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zepelin [54]
3 years ago
7

12 points for!

Mathematics
1 answer:
Kruka [31]3 years ago
7 0

Answer:

  (x, y) ⇒ (x -2, y +2)

Step-by-step explanation:

Reflection across the line y = x+2 has the effect of interchanging x and y and translating by (-2, 2).

Reflection across the line y = x+4 has the effect of interchanging x and y and translating by (-4, 4).

The composition of these transformations is then ...

  (x, y) ⇒ ((x +2) -4, (y -2) +4) = (x -2, y +2)

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3x-y+2=0 in rectangle form
kotegsom [21]

Complete Question:

Convert 3x-y+2=0 in rectangle form to polar form

Answer:

r ( 3cosθ - sinθ) = -2

Step-by-step explanation:

The equation so given is already in rectangular form, the task is to convert it to polar form.

3x - y + 2 = 0

To transform an equation from the rectangular to the polar coordinate:

x = r cosθ

y = r sinθ

Substitute the representations for x and y into the given equation:

3(r cosθ) - (r sinθ) + 2 = 0

3rcosθ - rsinθ = -2

The polar representation of the equation then becomes:

r ( 3cosθ - sinθ) = -2

8 0
3 years ago
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSss HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
goblinko [34]

Answer:Albert spent more on video games and 1/2>0.4

But Rosa spent more on pizza 2/5>.25

Step-by-step explanation: Rosa spent most of her allowance while Albert spent the least amount so Rosa spent more

5 0
2 years ago
Please explain how this digraph works.
dusya [7]

Angles XQL and MQR are congruent because they are vertical angles. So

209 - 13 <em>b</em> = 146 - 4 <em>b</em>

Solve for <em>b</em> :

209 - 13 <em>b</em> = 146 - 4 <em>b</em>

209 - 146 = 13 <em>b</em> - 4<em> b</em>

63 = 9 <em>b</em>

<em>b</em> = 63/9 = 7

Then the measure of angle XQL is

(209 - 13*7)º = 118º

3 0
3 years ago
. The volume of a box is 405 cubic units. The length is x units, the width 4 units greater than the length, and the height is 9
lukranit [14]

Answer:

length = 5

width = 9

Step-by-step explanation:

V = lwh

let 'x' = length

let '4+x' = width

9 = height

405 = 9x(4+x)

405 = 36x + 9x²

this is a quadratic equation:  9x² + 36x - 405 = 0

factor out a 9 to get:

9(x² + 4x - 45) = 0

9(x-5)(x+9) = 0

one root is 5 and the other is -9

since distance cannot be negative we use 5 as the length and 9 is the width

3 0
2 years ago
Wing
lesantik [10]
I honestly don’t understand
7 0
3 years ago
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