3 years ago

A proportional relationship has a constant rate of change. True or False

Mathematics

1 answer:

dexar [7]3 years ago

7 0

Answer: I think it’s true

Step-by-step explanation:

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What is the cumulative area from the left under the curve for a z-score of -0.875? What is the area on the right of that z-score

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3 years ago

If a = √3-√11 and b = 1 /a, then find a² - b²

Serga [27]

If $b=\frac1a$ , then by rationalizing the denominator we can rewrite

$b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8$

Now,

$a^2 - b^2 = (a-b) (a+b)$

and

$a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8$

$a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8$

$\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}$

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2 years ago

How Do I solve this!

motikmotik

Answer:

1380 in²

Step-by-step explanation:

The lateral surface is the sum of the areas of all the sides, or 'faces'.

The bases (the top and bottom) are <u>not </u>included.

This is a prism with triangles for bases (at each end). The sides are rectangles.

Add up the areas of the rectangles.

300 + 480 + 600 = 1380

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3 years ago