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3 years ago

Point R(5,-3) and point N(9,-4) are on line k. What is the slope of the line passing through these points?

1 answer:

8 0

The slope of a line, denoted "m" is:

m=(y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points on the line.

m=(-4--3)/(9-5)

m=-1/4

So the slope is negative one quarter.

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Deidre is picking out some movies to rent, and she is primarily interested in documentaries and children's movies. She has narro

exis [7]

Answer: 6630

Step-by-step explanation:

Given , Number of documentaries = 17

Number of children's movies = 20

Total movies = 17+20=37

Number of combinations of r things taken out of things = $^nC_r=\dfrac{n!}{r!(n-r)!}$

Now, the number of different combinations of 3 movies can she rent if she wants at least one documentary

= (1 documentary+2 children's movies , 2 documentary+1 children's movies , 3 documentary+0 children's movies)

$=^{17}C_1\times^{20}C_{2}+^{17}C_2\times^{20}C_{1}+^{17}C_3\times^{20}C_{0}$

$=(17)\times\dfrac{20!}{2!18!}+\dfrac{17!}{2!15!}\times(20)+\dfrac{17!}{3!14!}(1)\\\\=3230+2720+680=6630$

Hence, the number of different combinations of 3 movies can she rent if she wants at least one documentary is 6630 .

3 0

3 years ago

12% of 80 working out

horsena [70]

How to do the problem:
Assuming that you mean you want 12% of the number 80 and showing work, here is the answer:

To get X percent of any number, write the percent as a decimal and then multiply that decimal by the whole.

What I mean:

You want 12% of 80
so first change 12% into a decimal
12% is equal to .12 as a decimal

Then multiply that decimal by the whole
Since you want 12% of 80, 80 is the whole

that means you do .12 * 80
which is equal to 9.6
<u>Thus(answer)</u>
12% of 80 = 9.6

4 0

2 years ago

Songs To Make You Feel Happy

DanielleElmas [232]

Awe thanks.
I like....

3 birds (bob Marley)
Lucy (skillet)
Step into my life (powfu)

8 0

3 years ago

Read 2 more answers

A clock's battery is running low. Every 6 hours, it slows down by 1 hour. By how much does it slow down in 1 hour?

mafiozo [28]

It would divide 1/6 which would translate into 0.16 with a repeating 6. I can’t do the work :(
sorry. hope it helped

7 0

3 years ago

Read 2 more answers

Write the slope-intercept form of the equation of each line

Vera_Pavlovna [14]

First let's talk about the blue line.

You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.

We have thusly,

$y=x+n$

Now look at where blue line intercepts y-axis, -1. That is our n.

So the blue line has the equation of,

$y=x-1$

Next the black lines. The black lines are axes so their equations are a bit different.

First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,

$y=0x+0=0$

Now we have y-axis. Does y axis have a slope? Yes but it is $\infty$ . The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,

$x=0$

That is, every point of a form $(0,a)$ lies on y-axis.

Hope this helps :)

8 0

3 years ago