3(x+6)=2(4x+14) what is the value of x?
2 answers:
Hi there! ~
So to start off, we are trying to find the value of x. This is a lot different then just "replacing x with the given value" as we have previously done. So lets get started ~
• Our first step is going to be to distribute our problem.
We have; (Putting these in parenthesis)
3(x+6) = 2(4x + 14)
↓ ↓ ↓ ↓ ↓ ↓
(3)(x) + (3)(6) = (2))4x) + (2)(14)
↓ ↓ ↓ ↓ ↓ ↓
3x + 18 = 8x + 26
• Now we need to subtract "18" by both sides of the given equation.
-5x + 18 - 18 = 28 - 18
28-18 = 10
-5x = 10
↓ ↓ ↓ ↓ ↓
• Now we need to divide both of our sides by -5, to get our final and foremost answer.
And with that we get our final answer; x = -2
So to start off, we are trying to find the value of x. This is a lot different then just "replacing x with the given value" as we have previously done. So lets get started ~
• Our first step is going to be to distribute our problem.
We have; (Putting these in parenthesis)
3(x+6) = 2(4x + 14)
↓ ↓ ↓ ↓ ↓ ↓
(3)(x) + (3)(6) = (2))4x) + (2)(14)
↓ ↓ ↓ ↓ ↓ ↓
3x + 18 = 8x + 26
• Now we need to subtract "18" by both sides of the given equation.
-5x + 18 - 18 = 28 - 18
28-18 = 10
-5x = 10
↓ ↓ ↓ ↓ ↓
• Now we need to divide both of our sides by -5, to get our final and foremost answer.
And with that we get our final answer; x = -2
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Question says to draw a polygon with the given conditions in a coordinate plane. It is talking about Rectangle with perimeter of 20 units.
So we can use formula of perimeter of rectangel to find it's possible dimensions.
We knwo that perimeter of the rectangle is given by 2(L+W)
where L is lenght and W is width.
Given perimeter is 20 so we get:
2(L+W)=20
L+W=10
L=10-W
So basically we can use any number for W which can be from 0 to 10 as side length can't be negative.
Let W=4
Then L=10-W=10-4=6
Hence we just have to draw a rectangle having length 6 and width 4.
So the final answer will be picture in the attached graph.
