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Goshia [24]
3 years ago
14

2x+6-12x=26 what is the x in this equation

Mathematics
1 answer:
Tasya [4]3 years ago
6 0

Answer: x=+2

Step-by-step explanation:2x-6=12x-26

We move all terms to the left:

2x-6-(12x-26)=0

We get rid of parentheses

2x-12x+26-6=0

We add all the numbers together, and all the variables

-10x+20=0

We move all terms containing x to the left, all other terms to the right

-10x=-20

x=-20/-10

x=+2

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Option A is correct

The only figure after composition of t_{0 , 3} (r_{0,90^{\circ}}) to figure R is Figure H

Step-by-step explanation:

From the given figure in R;

The coordinates in Figure R ;

(1 , -1) , (2, -2) ,(4, -2) ( 0, -4)

Composite function defined as when one function is substituted into another function.

To Apply the composition t_{0 , 3} (r_{0,90^{\circ}}) to figure R;

First apply the Reflection r_{0, 90^{\circ}} in Figure R;

The rule of reflection is given by:

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

By applying the rule of reflection in Figure R ,

then, the coordinates becomes;

(1 , -1) \rightarrow (1, 1)

(2 , -2) \rightarrow (2, 2)

(4 , -2) \rightarrow (2, 4)

(0, -4) \rightarrow (4, 0)

Now, apply the translation t_{0,3}

Translation : It is a type of transformation that moves each point in a figure the same distance in the same direction.

then,

the rule of translation is:

(x,y) \rightarrow (x+0,y+3)

Apply the rule of translation on coordinates (1,1) , (2,2),  (2,4) and (4,0)

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(1 , 1) \rightarrow (1+0 1+3) =(1,4)

(2, 2) \rightarrow (2+0 2+3) =(2, 5)

(2, 4) \rightarrow (2+0 4+3) =(2 ,7) and

(4, 0) \rightarrow (4+0 0+3) =(4 ,3)

Then, the only figure after composition of t_{0 , 3} (r_{0,90^{\circ}}) to figure R is Figure H





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