Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).
Yes use a number line cuz it'll help you
Answer:
I think it is 12 4/5
Step-by-step explanation:
hope this helps if not let me now
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.
I believe it would be 4
This is because when divided by 3, 3x+12y=3 turns into x+4y=3
