To flip any of the points to map up correctly to the other points, you would have to do a reflection over the y-axis. The reasoning for this is because you cannot dilate your shape because it won't map over correctly. A translation will not work, mainly because the shape still needs to flip. A rotation will also not work because when you rotate it, the shape will still not map over your new one.
-So your answer to this question would be that only a Reflection over the y-axis will allow the two shapes to map over each other correctly.
Answer:
v See below. v
Step-by-step explanation:
LM = MN
11x - 21 = 8x + 15
x = 12
LM = 11(12) - 21 = 132 - 21 = 111
MN = 8(12) + 15 = 96 + 15 = 111
LN = 111 + 111 = 222
Answer: Y=-5x+30
Step-by-step explanation:
First, you have to find the slope of graph so you find the rise over run Y/X. Since the X values are being measured by 1’s, and the Y values are being measure by 5’s, your slope would be -5 (not 5 as the graph line is decreasing therefore it is negative). To find b, you find the Y intercept of the graph (where Y is when X=0) and in this case, the y intercept is 30. So the equation that describes what is occurring in the graph is Y=-5x+30 as a linear equation is written as Y=mx+b. You can check If the equation is correct by substituting the x and y values of a specific coordinate point on the graph. For example: 25= -5(1)+30. This gives you 25=25 so the equation is correct.
Answer:
5cm = r
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
78.5 = 3.14 r^2
Divide each side by 3.14
78.5/ 3.14 = r^2
25 = r^2
Take the square root of each side
sqrt(25) = sqrt(r^2)
5 = r
Answer:
The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
In this question:
CI is between 0.645 and 0.842. So the best estimate of the proportion is:
(0.645+0.842)/2 = 0.7435
The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.
