4 years ago

Solve each question and check your solution -2(3x-4)=4(x+3)+6

Mathematics

1 answer:

agasfer [191]4 years ago

8 0

Answer:

x = -1

Step-by-step explanation:

-2(3x-4)=4(x+3)+6

Distribute

-6x +8 = 4x +12 +6

Combine like terms

-6x +8 = 4x+18

Add 6x to each side

-6x+6x +8 = 4x+6x +18

8 = 10x+18

Subtract 18 from each side

8-18 =10x+18-18

-10 = 10x

Divide each side by 10

-10/10 = 10x/10

-1 =x

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The lengths of the four sides of a quadrilateral (in centimeters) are consecutive

My name is Ann [436]

The longest of the four side lengths is 24 cm

<h3>How to find the value of the longest of the four side lengths?</h3>

The given parameters are:

Perimeter, P = 90 cm

The lengths are consecutive integers

Let the smallest be

Smallest = x

So, we have

P = x + x + 1 + x + 2 + x + 3

Evaluate the like terms

P = 4x + 6

Substitute P = 90 cm in P = 4x + 6

4x + 6 = 90

Subtract 6 from both sides

4x = 84

Divide by 4

x = 21

The longest side is

Longest = x + 3

This gives

Longest = 21 + 3

Evaluate

Longest = 24

Hence, the longest of the four side lengths is 24 cm