Answer: (4,2)
Step-by-step explanation:
When a point is reflected over the x axis, only the x value changes to the opposite sign (positive or negative). The y value doesn’t change.
Answer:
28.26
Step-by-step explanation:
the equation for circumference is 2pi*r or pi*d
3.14*9 (the diametre) is 28.26
Answer 28.26
Answer:
3( n +
)² -
= 0
Step-by-step explanation:
3n² = 6 - 17n ⇔ 3n² + 17n - 6 = 0
3( n² + 2 ×
n + (
)² - (
)² - 2 ) = 0
3( n +
)² - 3 ×
- 6 = 0
3( n +
)² -
= 0
9514 1404 393
Answer:
(8.49; 225°)
Step-by-step explanation:
The angle is a 3rd-quadrant angle. The reference angle will be ...
arctan(-6/-6) = 45°
In the 3rd quadrant, the angle is 45° +180° = 225°.
The magnitude of the vector to the point is its distance from the origin:
√((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49
The polar coordinates can be written as (8.49; 225°).
_____
<em>Additional comment</em>
My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.