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Llana [10]
3 years ago
11

what is the smallest value of N that will make each number rational from this equation square root of 76+n and square root of 2n

+26
Mathematics
2 answers:
Readme [11.4K]3 years ago
5 0

Answer:

5.

Step-by-step explanation:

If i understand the question correctly:

It looks like 5 because,

76 + 5 = 81 and √81 is rational.

2(5) + 26 = 36 and √36 is rational.

gladu [14]3 years ago
3 0

Answer:

For the smallest common denominator 76+n=2n+25, n would be 51

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Step-by-step explanation:

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7. Draw an equilateral triangle of side 6.5 cm and after locating its circumcentre. Draw its circumcircle. send it with image​
mafiozo [28]

Answer:

Step-by-step explanation:

A circumcircle can be referred to as a circumscribed circle to a triangle. The steps to follow is stated below:

i. Since the triangle is equilateral, draw the triangle with sides 6.5 cm

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iii. With the center and either radius  OA, OB or OC, draw a circumscribed circle to the triangle.

The construction is attached to this answer for clarifications.

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3 years ago
Solve each system by elimination by multiplying both equations. eliminate y first. show all work.
Alex17521 [72]
First \mathrm{Multiply\:}10x-3y=18\mathrm{\:by\:}3:\quad 30x-9y=54
Then \mathrm{Multiply\:}6x-10y=-22\mathrm{\:by\:}5:\quad 30x-50y=-110
To get \begin{bmatrix}30x-9y=54\\ 30x-50y=-110\end{bmatrix}
So...
30x-50y=-110 \ \textgreater \  \begin{bmatrix}30x-9y=54\\ -41y=-164\end{bmatrix}
-41y=-164 \ \textgreater \  \mathrm{Divide\:both\:sides\:by\:}-41 \ \textgreater \  \frac{-41y}{-41}=\frac{-164}{-41}
To get y = 4.
\mathrm{For\:}30x-9y=54\mathrm{\:plug\:in\:} \:y=4 \ \textgreater \  30x-9\cdot \:4=54
\mathrm{Multiply\:the\:numbers:}\:9\cdot \:4=36 \ \textgreater \  30x-36=54 \ \textgreater \
Next \mathrm{Add\:}36\mathrm{\:to\:both\:sides} \ \textgreater \  30x-36+36=54+36 \ \textgreater \  \mathrm{Simplify} \ \textgreater \  30x=90
Finally \mathrm{Divide\:both\:sides\:by\:}30 \ \textgreater \  \frac{30x}{30}=\frac{90}{30} \ \textgreater \  x = 3
Therefore our solutions are y = 4, x = 3
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3 years ago
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