You should know that you can predict changes in coordinates after translations without a graph or anything like that.
(x, y) reflected over the x axis = (x, -y)
(x, y) reflected over the y axis = (-x, y)
(x, y) rotated 90 degrees around the origin = (y, -x)
(x, y) rotated 180 degrees around the origin = (-x, -y)
(x, y) rotated 270 degrees around the origin - (-x, y)
So here's our set of points.
A(1, 2), B(4, 6), C(4, 6)
Here's those points reflected over the x axis.
A'(1, -2), B'(4, -6), C'(4, -6)
And here's <em>those</em> points rotated 180° around the origin.
A''(2, -1), B''(6, -4), C''(6, -4)
I think you made a mistake writing down the question, though, because B and C are the same yet you say ABC forms a triangle. You should be able to go through this process with whatever the coordinate was supposed to be.
Let's assume that you are to graph the inequality.
1. Graph -3x + 4y = 12. Note that the x-intercept is (-4,0) and the y-intercept is (0,3). Use a dashed line, not a solid line, due to the ">" sign.
2. Choose a test point (e. g., (0,1) ) and subst. these coordinates into -3x + 4y = 12. Is the equation then true or false? If true, shade the area (on one side of -3x + 4y = 12 or the other) in which the test point (0,1) lies. If false, shade the other side of -3x + 4y = 12.
Answer:
The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.
Step-by-step explanation:
Answer:
Yes, She is
Step-by-step explanation:
There are 36 possible outcomes of rolling two dice cubes once. For every roll, the probability that she would get the sum of 3 twice. So for 75 rolls, The probability of getting a sum of 3 = 2 * 75 = 150
