Answer:
(x + 1)^2 + (y - 1)^2 = 74
Step-by-step explanation:
By looking at the graph, we can see the center of the circle is (-1, 1).
Next, we can find the radius. We are given the point (6, -4) is on the circle. The distance from the center to a point on a circle is the radius. We can plug the points (-1, 1) and (6, -4) into the distance formula to get the radius:
r = √([-1-6]^2 + [1-(-4)]^2)
r = √(49 + 25)
r = √74
The equation of a circle is denoted in the form:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can plug in the values we calculated:
(x + 1)^2 + (y - 1)^2 = 74
Answer:
2 units
Step-by-step explanation:
Since a reflection doesn't change the angle or line segment measurements, Triangle A'B'C' will be congruent to Triangle ABC. Therefore, segment AB would be equivalent to segment A'B' and since segment AB=2 units, segment A'B' would equal 2 units as well.
Answer:
Option C is correct. Option f is the same as option C
Step-by-step explanation:
From the question, There are three high schools in the district, each with grades between nine to twelve. The school board decided to pool all of the students together and randomly samples 250 students in the whole district that has schools between the grade of nine to twelve.
In order to test for high school students in the district for Attention Deficit disorder(ADD), they could have chosen any 250 students from any school with grades betweem nine to twelve throughout the district.
Answer:

Step-by-step explanation:
Given the expression






Thus,

Answer:
D
Step-by-step explanation:
2/4 is equal to 1/2
3/6 is also equal to 1/2
thus the two fractions are equivalent