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s344n2d4d5 [400]
3 years ago
6

What is the reflection image of P(0, 0) after two reflections, first across x = 4 and then across y = -3?

Mathematics
2 answers:
user100 [1]3 years ago
8 0

Answer:

The reflection image of P(0, 0) after two reflections is P'(8,-6).

Step-by-step explanation:

The given point is (0,0).

If a point reflect across x = 4, then

(x,y)\rightarrow (-x+8,y)

(0,0)\rightarrow (-0+8,0)

(0,0)\rightarrow (8,0)

If a point reflect across y = -3, then

(x,y)\rightarrow (x,-y-6)

(8,0)\rightarrow (8,-0-6)

(8,0)\rightarrow (8,-6)

Therefore the reflection image of P(0, 0) after two reflections is P'(8,-6).

julia-pushkina [17]3 years ago
4 0
Across x = 4 -> (8,0)

Across y = -3 -> (8,-6)
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Which of the following equations has a graph that passes through (3, 3) and has a slope of −2?
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Answer:

y - y1 = m(x - x1)

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Step-by-step explanation:

Thie equation is in slope-intercept form (y = mx + b)

The y-intercept is -6 .... ((0, -6) is one point on the line.

It is given that (1, -3) is also on the line. So to graph, plot those

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3 years ago
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Find the measure of the missing value in the
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Answer:

12.6

Step-by-step explanation:

The two left sides have lengths, so this allows you to establish the ratio of the lengths of the sides of the triangles,

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ratio = 18 : w

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25w = 315

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Answer: 12.6

4 0
3 years ago
A cylindrical plastic pipe’s length is 12 cm and it’s radius is 2.5 cm. To the nearest tenth, what is the volume of the pipe?
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V = 235.6 cm³

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the formula for the volume of a cylinder of radius r and length h is

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2 years ago
I have no idea what the answers are
lara [203]

Hello from MrBillDoesMath!

Answer:

Top line: y = (2/3)x + 2

Bottom line:  y = (2/3)x  -1

Discussion:

The graph provided is hard to read but I did the best I could.

The top line appears to pass through the points (0,2) and (-3,0)

For this line

m =  change y /change x = (0-2)/(-3-0) = -2/-3 = +2/3. So

y = mx + b => y = (2/3) x+ b.  As the line passes through (0,2) set x = 0, y= 2 in y = (2/3)x + b =>  

2 = (2/3) 0 + b   => b = 2

Therefore    y = (2/3)x + 2

The bottom line appears to pass through the points (0,-1) and (3,1)

For this line

m =  change y /change x = (1-(-1)) /(3-0) = +2/-3. So

y = mx + b => y = (2/3) x+ b.  As the line passes through (0,-1) set x = 0, y= -1  in y = (2/3)x + b =>  

-1  = (2/3) 0 + b   => b = -1

Therefore    y = (2/3)x + -1

Thank you,

MrB

5 0
3 years ago
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