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Mashutka [201]
3 years ago
15

What is the slope of the line that passes through the points (-2, 2), and (-4, -2)? - 2 -2

Mathematics
1 answer:
dusya [7]3 years ago
4 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-2, 2) and (-4, -2). Substitute:

m=\dfrac{-2-2}{-4-(-2)}=\dfrac{-4}{-2}=2

<h3>Answer: the slope = 2</h3>
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How would you solve this? help.
Eddi Din [679]

Answer:

<em>Center: (3,3)</em>

<em>Radius: </em>2\sqrt{5}<em />

Step-by-step explanation:

<u>Midpoint and Distance Between two Points</u>

Given two points A(x1,y1) and B(x2,y2), the midpoint M(xm,ym) between A and B has the following coordinates:

\displaystyle x_m=\frac{x_1+x_2}{2}

\displaystyle y_m=\frac{y_1+y_2}{2}

The distance between both points is given by:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Point (5,7) is the center of circle A, and point (1,-1) is the center of the circle B. Given both points belong to circle C, the center of C must be the midpoint from A to B:

\displaystyle x_m=\frac{5+1}{2}=\frac{6}{2}=3

\displaystyle y_m=\frac{7-1}{2}=\frac{6}{2}=3

Center of circle C: (3,3)

The radius of C is half the distance between A and B:

d=\sqrt{(1-5)^2+(-1-7)^2}

d=\sqrt{16+64}=\sqrt{80}=\sqrt{16*5}=4\sqrt{5}

The radius of C is d/2:

r =4\sqrt{5}/2 = 2\sqrt{5}

Center: (3,3)

Radius: 2\sqrt{5}

8 0
3 years ago
A rectangle has a length that is 3 units greater than its width. What algebraic expression describes its perimeter
harina [27]
This expression should do

L=3+W
7 0
3 years ago
Let f(x)=x2+3x−4 .
valentina_108 [34]

Here are a ton of correct answers. I got a few questions wrong but they still show the correct answer.

5 0
3 years ago
Read 2 more answers
The mean test score in her upcoming class is 49, and the standard deviation is 20.7. The teacher wants to identify those student
QveST [7]

Answer:

Students who have z-scores above z = 2.00 are the ones who scored above 90.4.

Step-by-step explanation:

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.

The mean test score in her upcoming class is 49, and the standard deviation is 20.7.

This means that \mu = 49, \sigma = 20.7

Identify the test score corresponding to a z-score of above z=2.00.

As X increases, so does the z-score. So those scores are higher than X when Z = 2.

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

2 = \frac{X - 49}{20.7}

X - 49 = 2*20.7

X = 90.4

Students who have z-scores above z = 2.00 are the ones who scored above 90.4.

3 0
3 years ago
Max's age is 2 more then his father's age divided by 4 max is 13 years old. how old is his dad?
Ahat [919]
First write an equation for this (with X being the dads age).
X/4 +2= 13

Solve for x to find the dads age.

X/4=11
X=44
His dad is 44 years old
3 0
3 years ago
Read 2 more answers
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