Best Answer:<span> </span><span>I'll make one up and explain how to do it.
Lets say your two points are (2,6) and (-4,7)
To start with you need to use the point-slope formula which is y2-y1/x2-x1
Remember (x,y), Thus we have
7-6/-4-2 = 1/-6; So out slope is -1/6
Now lets use the following equation y = mx+b to solve for b which is the y-intercept. By substitution of either order pair we can solve for b
6 = 2(-1/6)+b; distribute the 2
6 = -2/6+b; add 2/6 to each side to isolate b
6+2/6 = b; put 6 over 1
6/1+2/6 = b; get a common denominator between 6/1 and 2/6 which is 6
6(6/1)+2/6 = b ; distribute
36/6+2/6 = b; add these up
38/6 = b; reduce to lowest terms by dividing by 2 to each
19/3 = b
So our final equation is y = -1/6x+19/3 </span>
Answer:
The common ratio is 4
Step-by-step explanation:
We need to divide a term by the previous term to find the common ratio in a geometric sequence:
64 ÷ 16 = 4
256 ÷ 64 = 4
By doing it twice we can confirm that the common ratio is 4
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.
Answer:
Yes!
Step-by-step explanation:
Besides 15 and one, 3 and 5 are the greatest common factors of 15. Those numbers are therefore divisible by any product of 15.
Example:
45
45/3 = 15
45/5 = 9
45/15 = 3
