Answer:
x ≥ - 8
Step-by-step explanation:
Given
≥ - 4
Multiply both sides by 2 to eliminate the fraction
x ≥ - 8
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.
Answer:
Triangle B is right
Step-by-step explanation:
Using the converse theorem of Pythagoras.
If the square of the longest side in a triangle equals the sum of the squares of the other 2 sides then the triangle is right.
Triangle A
longest side squared = 36² = 1296
26² + 18² = 676 + 324 = 1000 ≠ 1296
Hence triangle A is not right
Triangle B
longest side squared = 25² = 625
20² + 15² = 400 + 225 = 625 ← correct
Hence triangle B is right
9 +3 = 12 students
9 are male
1st = 9/12 = 3/4
2nd = 8/11
3/4 * 8/11 = 6/11
Answer = D) 6/11
First problem:
cos (theta)=1
Using the inverse cosine function, you get theta = 0.
Now we find tan 0 = 0
cot(theta) = 1/tan(theta) = 1/0
Division by zero is undefined, so the answer is d. undefined
Second problem:
cos (theta)=1
Use the inverse cosine function.
theta = 0°
Answer: c. 0°
