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-BARSIC- [3]
4 years ago
14

What is the radius of the circle defined by x2 + 2x + y2 + 6y − 39 = 0? 49 9 7 81

Mathematics
2 answers:
Bond [772]4 years ago
7 0

radius = 7

the equation of a circle in standard form is

(x-a)² + (y-b)² = r²

where (a, b) are the coordinates of the centre and r is the radius

To obtain this form ' complete the square ' on both the x and y terms

x² + 2(1)x + 1 + y² + 2(3)y + 9  = 39 + 1 + 9

(x+1)² + (y+3)² = 49 ← in standard form

with centre (1, 3) and r = √49 = 7



zepelin [54]4 years ago
6 0

Answer:

7 units

Step-by-step explanation:

(h,k) = (-2/2, -6/2) = (-1,-3)

(-1)² + (-3)² - (-39) = r²

49 = r²

r = 7

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Isaac played a video game 20 times and wont about 70% of the games. how many games did he win
skelet666 [1.2K]
Hello!

We know that Isaac played 20 games and won about 70% of them. Now, we must find what 70% of 20 is, so that we know how many games Isaac won.

First, convert the percentage to a decimal by dividing it by 100.

70% ÷ 100 = 0.70

Next, multiply the total amount of games Isaac played (20) by about how many he won (0.70):

20 × 0.70 = 14

ANSWER:

Isaac won about 14 games.
4 0
3 years ago
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Find the lateral area of a rectangluar prism with ?
NikAS [45]

Answer:

40 Squared units

Step-by-step explanation:

A=2*2*4+2*2*6=40

4 0
3 years ago
Help help help please!
meriva
For the first one it is 4n^2-4
6 0
3 years ago
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What is the slope of these two equations?
Juli2301 [7.4K]

Answer:

8. 0

9. undefined

Step-by-step explanation:

8. 0

> because the y variable is the same for all x-values, this is a horizontal line. Horizontal lines have a slope of 0.

  > <em>Thinking of slope as rise over run: we will always rise 0, and run __ from any two points--0 divided by any number is always 0</em>

9. undefined

> because the x variable is always the same, no matter what y variable we graph, we will have the same outcome. So, this would look like a straight line, which have an undefined slope.

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<em />

<em />

hope this helps!! have a lovely day :)

3 0
2 years ago
Please choose any two and help me answer i will be very grateful and will mark you brainliest
ehidna [41]

Answer:

18 and 20, 4

Step-by-step explanation:

Math reasoning 1:

Set the first number as x and the other one as x+2 because it is a consecutive even number.

x+x+2=38

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18+2=20

The 2 consecutive numbers are 18 and 20

Problem solving 1:

Write out equation first, set the unknown number as x

5+x=9

x=4

4 0
3 years ago
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