A line passes through the point (1,−5) and has a slope of −2. What is the equation of this line?

Factor the expression. q²r+ blank s^2t)(blankq^4r^2-6q^2rs^2t+blanks^4t^2

rodikova [14]

The equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is q⁶ - r⁶s³

<h3>How to factor the expression?</h3>

The expression is given as:

(q² − r²s) (q⁴ + q²r²s + r⁴s²)

Expand the expression

(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q²(q⁴ + q²r²s + r⁴s²) − r²s(q⁴ + q²r²s + r⁴s²)

Open the brackets

(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q⁶ + q⁴r²s + q²r⁴s² -q⁴r²s - q²r⁴s² - r⁶s³

Evaluate the like terms

(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q⁶ - r⁶s³

Hence, the equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is q⁶ - r⁶s³

Read more about expressions at:

brainly.com/question/11994062

#SPJ1

<h3>Complete question</h3>

Factor the expression. (q² − r²s) (q⁴ + q²r²s + r⁴s²)

6 0

2 years ago

Peter can hit a box of 250 golf balls in 10 hours. How many golf balls per hour can Peter hit?

ivanzaharov [21]

Answer:

He hits 25 golf balls per hour.

Step-by-step explanation:

Divide 250 by 10 to get the answer.

5 0

3 years ago

A plot of land is 3/8 mile by 2 1/4 miles. Spencer solves 3/8•2 1/4 to find the area of the land in square miles. Enter numbers

Marina CMI [18]

9514 1404 393

Answer:

2
32
27

Step-by-step explanation:

The number 2 1/4 is split into the sum 2 + 1/4, then multiplied by 3/8. This gives ...

$\displaystyle\frac{3}{8}\cdot2\frac{1}{4}=\left(\frac{3}{8}\cdot\boxed{2}\right)+\left(\frac{3}{8}\cdot\frac{1}{4}\right)\\\\=\frac{6}{8}+\frac{3}{\boxed{32}}=\frac{24}{32}+\frac{3}{32}=\frac{24+3}{32}\\\\=\frac{\boxed{27}}{32}$

_____

Of course, fractions are multiplied in the usual way:

$\dfrac{a}{b}\cdot\dfrac{c}{d}=\dfrac{ac}{bd}$

8 0

3 years ago

The area of a rectangle is 42 m2 , and the length of the rectangle is 5 m more than double the width. find the dimensions of the

goldenfox [79]

I hope that will be useful for you.
Merry Christmas

5 0

3 years ago

The width of a casing for a door is normally distributed with a mean of 24 in and a standard deviation of 0.14 in. The width of

Galina-37 [17]

Answer:

0.2296 = 22.96% probability that the width of the casing exceeds the width of the door by more than 0.25 in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

The width of a casing for a door is normally distributed with a mean of 24 in and a standard deviation of 0.14 in.

This means that $\mu_{C} = 24, \sigma_{C} = 0.14$