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devlian [24]
3 years ago
10

Help please os of álgebra

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

Answer:

(11, 11)

Step-by-step explanation:

Solve by substitution:

1. set the equations equal to each other

3x-22=-x+22

2. simplify

4x-22=22\\4x=44\\x=11

3. substitute the value of x into an equation

y=3(11)-22\\y=33-22\\y=11

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Write a translation rule that maps point D(7, −3) onto point D'(2, 5).
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Answer:

The translation rule is described by D'(x,y) =(x-5,y+8).

Step-by-step explanation:

According to Linear Algebra, a translation consists in sum a given vector (original point in this case) with another vector (translation vector). We can define translation as follows:

D'(x,y) = D(x,y) +U(x,y) (Eq. 1)

Where:

D(x,y) - Original vector with respect to origin, dimensionless.

D'(x,y) - Translated vector with respect to origin, dimensionless.

U(x,y) - Translation vector with respect to original vector, dimensionless.

From (Eq. 1) we get that translation vector is:

U(x,y) = D'(x,y)-D(x,y)

If we know that D(x,y) = (7,-3) and D'(x,y) =(2,5), then the translation vector is:

U(x,y) = (2,5)-(7,-3)

U(x,y) = (-5,8)

And we find the translation rule by assuming that D(x,y) = (x,y) and U(x,y) = (-5,8) in (Eq. 1):

D'(x,y) = (x,y)+(-5,8)

D'(x,y) =(x-5,y+8)

The translation rule is described by D'(x,y) =(x-5,y+8).

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3 years ago
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Step-by-step explanation:

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