Answer:
y = 2
Step-by-step explanation:
3y - 4 = 6 - 2y
+2y +2y
5y - 4 = 6 (new equation)
+4 +4
5y = 10 (new equation)
/5 /5
y = 2
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°).
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<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.
Negative. It’s the only one that makes since. ( probably)
Answer:
slope: ½
y-intercept: -4½
Step-by-step explanation:
Slope: negative reciprocal of -2
-1/-2 = 1/2
y = ½x + c
-6 = ½(-3) + c
-6 = -3/2 + c
c = -6 + 3/2
c = -9/2 = -4½