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3 years ago

Perform the indicated operation and simplify 10x/5x-2 + 7x-2/5x-2

Mathematics

1 answer:

tatiyna3 years ago

6 0

Answer:

$\frac{17x-2}{5x-2}$

Step-by-step explanation:

10x/5x-2 + 7x-2/5x-2

$\frac{10x}{5x-2} + \frac{7x-2}{5x-2}$

Here both fractions have same denominator 5x-2

When the denominators are same then we can combine the numerators

we put denominator only once

$\frac{10x+7x-2}{5x-2}$

Now we simplify it

Combine like terms: 10x+7x becomes 17x

$\frac{17x-2}{5x-2}$

There is no common factor for the top and bottom

So we cannot simplify further

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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Need help on geometry

victus00 [196]

Answer:

$2\sqrt {10}$

Step-by-step explanation:

Given:

$x=3\sqrt 5$

$y=\sqrt 5$

As seen from the triangle, the triangle is a right angled triangle. Two sides of the triangle are given and we are asked to find the third side.

'x' is the hypotenuse as this side is opposite side to the right angled.

'y' and 'z' are the two legs of the triangle.

Now, using pythagoras theorem,

$x^2=y^2+z^2\\\\(3\sqrt 5)^2=(\sqrt 5)^2+z^2\\\\9\times 5=5+z^2\\\\45-5=z^2\\\\40=z^2\\\\z=\sqrt {40}\\\\z=2\sqrt {10}$

Therefore, the measure of the side 'z' is $2\sqrt {10}$ .

Hence, the third option is correct.

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3 years ago

Solve the equation. x/5 +9 = 4

solniwko [45]

Mult. all 3 terms by 5: x + 45 = 20.

Subtr. 45 from boths ides: x = -25 (answer)

6 0

4 years ago