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VLD [36.1K]
3 years ago
9

Find BC if B(8,-7) and C1-4,-2).

Mathematics
1 answer:
Alika [10]3 years ago
4 0

Using distance formula :

  • \sqrt{(x_2 - x_1) {}^{2}  + (y_2 - y_1) {}^{2} }

  • \sqrt{(8 - ( - 4)) {}^{2}  + ( - 7 - ( - 2)) {}^{2} }

  • \sqrt{(12) {}^{2} + ( - 5) {}^{2}  }

  • \sqrt{144 + 25}

  • \sqrt{169}

  • 13 \:  \: units
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A student answers 9 questions
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Explanation:

To find the answer you would divide 9/12 and you get .75, then you move the decimal point to the right twice to get your percentage
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A museumcharges forgeneraladmission and exhibitions. Admission and 3 exhibitionscosts $45. Admission and 5 exhibitionscosts $65.
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Solve each by elimination <br> 4x - 9y = 61<br> 10x + 3y = 25
rodikova [14]

Answer:

(4,-5)

Step-by-step explanation:

Hi there!

The problem asks us to solve by elimination, where we will add the two equations together to clear one variable, solve for the other variable, and then substitute the value of the other variable to find the value of the first variable

here's the system:

4x-9y=61

10x+3y=25

we'll clear y to start

multiply the second equation by 3

3(10x+3y)=3(25)

30x+9y=75

  4x-9y=61

now add the equations together (the 9y's clear because one is positive and another is negative)

34x=136

divide by 34

x=4

the value of x is 4

now to find y:

substitute the value of x into either one of the equations to solve for y

if we were to do the first equation for example:

substitute x as 4 into the equation

4(4)-9y=61

multiply

16-9y=61

subtract

-9y=45

divide

y=-5

so the answer is x=4, y=-5. If you need it as a point, it's (4,-5)

Hope this helps! :D

4 0
3 years ago
Emma and Sydney go to the movie theater and purchase refreshments for their friends.
Zepler [3.9K]

25.50 = 7d + 2p

52.50 = 5d + 10p

These are the two equations we're going to use to determine the price of popcorn.

First we need to eliminate one set of variables. Let's eliminate the drinks.

127.50 = 35d + 10p

-367.50 = -35d + -70p

-240 = 0d - 60p

-240 = -60p

P = 4.00

So, popcorn is $4, right? Let's keep working on the problem so we can double check...

So, now let's add the $4 as the variable for P.

25.50 = 7d + 8

52.50 = 5d + 40

17.50 = 7d

12.5 = 5d

d = 2.5

d=2.5

This checks out! Since both equations state that drinks are 2.50, that means we have the right pricing for popcorn... $4.00

Popcorn is $4.00, drinks are $2.50

<em>Hope I could help! :) </em>

3 0
3 years ago
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