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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Answer:
The correct option is;
This statement is true
Step-by-step explanation:
The given transformation are;
1) Vertical translation, y units down
2) Horizontal translation x units right
Therefore, the equivalent transformation is
Whereby the coordinates of the of the point on the preimage with the largest y-coordinates are (a, b), we have;
The coordinate of the corresponding point on the image = (a + x, b - y)
Given that the value of b is larger than the the y-coordinates values of al the points on the preimage, therefore, the value of b - y, will be the largest of the y-coordinates values on the image