yKpoI14uk [10]2 years ago

6 0

Let the two numbers be represented by x and y respectively.

Then x + y = 23, and x - y = 5.

Solve this system of linear equations for x and y. Start by rearranging them vertically:

x + y = 23

x - y = 5

--------------- Combining the two equations eliminates y:

2x = 28.

Then x = 14. If x = 14, then 14 + y = 23, and y = 9..

The solution is (14, 9); that is, x = 14 and y = 9.

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3 years ago

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2 years ago

A circle has a central angle measuring StartFraction 7 pi Over 10 EndFraction radians that intersects an arc of length 33 cm. Wh

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Answer:

15 cm.

Step-by-step explanation:

It is given that,

Central angle $=\dfrac{7\pi}{10}$

Arc length = 33 cm

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$s=r\theta$

where, s is arc length, r is radius and $\theta$ is central angle in radian.

Substitute s=33 and $\theta=\dfrac{7\pi}{10}$ in the above formula.

$33=r\left(\dfrac{7\pi}{10}\right)$

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Divide both sides by $7\pi$ .

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