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3 years ago

Help i will be giving brainliest!!

Mathematics

1 answer:

Elena L [17]3 years ago

4 0

See the photo attached below, answer is D

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MATH HELP

elena-s [515]

The equation of line perpendicular to given line is:

$y = \frac{2}{3}x-1$

Step-by-step explanation:

Given equation is:

$3x+2y = -8$

First of all, we have to find the slope of the given line

So,

$3x+2y = -8\\2y = -3x-8\\$

Dividing both sides by 2

$\frac{2y}{2} = \frac{-3x-8}{2}\\y = \frac{-3x}{2} - \frac{8}{2}\\y =-\frac{3}{2}x-4$

As the equation is in slope-intercept form, the co-efficient of x will be the slope of the line

$m_1 = -\frac{3}{2}$

As we know that product of slopes of two perpendicular lines is -1

Let m-2 be the slope of line perpendicular to given line

$m_1.m_2 = -1\\-\frac{3}{2} . m_2 = -1\\m_2 = -1 * -\frac{2}{3}\\m_2 = \frac{2}{3}$

Slope-intercept form is:

$y = m_2x+b$

putting the value of the slope

$y = \frac{2}{3}x+b$

Putting the point (3,1) in the equation

$1 = \frac{2}{3}(3) +b\\1 = 2 + b\\b = 1-2\\b = -1$

Putting the value of b

$y = \frac{2}{3}x-1$

Hence,

The equation of line perpendicular to given line is:

$y = \frac{2}{3}x-1$

Keywords: Slope-intercept form, slope

Learn more about equation of line at:

#LearnwithBrainly

8 0

3 years ago

The hourly wages earned by 20 employees are shown in the first box-and-whisker plot below. The person earning $15 per hour quits

agasfer [191]

Answer:

<h2>The mean decreases, and the median remains the same.</h2>

Step-by-step explanation:

Remember that a box plot is made by the quartiles of the distribution, the maximum value and the minimum value. So, from a box plot we can deduct the range, the median and the interquartile range.

In this case, the median remains the same at $9.5 per hour. The median is indicated by the middle line of the box, and you can observe that it doesn't change.

Now, the range of the data set decreases from 7 to 3.

On the other hand, the mean must decrease, because data greater than $11 doesn't exist in the box plot number 2, and the mean is a central measure sensible to those changes.

Therefore, the right answer is <em>The mean decreases, and the median remains the same.</em>