Use the Distributive Property to solve the problem. [Example: 4(6+3) = 4(6)+4(3) = 24 + 12 = 36] 9(8 + 4) (sorry for spamming these questions, its part of an assignment i HAVE to do well on to raise my horrible math grade)

please let me know if you need help on anything else.

4(6+3)=4(6)+4(3)=24+12=36.

multiply 4(6) and 4(3).

4x6=24 4x3=12

24+12=24+12=24+12=36

24+12=36

9(8+4)

72+36=108

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hope it helps

2x = 6

Step-by-step explanation:

Simplify the following algebraic expressions.

- 6x + 5 + 12x -6

2(x - 9) + 6(-x + 2) + 4x

3x2 + 12 + 9x - 20 + 6x2 - x

(x + 2)(x + 4) + (x + 5)(-x - 1)

1.2(x - 9) - 2.3(x + 4)

(x2y)(xy2)

(-x2y2)(xy2)

Solution

Group like terms and simplify.

- 6x + 5 + 12x -6 = (- 6x + 12x) + (5 - 6)

= 6x - 1

Expand brackets.

2(x - 9) + 6(-x + 2) + 4x = 2x - 18 - 6x + 12 + 4x

Group like terms and simplify.

= (2x - 6x + 4x) + (- 18 + 12) = - 6

Group like terms and simplify.

3x2 + 12 + 9x - 20 + 6x2 - x

= (3x2 + 6x2) + (9x - x) + (12 - 20)

= 9x2 + 8x - 8

Expand brackets.

(x + 2)(x + 4) + (x + 5)(- x - 1)

= x2 + 4x + 2x + 8 - x2 - x - 5x - 5

Group like terms.

= (x2 - x2) + (4x + 2x - x - 5x) + (8 - 5)

= 3

Expand and group.

1.2(x - 9) - 2.3(x + 4)

= 1.2x - 10.8 - 2.3x - 9.2

= -1.1x - 20

Rewrite as follows.

(x2y)(xy2) = (x2 x)(y y2)

Use rules of exponential.

= x3 y3

Rewrite expression as follows.

(-x2y2)(xy2) = -(x2 x)( y2 y2)

Use rules of exponential.

= - x3 y4

Simplify the expressions.

(a b2)(a3 b) / (a2 b3)

(21 x5) / (3 x4)

(6 x4)(4 y2) / [ (3 x2)(16 y) ]

(4x - 12) / 4

(-5x - 10) / (x + 2)

(x2 - 4x - 12) / (x2 - 2 x - 24)

Solution

Use rules of exponential to simplify the numerator first.

(a b2)(a3 b) / (a2 b3) = (a4 b3) / (a2 b3)

Rewrite as follows.

(a4 / a2) (b3 / b3)

Use rule of quotient of exponentials to simplify.

= a2

Rewrite as follows.

(21 x5) / (3 x4) = (21 / 3)(x5 / x4)

Simplify.

= 7 x

(6 x4)(4 y2) / [ (3 x2)(16 y) ]

Multiply terms in numerator and denominator and simplify.

(6 x4)(4 y2) / [ (3 x2)(16 y) ] = (24 x4 y2) / (48 x2 y)

Rewrite as follows.

= (24 / 48)(x4 / x2)(y2 / y)

Simplify.

= (1 / 2) x2 y

Factor 4 out in the numerator.

(4x - 12) / 4 = 4(x - 3) / 4

Simplify.

= x - 3

Factor -5 out in the numerator.

(-5x - 10) / (x + 2) = - 5 (x + 2) / (x + 2)

Simplify.

= - 5

Factor numerator and denominator as follows.

(x2 - 4x - 12) / (x2 - 2x - 24) = [(x - 6)(x + 2)] / [(x - 6)(x + 4)]

Simplify.

= (x + 2) / (x + 4) , for all x not equal to 6

Solve for x the following linear equations.

2x = 6

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

answer: it is d

step-by-step explanation: