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KIM [24]
4 years ago
13

Slope of Y(-2,-1) and E (4,31)

Mathematics
1 answer:
Irina-Kira [14]4 years ago
7 0

Answer:

16/3 or 5.33333

Step-by-step explanation:

You will do \frac{y-y}{x-x} make sure it is y2 - y1 and x2 - x1.  So lets plug in your numbers. 31 + 1/ 4 +2 = 32/6 = 16/3 simplified. I turned it to + because two - - equals a +.

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Solve for x and y. -4x + 8y = -4 4x = 3y + 14
algol13
Hello!! Lets do this step by step! :) 
<span><span><span><span>−<span>4x</span></span>+<span>8y</span></span>=<span>−4</span></span>;<span><span>4x</span>=<span><span>3y</span>+14</span></span></span> <span><span><span>
<span /></span><span /></span><span /></span>To first get x:
<span><span><span><span>−<span>4x</span></span>+<span>8y</span></span>+<span>−<span>8y</span></span></span>=<span><span>−4</span>+<span>−<span>8y  </span></span></span></span>we are ganna add -8y to both sides
<span><span>−<span>4x</span></span>=<span><span>−<span>8y</span></span>−4</span></span><span><span><span>−<span>4x</span></span><span>−4</span></span>=<span><span><span>−<span>8y</span></span>−4</span><span>−4  </span></span></span>we are ganna divide both sides by -4
<span>x=<span><span>2y</span>+1</span></span>
 next just substitute <span><span>2y</span>+1</span> for x in<span><span><span> 4x</span>=<span><span>3y</span>+14</span></span>:</span><span><span>4x</span>=<span><span>3y</span>+14</span></span><span><span>4<span>(<span><span>2y</span>+1</span>)</span></span>=<span><span>3y</span>+14</span></span><span><span><span>8y</span>+4</span>=<span><span>3y</span>+14</span></span><span><span><span><span>8y</span>+4</span>+<span>−<span>3y</span></span></span>=<span><span><span>3y</span>+14</span>+<span>−<span>3y</span></span></span></span> 
we are ganna add -3y to both sides <span><span><span>5y</span>+4</span>=14</span><span><span><span><span>5y</span>+4</span>+<span>−4</span></span>=<span>14+<span>−4</span></span></span>
we are ganna add -4 to both sides <span><span>5y</span>=10</span><span><span><span>5y</span>5</span>=<span>105</span></span>
now we are ganna divide both sides by 5 <span>y=2</span>substitute 2 for y in<span><span> x=<span><span>2y</span>+1</span></span>:</span><span>x=<span><span>2y</span>+1</span></span><span>x=<span><span><span>(2)</span><span>(2)</span></span>+1</span></span><span>x=5</span>

And we get our answer!
x=5
y=2

Hope that helps! If you have any other questions or need further explanation just let me know! :)

5 0
3 years ago
Read 2 more answers
Identifying a binomial experiment In a study conducted by the sponsoring organization of an academic conference, attendees were
sp2606 [1]

Answer:

1, this is a binomial experiment.

Step-by-step explanation:

this is a binomial experiment. Since it is general outcome, the probability of success is 0.50, that is 50 percent.

we have that X follows the binomial distribution

X ~ Binomial(n = 3, p = 0.50)

we have 3 outcomes( general, applied, theoretical).

mean = E(X)

= np

= 3(0.5)

= 1.5

standard deviation = σ = √np(1-p)

= √3(0.5)(1-0.5)

= √1.5(0.50)

= √0.75

= 0.8660

the mean = 1.5

the standard deviation = 0.8660

4 0
3 years ago
use the associative property to write two different expressions that you can use to find the sum add 1, 3 and 25​
Mekhanik [1.2K]
(1+3)+25=1+(3+25)

(25+1)+3=25+(1+3)
5 0
3 years ago
Distributive property of 224÷7
Tcecarenko [31]
224 
-----

=1/7 (224) 

=1/7(210 + 14)

=210        14
  -----    +  ------
   7              7

= 32 






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4 years ago
On a scale drawing of a dock for a marina, 1 inch equals 15 feet. The dock is 200 feet long.
lubasha [3.4K]
200/15 = 40/3 or 13.33  inches

7 0
3 years ago
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