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3 years ago

Which shows a difference of squares?

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

6 0

Answer:

The equations shows a difference of squares are:

Step-by-step explanation:

the difference of two squares is a squared number subtracted from another squared number, it has the general from Ax² - By²

We will check the options to find which shows a difference of squares.

1) 10y²- 4x²

The expression is similar to the general form, so the equation represents a difference of squares.

It can be factored as (√10 y + 2x )( √10 y - 2x)

2) 6y²- x²

The expression is similar to the general form, so the equation represents a difference of squares.

It can be factored as (√6y + x )( √6y - x)

3) 8x²−40x+25

The expression is not similar to the general form, so the equation does not represent a difference of squares.

4) 64x²-48x+9

The expression is not similar to the general form, so the equation does not represent a difference of squares.

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4^3/2 Rewrite in radical form and then simplify

german

Answer:

Step-by-step explanation:

radical form conversion uses the equation: $\alpha ^\frac{z}{n} = `^n\sqrt{a^x}$

Use the rule to convert 4^3/2 to a radical, where a = 4, x = 3, and n = 2

$\sqrt{4^3}$

simplified, your answer is 8

hope this helps:)

4 0

2 years ago

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Vanessa bought a total of 5⁄3 pounds of green and red peppers. She bought 2⁄3 of a pound of green peppers. How many pounds of re

Temka [501]

Answer:

1 pound or 3/3

Step-by-step explanation:

Subtract the green peppers from the total (5/3 - 2/3 = 3/3)

To convert to a whole number, divide 3 by 3, which equals 1, so 1 whole pound of red peppers.

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3 years ago

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A b and c lie on a straight line given that angle y = 125 and angle z = 313 work out x

inysia [295]

Answer:

∠x = 78

Step-by-step explanation:

∠y + ∠1 = 180

=> 125 + ∠1 = 180

=> ∠1 = 180 - 125

=> ∠1 = 55

∠z + ∠2 = 360

=> 313 + ∠2 = 360

=> ∠2 = 360-313

=> ∠2 = 47

∠1 + ∠2 + ∠x = 180

=> 55 + 47 + ∠x = 180

=> ∠x = 180 - 55 - 47

=> ∠x = 78

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3 years ago

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Suppose the life of a particular brand of laptop battery is normally distributed with a mean of 8 hours and a standard deviation

Ierofanga [76]

Answer:

4.75% probability that the battery will last more than 9 hours before running out of power

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 8, \sigma = 0.6$