What are the new vertices of triangle ABC if the triangle is translated three units to the right and then three units downward? A)

A′ = (–3,–1), B′ = (2,0), C′ = (–1,–6)

B)

A′ = (0,2), B′ = (5,3), C′ = (2,–3)

C)

A′ = (–1,0), B′ = (4,1), C′ = (1,–5)

D)

A′ = (0,–1), B′ = (5,0), C′ = (2,–6)

29 is the correct answer

step-by-step explanation:

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

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