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umka2103 [35]
2 years ago
11

Use the point and the slope to graph each line. Write the equation of the line. The line contains point (2, –2) and is perpendic

ular to a line with slope –1.
Mathematics
2 answers:
ss7ja [257]2 years ago
8 0

Answer:

y = x - 4

Step-by-Step Explanation:

Perpendicular lines have slopes that are negative reciprocals—multiplying their slopes result in -1.

Given the slope of a line m = -1, then it means that the slope of the other line must be 1 (because multiplying the slope of line 1  (m1 = -1), and the slope of the other line (m2 = 1) results in: -1 × 1 = -1).

Therefore, given the slope of line 2 (m2 = 1), and the point (2, -2), we could plug these values into the slope-intercept form and solve for the y-intercept (b):

y = mx + b

-2 = 1(2) + b

-2 = 2 + b

Subtract 2 from both sides to solve for b:

-2 - 2 = 2 - 2 + b

-4 = b

Therefore, the y-intercept (b) = -4.

Hence, the equation of the perpendicular line is: y = x - 4

Please mark my answers as the Brainliest if you find my explanation helpful :)

Montano1993 [528]2 years ago
5 0
The answer is Y=x-4 hope this helps
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The lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line​?
SSSSS [86.1K]

Answer:

-2/3

Step-by-step explanation:

Perpendicular slopes have lines that multiply to -1

m* 3/2 = -1

Multiply each side by 2/3

m* 3/2 * 2/3 = -1 * 2/3

m = -2/3

The slope of the perpendicular line is -2/3

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3 years ago
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Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe
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Answer:

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}  

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)

We don't have a prior estimation for the proportion \hat p so we can use 0.5 as an approximation for this case  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

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3 years ago
Which set of data does not contain any outliers?
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Answer:

im not sure, i will try to figure it out for you

Step-by-step explanation:

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Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?. .
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Let

n-------> the number of nickels

q------> the number of quarters

we know that

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so

0.05n+0.25q=1.60 ----> equation A

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substitute equation B in equation A

0.05n+0.25[3n]=1.60

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q=3*2=6

therefore

<u>The answer part a) is</u>

the number of nickels are  2  and the number of quarters are 6

<u>the answer Part b) is</u>

The expressions that represents the number of quarters is

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3 years ago
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Help me with this question ​
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Answer:

15/4

Step-by-step explanation:

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Now we plug in the coordinates given to us into the equation:

(5-(-10))/(-1-(-5))

15/4

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