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3 years ago

Find the rule and complete the

Mathematics

1 answer:

serious [3.7K]3 years ago

5 0

Subtract m + ? from m:

11-7 = 4

12-8 - 4

16-12 = 4

21-17 - 4

All the differences are identical, so the rule is to add 4 to m.

The expression would be m + 4

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What’s the correct answer for this?

Anastasy [175]

Answer:

a) the co-ordinates of the center are (-3,4) and the length of the radius is 10 units

Center (h,k) = (-3 ,4) and radius 'r' = 10

Step-by-step explanation:

Step(i):-

Given circle equation is

$2 x^{2} +12 x+2 y^{2} -16 y-150 =0$

Dividing "2' on both sides, we get

$x^{2} +6 x+ y^{2} -8 y-75 =0$

Step(ii):-

now

$x^{2} +2(3x) + (3)^{2}-(3)^{2} +y^{2} -2 (4 y)+(4)^{2}-(4)^2 -75 =0$

by using (a+b)² =a²+2 a b+b²

(a-b)² =a²-2 a b+b²

$(x+3)^{2}-(3)^{2} +(y-4)^{2}-(4)^2 -75 =0$

$(x+3)^{2}-9 +(y-4)^{2}-16 -75 =0$

$(x+3)^{2} +(y-4)^{2}-100 =0$

$(x+3)^{2} +(y-4)^{2}=100$

$(x+3)^{2} +(y-4)^{2}=(10^2)$

by comparing

$(x-h)^{2} +(y-k)^{2}=(r^2)$

Final answer:-

Center (h,k) = (-3 ,4) and radius 'r' = 10

7 0

3 years ago

If 200 men can make a road 5 km long in 25 days ,how much overtime per day must 60 men can work to finish an road 2 km in 32 day

Sergeu [11.5K]

Answer:

Solution with step by step explanation is the image attached below

5 0

2 years ago

Which system of equations has one solution? –5x – 10y = 24 5x 10y = 16 3x 4y = –7 –3x – 4y = 7 –12x 8y = 16 12x – 8y = 16 –2x 7y

Olin [163]

The system of equation that has one solution is: (d) –2x+ 7y = –5 and 2x +7y = –9

<h3>What are systems of equations?</h3>

This is a group of equations which may have none, one or more solutions.

From the list of given options, the system of equations that has one solution is:

–2x+ 7y = –5 and 2x +7y = –9

This is so because, the solution is (-1,-1)

However, the other systems have infinite many solutions

Read more about system of equations at:

brainly.com/question/13729904

5 0

3 years ago

How do you make 188% into a fraction?

dezoksy [38]

188%=1.88= $\frac{47}{25}$
Mixed fraction+ $1 \frac{22}{25}$

3 0

3 years ago

Read 2 more answers

Can someone please help me ASAP❤️

Eddi Din [679]

38,320 (for positive scientific notation you move the decimal to the right how ever many places, so move the decimal 4 places to the right in this case)

4 0

3 years ago