Answer:
(x +1)^2 +(y +0.5)^2 = 22.25
Step-by-step explanation:
The center of the circle is the midpoint of the diameter, so is ...
(h, k) = ((-5, -3) +(3, 2))/2 = (-5+3, -3+2)/2 = (-1, -1/2)
The circle formula is then ...
(x -h)^2 +(y -k)^2 = r^2
(x -(-1))^2 +(y -(-1/2))^2 = r^2
We can find r^2 by substituting one of the points for (x, y).
(3 +1)^2 +(2 +1/2)^2 = r^2 = 16 +6.25 = 22.25
Then the circle equation is ...
(x +1)^2 +(y +0.5)^2 = 22.25
Answer:
1 7/8 and 5/4
Step-by-step explanation:
when you multiply them together you get
2 11/32
The <u>correct answers</u> are:
16) Mean = 10.25; Median = 10; Range = 17
17) The range.
18) 10
19) 5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.
Explanation:
16) To find the <u>mean</u>, we first find the sum of the data values in the set:
5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.
Next we divide this sum by the number of data points, 24:
246/24 = 10.25.
The <u>median</u> is the middle point of a data set. Since there are 24 points, this will be between two values. These two values are 10 and 10; the median is 10.
The <u>range </u>is found by subtracting the highest and lowest values:
22-5 = 17.
17) The <u>mean </u>is changed; the sum of the data values is 246. Taking 22 out of this, the sum is now 223, and we have 23 data points instead of 24; 223/23 = 9.7 for the new mean.
The <u>median </u>does not change; it is still 10.
The <u>range</u> changes; the highest value is now 15, and the lowest is 5: 15-5=10. The range is changed the most.
18) The <u>mean is affected</u> by the outlier and the <u>median is not</u>, so we use the <u>median</u>. This means the answer is 10.
19) The expression for the total number of cars sold is found by adding together all of the points.
Answer : A
We need to simplify the given expression
Lets factor numerator first
=(2x+1)(x-3)
=(x+5)(x+3)
Now we factor the denominator
=(x+5)(x-4)
=(2x+1)(x-4)
Now we simplify it
Now cancel out same factors. so we left with
Now multiply the factors
