5x - 29.4 + 1/2x when x is 11/5

-17.3

Step-by-step explanation:

Evaluate 5 x + x/2 - 29.4 where x = 11/5:

5 x + x/2 - 29.4 = 5×11/5 - 29.4 + 1/2×11/5

Hint: | Express 5×11/5 as a single fraction.

5×11/5 = (5×11)/5:

(5×11)/5 - 29.4 + (11/5)/2

Hint: | Express (11/5)/2 as a single fraction.

(11/5)/2 = 11/(2×5):

(5×11)/5 - 29.4 + 11/(2×5)

Hint: | Cancel common terms in the numerator and denominator of (5×11)/5.

(5×11)/5 = 5/5×11 = 11:

11 - 29.4 + 11/(2×5)

Hint: | Multiply 2 and 5 together.

2×5 = 10:

11 - 29.4 + 11/10

Hint: | Approximate 11/10.

11/10≈1.1:

11 - 29.4 + 1.1

Hint: | Evaluate 11 + 1.1 using long addition.

| 1 | 1. | 0

+ | | 1. | 1

| 1 | 2. | 1:

12.1 - 29.4

Hint: | Factor out a negative sign in 12.1 - 29.4 in order to subtract.

12.1 - 29.4 = -(29.4 - 12.1):

-(29.4 - 12.1)

Hint: | Subtract 12.1` from 29.4`.

| 2 | 9. | 4

- | 1 | 2. | 1

| 1 | 7. | 3:

-17.3

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.