Factor 54+27 using the GCF. The factored expression is ?

Mathematics

1 answer:

galben [10]2 years ago

3 0

Answer:

27(2+1)

Step-by-step explanation:

Its 27(2+1) because 27 is the GCF and it goes into 54 and 27 then you divide 54/27 and then 27/27, at that point you have the numbers 2 and 1 then you just put them into the equeation. And BOOM just like that your finished.

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A curve has equation y = x²(x - 2) Work out the gradient of the curve at the point (3,9).

slava [35]

Answer:

y = x^2 (x - 2) = x^3 - 2 x^2

dy/dx = 3 x^2 - 4 x

At x = 3 dy/dx = 3 * 9 - 4 * 3 = 15 The slope (gradient) of the curve

4 0

2 years ago

How do I do this? Please explain in detail.

umka2103 [35]

22.5/(x-6) + 22.5/(x+6) = 9
multiply by x-6
=> (x-6)22.5/(x-6) + (x-6)22.5/(x+6) = 9(x-6)
=> 22.5 + (x-6)22.5/(x+6) = 9(x-6)
multiply by x+6
=> (x+6)22.5 + (x+6)(x-6)22.5/(x+6) = 9(x-6)(x+6)
=> (x+6)22.5 + (x-6)22.5 = 9(x-6)(x+6)
distribute
=> 22.5x+6(22.5) + 22.5x - 6(22.5) = 9(x^2 - 36)
=> 45x = 9x^2 - 9(36)
=> 0 = 9x^2 - 45x - 9(36)
divide by 9
=> 0 = x^2 - 5x - 36
=> 0 = x^2 - 5x - 36
=> 0 = (x - 9)(x + 4)
x=9 and -4

8 0

3 years ago

Read 2 more answers

For a circle with a radius of 15 cm, what is the length of an arc intercepted by an angle measuring 120°?

slega [8]

Answer: 31.43 cm

Step-by-step explanation:

The length of an arc is calculated using the formula:

$\frac{theta}{360}$ X 2 $\pi$ r