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11111nata11111 [884]

3 years ago

11

Match each pair of monomials with their greatest common factor. Tiles 4p4q5 and 8p3q2 24pq6 and 16p3q5 8p3q6 and 4p2q5 16p3q2 an

d 24p2q 12p3q and 4p2q5 Pairs 4p2q5 arrowBoth 4p3q2 arrowBoth 8p2q arrowBoth 8pq5 arrowBoth

1 answer:

pashok25 [27]3 years ago

8 0

The GCF of the first two is 4p³q².The GCF of the second two is 8pq⁵.The GCF of the third two is 4p²q⁵.The GCF of the fourth two is 8p²q.The GCF of the fifth two is 4p²q.
To find the GCF of each pair, find the greatest number that will divide into each coefficient. As for the variable portions, choose the variable that has the smallest exponent from each pair.

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Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all

Evgesh-ka [11]

Answer:

y = 3x + 5

Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of points A and B into the formula and simplify:

$m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3$

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.

3) Using slope-intercept format, represented by the equation $y = mx + b$ , write the equation of the line. Remember that the number in place of $m$ , or the coefficient of the x-term, is the slope. So, substitute 3 for $m$ . Also, remember that $b$ represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

$y = 3x + 5$

7 0

3 years ago

S - 5t + s to the 2nd power; s = 4 and t= -1

expeople1 [14]

Answer:

1st question is 7t 2nd question is -104

Step-by-step explanation:

7 0

3 years ago

The members of a men’s club have a choice of wearing black or red vests to their club meetings. A study done over a period of ma

andrew-mc [135]

Answer:

Step-by-step explanation:

Let x be a random variable representing the number of the members of a men’s club that wear black vests to their club meetings. This is a binomial distribution since the outcomes are two ways. It is either they wear black or red. The probability of success, p = 70/100 = 0.7

The probability of failure, q would be 1 - p = 1 - 0.7 = 0.3

a) Number of samples, n = 10

We want to determine P(x ≤ 8)

From the binomial distribution calculator,

P(x ≤ 8) = 0.851

5 0

4 years ago

Read 2 more answers

What is the slope of the line that contains the points (0,7) and (8,-3)

Novay_Z [31]

Slope= $\frac{change in y}{change in x}$
slope m= $\frac{7--3}{0-8}$
m= $\frac{10}{-8}$

4 0

3 years ago

Read 2 more answers

Rectangles J and K are similar. If the area of rectangle J is 440, what is the area of rectangle K? I need this today

Hunter-Best [27]

Answer:

$Area = 27.5$

Step-by-step explanation:

Given

$J_{Area} = 440$

$J_{Width} = 22$

$K_{Width} = 5.5$

<em>See attachment</em>

Required

Determine the area of K

First, we need to calculate the length of the rectangle J

$J_{Length} * J_{Width} = J_{Area}$

This gives:

$J_{Length} * 22 = 440$

Divide both sides by 22

$\frac{J_{Length} * 22}{22} = \frac{440}{22}$

$J_{Length} = 20$

So, the length of the rectangle J is 20.

Since both shapes are similar, then:

$J_{Length} : J_{Width} = K_{Length} : `K_{Width}$

Substitute the known values:

$20 : 22 = K_{Length} : `5.5$

Express as fraction:

$\frac{20 }{ 22 }= \frac{K_{Length} }{ `5.5}$

Make Length, the subject of formula

$K_{Length} = \frac{5.5 * 20}{22}$

$K_{Length} = \frac{110}{22}$

$K_{Length} = 5$

The area of K is:

$Area = K_{Length} * K_{Width$

$Area = 5.5 * 5$

$Area = 27.5$

4 0

3 years ago