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3 years ago

Show why 5/6 is not proportional to 10/15.

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

6 0

Step-by-step explanation:5 times 2=10 but 6 times 2=12 not 15 so 5/6 is proportional to 10/12 not 10/15

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Write an equation of the perpendicular bisector of the segment with endpoints Q(−2,0)

olga nikolaevna [1]

The equation of perpendicular bisector of QR is:

$y = -\frac{2}{3}x+\frac{22}{3}$

Step-by-step explanation:

Given points are:

$Q(-2,0)\ and\ R(6,12)$

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

So,

$m = \frac{y_2-y_1}{x_2-x_1}$

Here

(x1,y1) = (-2,0)

(x2,y2) = (6,12)

Let m1 be the slope of QR:

Then

$m_1 = \frac{12-0}{6+2}\\= \frac{12}{8}\\= \frac{3}{2}$

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of two perpendicular lines is -1

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

The bisector will pass through the mid-point of QR

$M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\M = (\frac{-2+6}{2}, \frac{0+12}{2})\\M = (\frac{4}{2}, \frac{12}{2})\\M = (2,6)$

Slope-intercept form of equation is:

$y = m_2x+b$

Putting the value of slope

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

Putting (2,6) in the equation

$6 = -\frac{2}{3}(2)+b\\6 = -\frac{4}{3}+b\\b = 6+\frac{4}{3}\\b = \frac{18+4}{3}\\b = \frac{22}{3}$

So,

$y = -\frac{2}{3}x+\frac{22}{3}$

Hence,

The equation of perpendicular bisector of QR is:

$y = -\frac{2}{3}x+\frac{22}{3}$

Keywords: Mid-point, equation of line

Learn more about equation of line at:

#LearnwithBrainly

3 0

3 years ago

NEED SOME MATH HELP PLEASE

pogonyaev

tan 18 = 120/x

https://www.jiskha.com/questions/644268/From-the-top-of-a-cliff-120-m-above-the-water-the-angle-of-depression-of-a-boat

3 0

3 years ago

Pls hurry I’m being timed

ValentinkaMS [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A raffle is being held to benefit the local animal shelter. They sell 717 tickets that do not win any prize, 19 tickets that win

matrenka [14]

Let’s start by finding the total amount of tickets sold

717+19+1=737

Now multiply by 5 to see how much money they initially brought in

737•5=3,685

Now let’s find the total expense of the prizes

166+(19•20)=t

166+380=546

Now subtract the expenses from the total ticket sales

3,685-546=3,139

They made $3,139 TOTAL

Now let’s divide the total made by the total tickets sold

3139 / 737 = 4.26

They made $4.26 PER TICKET

Hope this helps!

7 0

3 years ago

Find the area of the shape shown below.

Kryger [21]

Answer: 4, 800

Step-by-step explanation:

4 0

3 years ago