Determine which of the following transformations are linear transformations. a. the transformation tt defined by t(x1,x2,x3)=(x1,x2,−x3)t(x1,x2,x3)= (x1,x2,−x3) b. the transformation tt defined by t(x1,x2,x3)=(x1,0,x3)t(x1,x2,x3)=(x 1,0,x3) c. the transformation tt defined by t(x1,x2,x3)=(1,x2,x3)t(x1,x2,x3)=(1 ,x2,x3) d. the transformation tt defined by t(x1,x2)=(2x1−3x2,x1+4,5x2)t(x1,x2) =(2x1−3x2,x1+4,5x2). e. the transformation tt defined by t(x1,x2)=(4x1−2x2,3|x2|)t(x1,x2)=(4 x1−2x2,3|x2|).

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

kayla would of sent 8

step-by-step explanation: