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2 years ago

50 POINTS!

Mathematics

1 answer:

ehidna [41]2 years ago

7 0

Answer:

A. the distance between points W and X

Step-by-step explanation:

Looking for the distance of 5 units

A. the distance between points W and X

-3 - (-8) = -3 + 8 = 5
Correct

B. the distance between points X and Y

1 - (-3) = 1 + 3 = 4 < 5
Incorrect

C. the distance between points X and Z

5 - (-3) = 5 + 3 = 8 > 5
Incorrect

D. the distance between points Y and Z

5 - 1 = 4 < 5
Incorrect

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Step-by-step explanation:

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3 years ago

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kkurt [141]

Answer:

$(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}$

Step-by-step explanation:

You have two methods to expand this binomial.

Method 1

If you have the expression:

$(x- \frac{2}{5})^{2}$

You can write the expression it in the following way:

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

Then, apply the distributive property:

$(x-\frac{2}{5})(x-\frac{2}{5}) = x^2 -\frac{2}{5}x -\frac{2}{5}x+ (\frac{2}{5})\frac{2}{5}$

Simplify the expression:

$(x-\frac{2}{5})^2= x^2 -\frac{4}{5}x+ (\frac{4}{25})$

---------------------------------------------------------------------------------------

Method 2

For any expression of the form:

$(a-b)^2$

Its expanded form will be:

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

$a = x$

$b =\frac{2}{5}$

$(x- \frac{2}{5})^{2} = x^2 - 2x\frac{2}{5} + (\frac{2}{5})^2$

$(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}$

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3 years ago