The answer is 65 degrees. hope this helps :)
11!/24 permutations can be made of the letters of the following word "PROPOSITION" when taken all at a time by using the permutation formula. This problem can be solved using the permutation formula (Total number of the alphabet)!/(repetition of P letter)!(repetition of O letter)!(repetition of I letter)! resulting in 11!/2!*3!*2! = 11!/24. Permutation is a term used for describing the method for arranging all members of some set into some sequence or order and in this problem, letter P, letter R, letter O, letter S, letter I, and letter N are the members of the set and the combination of these letters is the sequence or order<span>.</span>
The general equation of a given circle is ![x^{2} +y^{2} +2x+6y+9=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2B2x%2B6y%2B9%3D0)
Given a plot of the circle in the X-Y plane, The center of circle has the coordinates ( -1, -1) and the circle is passing through (-1 ,-4) and (-1 ,-2) and (-1 ,-4) , (-1 ,-2) are coordinates of diametrically opposite ends of circle
If there are two points on a circle (x₁, y₁) and (x₂, y₂) that are at opposite ends of the same diameter, then the circle's equation can be written as
(x-x₁)(x-x₂)+(y-y₁)(y-y₂)=0
Given x₁= -1 , x₂ = -1 , y₁= -4 , y₂= -2
The circle's equation can be written as ( x+1)(x+1) + (y+4)(y+2)
⇒![x^{2} +1+2x+y^{2} +6y+8=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B1%2B2x%2By%5E%7B2%7D%20%2B6y%2B8%3D0)
⇒![x^{2} +y^{2} +2x+6y+9=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2B2x%2B6y%2B9%3D0)
Therefore,
is the general equation of circle.
Hence,The general equation of a given circle is ![x^{2} +y^{2} +2x+6y+9=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2B2x%2B6y%2B9%3D0)
Learn more about circle here:
brainly.com/question/11833983
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Answer:
Step-by-step explanation:
7) m + 6 > 17
m > 17- 6
8. 500 + p > 1500
9. Let cost of pencil be 'x' and it is 5 less than y
x < y -5
Cost of pencil and ruler is less than $ 30.
x + y < 30
10. r + 5 > 17
r > 17 - 5
r > 12
12.She is spending $ x. So, we have to subtract from $10.
10 -x < 5
Answer:
the trapiezium
Step-by-step explanation:
It has a area of 4 which is the highest