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maksim [4K]
2 years ago
15

Numbers 13 14 15 16 17?

Mathematics
1 answer:
Brilliant_brown [7]2 years ago
5 0

Answer:

Step-by-step explanation:

13.d

14.c

15.b

16.d

17.b

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1.) What is the best approximation of the solution to the system to the nearest integer values?
melisa1 [442]

<u>Part 1)</u> we have

5x+2y=16 ------> equation A

x+3y=12

x=12-3y ------> equation B

Substitute the equation B in equation A

5[12-3y]+2y=16

60-15y+2y=16

13y=44

y=44/13=3.38

Find the value of x

x=12-3(44/13)=1.85

the best approximation is the point (2.3)

therefore

<u>the answer Part 1) is the option C</u>

(2.3)

<u>Part 2) </u>we have

y=-x-2 ------> equation A

y=3x+2 ------> equation B

equate equation A and equation B

-x-2=3x+2

4x=-4

x=-1

Find the value of y

y=-(-1)-2=-1

the solution is the point (-1,-1)

therefore

<u>the answer Part 2) is </u>

(-1,-1)


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I dentist the slope and a point on the line
Anika [276]

Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y  -1 = 2/3(x-6)  We want to get this into the slope intercept form of a line.  We want it to be in the form y = mx + b.  Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9  Now divide all the way through by 3 to get

y = 2/3x - 3  

y = mx + b.  The m part is the slope.  In this equation the slope is 2/3

There are in infinite amount of points on a line.  I do not know if they give you a picture or if you are just to create your own.  I am going to create a point that have x = 0.  I get to pick the point.  I could pick any number.  0 is just usually really easy.  So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

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Now that I think about it, I do not think that I would start out clearing the fraction even though it works.  I think that I would do it like this"

y - 1 = 2/3(x - 6)  Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4  I can make -6 a fraction by putting it over 1.  Now we have 2/3(-6/1)  multiply across to get  -12/3.  A positive times a negative is a negative.  -12 divided by 3 is -4.

y - 1 = 2/3x -4   now add 1 to both sides.

y = 2/3x -3

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1 year ago
Trigonometric identities: Performance task
MakcuM [25]

#1

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\\ \sf\longmapsto 1-cos^2x

\\ \sf\longmapsto sin^2x

#2

\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}

\\ \sf\longmapsto tan^2x-sec^2x

\\ \sf\longmapsto 1

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