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olga55 [171]
2 years ago
6

How to get rid of a square root in the denominator?.

Mathematics
1 answer:
Romashka [77]2 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

to clear a square root on the denominator

Multiply the numerator and denominator by the square root, for example

\frac{5}{\sqrt{3} }

= \frac{5}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = \frac{5\sqrt{3} }{3}

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16x-4=31+12x please help I'm so confused
kolezko [41]
By the way I looked this up but heres the best ive got
<span>Simplifying (-1x + 27) + (16x + 4) = 0 Reorder the terms: (27 + -1x) + (16x + 4) = 0 Remove parenthesis around (27 + -1x) 27 + -1x + (16x + 4) = 0 Reorder the terms: 27 + -1x + (4 + 16x) = 0 Remove parenthesis around (4 + 16x) 27 + -1x + 4 + 16x = 0 Reorder the terms: 27 + 4 + -1x + 16x = 0 Combine like terms: 27 + 4 = 31 31 + -1x + 16x = 0 Combine like terms: -1x + 16x = 15x 31 + 15x = 0 Solving 31 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 15x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 15x = 0 + -31 15x = 0 + -31 Combine like terms: 0 + -31 = -31 15x = -31 Divide each side by '15'. x = -2.066666667 Simplifying x = -2.066666667</span>
4 0
3 years ago
a local businesses bought a square ploy of land. the sides of the lot measure 32 feet on each side. he decides to split the lot
san4es73 [151]

Answer:

Approximate length of the diagonal fencing needed   is  45.25 cm.

Step-by-step explanation:

Here, each side of the square shaped land = 32 ft

Now, the diagonal fencing is made in side the plot so that the land is divided into two right triangles.

<u>In the triangle:</u>

Base side of the triangle  = 32 cm

Perpendicular length of the triangle = 32 cm

Let us assume the hypotenuse of the triangle = k cm

⇒The length of the diagonal in the square = k cm

by <u>PYTHAGORAS THEOREM</u> in a right angled triangle:

(Base)^{2} +  (Perpendicular)^{2}  =  (Hypotenuse)^{2}

⇒(32)^2 + (32)^2  =k^2\\or, k^2  = 1024 + 1024 =  2048\\\implies k = \sqrt{2048}  = 45.25

or, k = 45.25 cm

Hence,the approximate length of the diagonal fencing needed  to fence the square land is  45.25 cm.

6 0
3 years ago
To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $6 per hour. The chemistry c
ivanzaharov [21]
T= # of rental hours


Multiply number of hours rented by the cost per hour, add that total to the reservation fee. The total needs to be less than $91.


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$19 + $6t < $91
subtract 19 from both sides

6t < 72
divide both sides by 6

t < 12


ANSWER: To spend less than $91, they need to rent the room less than 12 hours.

Hope this helps! :)
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3 years ago
What is the slope of a line parallel to the line whose equation is 52 +y = -9. Fully
inna [77]

Answer:

Step-by-step explanation:

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