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aleksley [76]
3 years ago
9

Which expression is equivalent to : (2n - 3)?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0

Answer: Choice C) \frac{8}{9}n - 1\frac{1}{3}

====================================================

Explanation:

We multiply the outer term 4/9 with each term inside

  • (4/9) times (2n) = (4*2n)/9 = (8n)/9 = (8/9)n
  • (4/9) times (-3) = (4*(-3))/9 = -12/9 = -4/3

The improper fraction 4/3 converts to the mixed number 1 & 1/3

4/3 = (3+1)/3 = 3/3 + 1/3 = 1 + 1/3 = 1 & 1/3

So overall, we can say \frac{4}{9}(2n-3) = \frac{8}{9}n - 1\frac{1}{3}

This is equivalent to saying \frac{4}{9}(2n-3) = \frac{8}{9}n - \frac{4}{3}

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For the square with side length n, the diagonal measures:

d = \sqrt{2} *n

<h3>How to get the length of the diagonal?</h3>

The sidelength of the square is n, and we want to get the length of the diagonal d.

Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.

Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;

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If you want to learn more about right triangles:

brainly.com/question/2217700

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We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4

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So we can break up the 10ab into 6ab+4ab and then use factor by grouping

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