Mathematics: Can y’all please help me with this

Can y’all please help me with this

beesbutterflyqueen

19.01.2022

$\frac{30}{x-2}$

Step-by-step explanation:

Factor where possible the numerators/ denominators

5x + 20 = 5(x + 4)

x² + x - 12 = (x + 4)(x - 3)

6x - 18 = 6(x - 3)

Change division to multiplication and turn the second fraction upside down.

Substituting the factors from above.

$\frac{5(x+4)}{x-2}$ × $\frac{6(x-3)}{(x+4)(x-3)}$

Cancel (x + 4) and (x - 3) on the numerator/denominator, leaving

$\frac{5(6)}{x-2}$ = $\frac{30}{x-2}$

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hooplikenari

05.10.2021

$\frac{\pi }{2}$

Step-by-step explanation:

One way to do this would be to find the circumference of the entire circle and divide it by 4, considering that the arc measure is 90 degrees

The radius is 1, and the circumference can be found by taking $2\pi r$

So, the circumference of this circle is $2\pi$

Now, all we have to do is divide that by four to get our answer

$\frac{2\pi }{4} = \frac{\pi }{2}$

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