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Umnica [9.8K]
3 years ago
13

Answer the following two questions. What is the main difference between the two?

Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0

Step-by-step explanation:

i) 8x - 3 + 2(3x + 1)

=> 8x - 3 + 6x + 2

=> 14x - 1

ii) 8x - 3 - 2(3x + 1)

=> 8x - 3 - 6x - 2

=> 2x - 5

THE MAIN DIFFERENCE BETWEEN (i) & (ii) :- SIGNS ARE DIFFERENT. In (i) , there's a + sign in between (8x - 3) & 2(3x + 1) ..... but in (ii) , there's a - sign in between (8x - 3) & 2(3x + 1).

THE SIMILARITIES BETWEEN (i) & (ii) ARE (8x - 3) & 2(3x + 1).

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What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y = 4? f(x) = one fourth (x − 3)2 + 1 f(x)
mina [271]
 Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|

Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5

Required answer is f(x) = one fourth (x - 3)^2 + 5
8 0
3 years ago
This is the homework question (Please see picture). If my X and Y's are correct how do I graph it?
Nataliya [291]

Answer:

to graph it. make a horizontal line for the x axis and a vertical line for the y axis and place your coordinate points were the are supposed to be and label them.

Step-by-step explanation:

  • Make the y and x axis.
  • label the coordinate points.
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The coordinate points(3,7) means that 3 would be on the horizontal line and 7 would be on the vertical line meaning the coordinate point(3,7) would be located were the two numbers meet.

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1. Draw a model to show 1/6. Then divide the model into twice as many parts to find an equivalent fraction.
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U have to times by 2 it will it will change 
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EastWind [94]

Answer: .9

Step-by-step explanation:

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Read 2 more answers
The slope of the line that contains the points (2, 14) and (3, 20) is 6. What is the y-intercept?
boyakko [2]

Answer:

B. 2 [0, 2]

Step-by-step explanation:

Plug the coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:

20 = 6[3] + b

18

2 = b

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__________________________________________________________

14 = 6[2] + b

12

2 = b

y = 6x + 2

** You see? I told you that it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

8 0
3 years ago
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