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Shtirlitz [24]
2 years ago
6

Write this expression so that its denominator, if any, is a positive integer. 2/(3+sqrt(7))

Mathematics
1 answer:
Tanzania [10]2 years ago
7 0

Answer:

The Answer is 3 - sqrt7

Step-by-step explanation:

2/3 + sqrt7   the starting equation

You multiply it by the conjugate which is 3 - sqrt7

= 2(3 - sqrt7) / (3 + sqrt7) (3 - sqrt7)  the equation after you multiply by 3 - sqrt7

(3 + sqrt7) (3 - sqrt7) = 2

= 2(3 - sqrt7) / 2    the equation after you simplify (3 + sqrt7) (3 - sqrt7)

Divide out the 2's

= 3 - sqrt7/1    the equation after you divide out the 2's

= 3 - sqrt7  is THE ANSWER

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tensa zangetsu [6.8K]
The answer would be 32,200 50*28*23
6 0
3 years ago
An object is traveling at a steady speed of 10 1/5 mi​/h. How long will it take the object to travel 1 4/5?
professor190 [17]

The object needs 10.58 minutes to travel 1 4/5 if the object is traveling at a steady speed of 10 1/5 mi​/h.

<h3>What is the distance?</h3>

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

An object is traveling at a steady speed of 10 1/5 mi​/h.

u = 10 1/5 min/h

u = 51/5 min/h

As we know, the speed-distance relationship:

time = distance/speed

distance = 1 4/5 = 9/5

time = (9/5)/(51/5)

time = 9/51 hours

time = (9/51)60

time = 10.58 minutes

Thus, the object needs 10.58 minutes to travel 1 4/5 if the object is traveling at a steady speed of 10 1/5 mi​/h.

Learn more about the distance here:

brainly.com/question/26711747

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3 0
2 years ago
Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with the
Andrei [34K]

Given:

Karen earns $54.60 for working 6 hours.

Amount she earns varies directly with the  number of hours she works.

She need to work to earn an  additional $260.

To find:

Number of hours she need to work to earn an  additional $260.

Solution:

Let the amount of earnings be A and number of hours be t.

According to question,

A\propto t

A=kt     ...(i)

where, k is constant of proportionality.

Karen earns $54.60 for working 6 hours.

54.60=k(6)

Divide both sides by 6.

\dfrac{54.60}{6}=k

9.1=k

Put k=9.1 in (i).

A=9.1t

Substitute A=260 in the above equation.

260=9.1t

Divide both sides by 9.1.

\dfrac{260}{9.1}=t

28.5714=t

t\approx 29

Therefore, she need to work extra about 29 hours to earn an  additional $260.

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2 years ago
X-y=5 and x+y=-10 is this parallel, perpendicular, or neither?
tiny-mole [99]

Answer:

Its perpendicular

Step-by-step explanation:

You can solve the equation to get x=-2.5 and y = -7.5 so they intersect there, but they intersect at 90 degrees so its perpendicular.

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A stone is dropped into some water and a circle of radius r is formed and slowly expands. The perimeter of the circle is increas
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I believe it would be 6 due to the radius being a half of the actual circumfrence
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