Answer:
The image of the point is (1, 2)
Step-by-step explanation:
- If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)
- If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)
- If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)
Let us use the rules above to solve the question
∵ The point (-1, -2) is rotated 180° counterclockwise about the origin
→ By using the 2nd rule above change the signs of x and y coordinates
∴ Its image is (1, 2)
∴ The image of the point is (1, 2)
Answer:
The correct answer is choice 3
Step-by-step explanation:
80 - 80 = 0
bruh
The function is :
y = √(x-12), x≥12
To find the inverse function, we interchange x and y, and then make y the subject again.
So interchanging x and y we have:
x = √(y-12)
Squaring both sides gives;
x² = y-12
Now making y the subject we have,
y = x² +12
x≥0.
Therefore the inverse function is;
y = x² +12, x≥0.
Hence the correct answer is C.
Let William be x years old.
Thomas = (4 + x) years
In five years,
William = (x + 5) years
Thomas = 4 + x + 5 = (9 + x) years
Given, in five years sum of their ages is 24.
x + 5 + 9 + x = 24
2x + 14 = 24
2x = 24 - 14
2x = 10
x =
x = 5
Hence, William is 5 years old and Thomas is 9 years old.
