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LUCKY_DIMON [66]
2 years ago
14

Write a two-column proof.

Mathematics
1 answer:
Alex2 years ago
5 0

Refer to the attachment!

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Graph the circle (x+6)^2 + (y+5)^2 =9
Andrei [34K]

Answer:

This a circle centered at the point (-6,-5), and of radius "3" as it is shown in the attached image.

Step-by-step explanation:

Recall that the standard formula for a circle of radius "R", and centered at the point (x_0,y_0) is given by:

(x-x_0)^2+(y-y_0)^2=R^2

Therefore, in our case, by looking at the standard equation they give us, we extract the following info:

1)  R^2 = 9\,\,\,then\,\,\,R=3  since the radius must be a positive number and (R=-3) is not a viable answer.

2) x_0=-6    for ( x-x_0) to equal   (x+6)

3) y_0=-5    for ( y-y_0) to equal   (y+5)

Therefore, we are in the presence of a circle centered at the point (-6,-5), and of radius "3". That is what we draw as seen in the attached image.

5 0
3 years ago
Abby owns a comic book that originally sold for 12¢ in 1969. In 2014, the comic book had an appraised valued of $3,700. Given th
Trava [24]

Hi,

Answer: B) 25.82%

<u>My work:</u> For this problem you can easily achieve this problem (Preferably with a caculator) by taking the date’s 2014 and 1969 the time of growth and subtract them. When you do this you get the answer 45. From there you you take 45 (With caculator) and multiply it with 25.82 % (To do this you take 25.82 and press 2nd, then the percent). When you do this you get 11.619 which rounded is 12; furthermore, which is your answer.

I Hope I Helped!

3 0
3 years ago
Which of the following represents the line of symmetry of the parabola represented by the equation x2 - 10x + 21 = 0?
bekas [8.4K]
The correct answer is 5
4 0
3 years ago
Read 2 more answers
Find the slope of the line
Inessa05 [86]

The two points (0,0) and (4,5) are on the line. The points are marked in blue in the attached image below.

Use the slope formula to get

m = (y2-y1)/(x2-x1)

m = (5-0)/(4-0)

m = 5/4  <----- this is the answer in fraction form

m = 1.25 <----- this is the answer in decimal form

The idea of the slope formula is we're subtracting the y values together, then subtracting the x values together in the same order, finally we divide the two results and reduce if possible to get the fraction form. Use long division or a calculator to find the decimal form of the fraction. In this case, the rise is 5 and the run is 4. Meaning we go up 5 units and over to the left 4 units to go from (0,0) to (4,5).

3 0
3 years ago
A B C or D you can only choose one ​
Vlada [557]

Answer: first one

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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