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gayaneshka [121]
3 years ago
14

If r1 , r2 , and r3 represent rotations from Dn and f 1 , f 2 , and f 3 represent reflections from Dn , determine whether r1 r2

f 1 r3 f 2 f 3 r3 is a rotation or a reflection.
Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Answer:

It is reflection

Step-by-step explanation:

We know these three rules:

-a rotation followed by a rotation is a rotation

-a reflection followed by a reflection is also a rotation

-a rotation folowed by a reflection is a reflection

So we have: f3r3 is f (reflection)

f2 f is r (reflection)

r3 r is r

f2 r is f

r2 f is f

r1 f is f

So,  r1r2f1r3f2f3r3 is reflection.

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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S
Harman [31]
ANSWER

y =  \frac{3}{2} x + 8



EXPLANATION

The line given to us has equation,

2x + 3y = 9

We need to write this equation in the slope intercept form to obtain,


3y =  - 2x + 9



\Rightarrow \: y =  -  \frac{2}{3}x + 3


The slope of this line is

m_1 =  -  \frac{2}{3}
Let the slope of the perpendicular line be

m_2

Then
m_1 \times m_2 =  - 1


-  \frac{2}{3} m_2=  - 1

This implies that,

m_2 =  - 1 \times  -  \frac{3}{2}


m_2 =  \frac{3}{2}



Let the equation of the perpendicular line be,

y = mx + b

We substitute the slope to get,


y =  \frac{3}{2} x + b

Since this line passes through
(-2,5)
it must satisfy its equation.


This means that,

5=  \frac{3}{2} ( - 2)+ b


5 =  - 3 + b



5 + 3 = b


b = 8

Wherefore the slope-intercept form is

y =  \frac{3}{2} x + 8
6 0
3 years ago
A rectangle is 1/2 ft long and 3/4 ft wide.
Alex17521 [72]
Area = Length * Width
A = 1/2 * 3/4
A = 3/8

In short, Your Answer would be 3/8 Ft^2

Hope this helps!
8 0
3 years ago
Read 2 more answers
0.04x -0.06y=0.48<br> 0.08x-0.11 y=0.92
UkoKoshka [18]

Answer:

0.04x -0.06y=0.48

x = 1.5y + 12

0.08x-0.11 y=0.92

x = 1.375y + 11.5

Hope this helps!

6 0
3 years ago
Jacintas teacher asks her to find the tangent of angle y. what is her error
LenaWriter [7]

Answer:

what is her error?

Step-by-step explanation:

8 0
3 years ago
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¿Can i get the answer?
NikAS [45]

Answer:

15.7

Step-by-step explanation:

5 x 3.14(pi) = 15.7

3 0
2 years ago
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