The circle equation is in the format (x – h)² + (y – k)² = r², with the center being at the point (h, k) and the radius being "r".
QUESTION 11.
Equation x²+y²+10x-14y-7 =0 can be rewritten as: x²+10x+25 + y² -14y + 49 -7 - 25 - 49=0
It can be factories as (x + 5)² + (y – 7)² = 9²
Therefore the radius equals 9 and the center is (-5,7)
QUESTION 12.
From equation (x + 4)² + y² = 121
The radius equals √121 = 11 and the center is (-4,0)
QUESTION 13.
As there are missing information in the question, I can't assist. However, you can use the general circle equation (x – h)² + (y – k)² = r² to solve the question.
Finally equations 14 & 15 aren't linear.
Hope that helps you :)
First, you add them all together, and divide them by the number of quantities there are, so:
9+9+8+11+11+12+12+8= <span>80. Then you divide it by 8 (how many numbers there are) to get 10!</span>
Given:
The point is B(2,5) and its image is B'(1,2.5).
To find:
The scale factor.
Solution:
If a figure is dilated by the scale factor k and (0,0) is the center of then the scale factor is defined as

x-coordinate of point B' is 1 and the x-coordinate of point B is 2. So, the scale factor is

Therefore, the scale factor is
and the correct option is D.
Look in the "attended" column and in the "improved" row.
You see the numeral 39?
The <span>probability that "the player attended the game AND improved is 39/100, where 100 is the total number of players.
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