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Readme [11.4K]
3 years ago
9

. Center at (-4,-1), radius = 2​

Mathematics
1 answer:
valkas [14]3 years ago
6 0

Consider we need to find the equation of the circle.

Given:

The Center at (-4,-1), radius = 2​.

To find:

The equation of the circle.

Solution:

The standard form of a circle is

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

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=-4, k=-1 and r=2, we get

(x-(-4))^2+(y-(-1))^2=(2)^2

(x+4)^2+(y+1)^2=4

Therefore, the equation of the circle is (x+4)^2+(y+1)^2=4.

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Marina86 [1]

The total number of persons standing in the line waiting for ordering pizza are 5.

Explanation:

There are 5 people in total so the first place can be occupied by any of the 5 persons.

Secondly the second place in the line can be occupied by any of the 4 persons left.  

Then the third place will be occupied by any remaining 3 persons as the front two places are already occupied.

Similarly the fourth place will be taken by any of the remaining two people. And lastly the last place will b filled by the last remaining person.

So the total number of ways will be 5*4*3*2*1 = 120 ways that is given in the question.

5 0
3 years ago
If n and k are positive integers, is n divisible by 6 ? (1) n = k(k + 1)(k – 1) (2) k – 1 is a multiple of 3.
xz_007 [3.2K]

Answer: yes, it is

Step-by-step explanation:

A number is divisible by 6 if it is divisible by 2 and 3 simultaniously.

n = k(k+1)(k-1)

If k-1 is a multiple of 3, n is divisible by 3, so one of the requirements is ok.

Now, if k-1 is a multiple of 3, it can be even or odd.

if k-1 is even, then it is divisible by 2 and as it is divisible by 3 as well, n is divisible by 6

if k-1 is odd, then k and k+1 is even, hence, divisible by 2.

As n = k(k+1)(k-1), n is also divisible by 6.

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3 years ago
What is the congruence theorem used to prove that the two triangles are congruent?
natka813 [3]

Answer:

AAS, the two equal angles, the two right triangles, and the shared side

Step-by-step explanation:

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2 years ago
Use inverse operations to solve the equation. -5x=65
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