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motikmotik
3 years ago
13

Convert (-6, -6) from Cartesian coordinates to polar coordinates. Round the length to the nearest 0.01 Express the

Mathematics
1 answer:
Neko [114]3 years ago
3 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.

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5 0
3 years ago
Translate this sentence into an equation.
motikmotik

Answer:

g = 61.

Step-by-step explanation:

g + 9 = 70             Subtract 9 from both sides of the equation:

g + 9 - 9 = 70 - 9

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4 years ago
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8 0
3 years ago
Can someone please help me answer this??
rewona [7]
<h3>Answer:  x = (y-2)^2 + 5</h3>

In other words, y-2 goes in the first box and 5 goes in the second box.

=================================================

Work Shown:

y^2 - 4y - x + 9 = 0

y^2 - 4y + 9  = x

x = y^2 - 4y + 9

x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5

x = (y^2-4y+4) + 5

x = (y-2)^2 + 5  .... apply the perfect square factoring rule

So we'll have y-2 go in the first box and 5 goes in the second box

note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.

4 0
3 years ago
Read 2 more answers
Morton needs to have his car repaired. The auto repair shop charges a fixed dollar amount for labor, plus another dollar amount
Mrrafil [7]

The y-intercept of the function is $50 and it represents the fixed amount for the labor charges.

<h3>How to find the y-intercept of a graph?</h3>

From the attached graph, we see that the x-axis is represented by time in hours while the y-axis is represented by labor charges in dollars.

Now, from the graph we see that the coordinates are;

(0, 50), (1, 125), (2, 200), (3, 275), (4, 350)

Now, the y-intercept of a linear graph is simply the point at which the graph crosses the y-axis.

In this graph attached, we see that the y-intercept is at the coordinate (0, (0, 50).

Thus, we conclude that  the y-intercept of the function is $50 and it represents the fixed amount for the labour charges.

Read more about y-intercept at; brainly.com/question/26509774

#SPJ1

4 0
2 years ago
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