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)
Hello!
Tangent lines have only one point on the circle, meaning they form straight angles with the edge of the circle. The radius goes from the center of the circle to the point where the tangent line is on circle, creating a right angle.
Answer:
90°
Answer:
504 different ways
Step-by-step explanation:
There are 9 people competing
9 Different people can come in 1st
We have a winner
Now there are only 8 people left to come in second
8 different people can come in 2nd
There is 1 second place winner
Now there are only 7 people left to come in second
7 different people can come in 3rd
9*8*7 =504
There are 504 different ways
Circumference = 2 * PI * radius
Circumference = 2 * 3.14159265 * 63
Circumference = 395.841
Answer:
see explanation
Step-by-step explanation:
differentiate using the power rule.
( a
) = na
, thus
(x² - x + 3 ) = 2x - 1
x = 5 → 2(5) - 1 = 10 - 1 = 9
To find the value of x for minimum , equate to zero
2x - 1 = 0 , then
2x = 1 and
x = 
