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Igoryamba
3 years ago
10

Find the slope of a line through each pair (8,10),(-7,14)

Mathematics
1 answer:
allochka39001 [22]3 years ago
5 0
First u have to find Y2-Y1/X2-X1 , so u will replace the number to the y and x value.
step1: subtract Y2 and Y1. then find the different of x_value, which is 14-10/-7-8
step2: after u find the differences, u will get 4/(-15) .
finally, you will get a slope. y=4/-15x+b.
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The perimeter of a rectangle is 42 inches. If the length of the rectangle is 14 inches, which equation could be used to find the
Sever21 [200]
A. 2(x+14) = 42

(2x = 14
  x = 7

2(7) + 2(14) = 14 + 28 = 42)

7 0
2 years ago
Read 2 more answers
A 3.0-kg ball moving eastward at 4.0 m/s suddenly collides with and sticks to a 5.0-kg ball moving northward at 3.0 m/s. what is
vesna_86 [32]

Magnitude of the momentum of this system just after the collision = 19.2Kgm/s

<h3>What is law of conservation of momentum?</h3>

Law of conservation of momentum states that the total momentum after the collision must be equal to the total momentum before the collision.

The momentum of each ball is given by:

p = mv

where m is the mass of the ball and v its velocity.

The momentum of ball 1 is:

p = mv

= (3.0 kg)(4.0 m/s)

= 12.0 kg m/s in the eastward direction

The momentum of ball 2 is:

p = mv

= (5.0 kg)(3.0 m/s)

= 15.0 kg m/s in the northward direction

The two momenta are in perpendicular directions, so the magnitude of the total momentum can be found as:

p = \sqrt{p1^{2} +p2^{2} }

p = \sqrt{12^{2} +15^{2} }\\p = \sqrt{144 + 225} \\p = \sqrt{369}\\ p = 19.2 kgm/s

and due to the law of conservation of the momentum, this is also equal to the total momentum after the collision.

To learn more about law of conservation of momentum from the given link

brainly.com/question/12773641

#SPJ4

6 0
1 year ago
A bookshelf holds 6 different biographies and 5 different mystery novels. How many ways can one book of each type be selected?
Yuliya22 [10]

Answer:

30

Step-by-step explanation:

Each 1 biography has 5 possible mystery novels to choose from so, for each 6 books you could choose out of 5 possible mystery books and with that being said, 5 × 6 = 30

7 0
3 years ago
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gladu [14]
I can my user is hxe_toxic
4 0
3 years ago
Please help with a, b, and c!!
padilas [110]
(a). 
The product of two binomials is sometimes called FOIL.
It stands for ...

       the product of the First terms                (3j  x  3j)
plus
       the product of the Outside terms          (3j  x  5)
plus
       the product of the Inside terms            (-5  x  3j)
plus
       the product of the Last terms                (-5  x  5)

FOIL works for multiplying ANY two binomials (quantities with 2 terms).

Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .

Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.

Whenever you have     

              (the sum of two things) x (the difference of the same things)

the product is going to be

                 (the first thing)²  minus  (the second thing)² .

So in (a), that'll be      (3j)² - (5)²  =  9j² - 25 .

You could find the product with FOIL, or with this easier tool.
______________________________

(b).
This is the square of a binomial ... multiplying it by itself.  So it's
another product of 2 binomials, that both happen to be the same:

                            (4h + 5) x (4h + 5)  .

You can do the product with FOIL, or use another little tool:

The square of a binomial        (4h + 5)²    is ...

         the square of the first term               (4h)²
plus
         the square of the last term                (5)²
plus
         double the product of the terms      2 · (4h · 5)
________________________________

(c).
Use the tool I gave you in part-a . . . twice .

The product of the first 2 binomials is           (g² - 4) .

The product of the last 2 binomials is also    (g² - 4) .

Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .

5 0
3 years ago
Read 2 more answers
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