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Yakvenalex [24]

3 years ago

12

Circle O is centered at (5,−15) and point A(2,−14) lies on ⨀O.

1 answer:

givi [52]3 years ago

6 0

Answer:

(5−6)2+(−15+12)2=(5−2)2+(−15+14)2

Step-by-step explanation:

Circle equation is : (x -h)^2 + (y - k)^2 = r^2

center (h, k) = (5, -15)

r = Distance from (5, -15) to point A (2, -14)

r = root ( (5 - 2)^2 + (-15 - (-14))^2 )

r = root ( 3^2 + 1^2)

r = root(10)

Equation is (x - 5)^2 + (y + 15)^2 = 10

Check point P(6, -12)

(6 - 5)^2 + ( (-12) + 15 )^2 check if this equals 10

1^2 + 3^2 = 1 + 9 = 10, 10 = 10 good

It is the same as using the equation:

(5−6)2+(−15+12)2=(5−2)2+(−15+14)2

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LenaWriter [7]

Answer:

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Step-by-step explanation:

6 0

3 years ago

Deductive reasoning is reasoning based on:

Ira Lisetskai [31]

Accepted properties, laws, and definitions

3 0

3 years ago

What are the next 3 numbers in this pattern of integers -2, -1, -1, 0, -1, 1, -2

sashaice [31]

Answer:

The next 3 numbers to the given pattern of integers is -2,-1,-1,0,-1,1,-2 are 3,-5,8

Step-by-step explanation:

Given pattern of integers is -2,-1,-1,0,-1,1,-2

To find their next 3 numbers of the given pattern :

Let $a_{1}=-2$

$a_{2}=-1$

$a_{3}=a_{1}-a_{2}$

$=-2-(-1)$

$=-2+1$

Therefore $a_{3}=-1$

$a_{4}=a_{2}-a_{3}$

$=-1-(-1)$

$=-1+1$

Therefore $a_{4}=0$

Similarly we have $a_{5}=-1$ , $a_{6}=1$ , $a_{7}=-2$

The general form to the given pattern is

$a_{n}=a_{n-2}+a_{n-1}$ for $n={\{1,2,3,4,5,6,7,8,9,10}\}$

Therefore to find the $a_{8},a_{9},a_{10}$

Put n=8 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{8}=a_{8-2}-a_{8-1}$

$=a_{6}-a_{7}$

$=1-(-2)$

$a_{8}=3$

Put n=9 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{9}=a_{9-2}-a_{9-1}$

$=a_{7}-a_{8}$

$=-2-(3)$

$a_{9}=-5$

Put n=10 in $a_{n}=a_{n-2}-a_{n-1}$

$a_{10}=a_{10-2}-a_{10-1}$

$=a_{8}-a_{9}$

$=3-(-5)$

$a_{10}=8$

Therefore the next 3 numbers are 3,-5,8

4 0

3 years ago

A bag contains 6 red marbles, 6 white marbles, and 4 blue marbles. Find P (red or blue)

AnnyKZ [126]

The answer is B.

If there are 6 red marbles, 6 white marbles, and 4 blue marbles, then there are 16 marbles total. To find the probability (P) of either the red or blue marbles, you will add together the number of red and blue marbles, and divide that by the total:

(6 + 4) / (6 + 6 + 4)
10/14

This fraction can further reduce to 5/8 (by dividing both the numbers by 2).

6 0

3 years ago

What is the sum of 1015 and 119?

Flura [38]

You'd likely find this problem easier if you'd write these two numbers on separate lines, one above the other:

1015
+119
-------
1134

6 0

3 years ago