Solve for x: 4|2x − 2| + 10 = 34.
2 answers:
Remark
This will have 2 solutions. I will enclose a graph to show how it is done.
4|2x - 2| + 10 = 34 Subtract 10
Solution
4|2x - 2| = 34 - 10
4|2x - 2| = 24 Divide by 4
|2x - 2| = 24/4
|2x - 2| = 6
Solution 1
2x - 2 = 6 Add 2
2x = 6 + 2
2x = 8 Divide by 2
x = 8/2
x = 4
Solution 2
Make the 6 into - 6 and solve again
|2x - 2| = - 6
2x - 2= -6 Add 2 to both sides.
2x = - 6 + 2
2x = - 4 Divide by 2
x = - 4/2
x = - 2
Answer
There are 2 solutions
(-2,0) and (4,0) See the graph below.
This will have 2 solutions. I will enclose a graph to show how it is done.
4|2x - 2| + 10 = 34 Subtract 10
Solution
4|2x - 2| = 34 - 10
4|2x - 2| = 24 Divide by 4
|2x - 2| = 24/4
|2x - 2| = 6
Solution 1
2x - 2 = 6 Add 2
2x = 6 + 2
2x = 8 Divide by 2
x = 8/2
x = 4
Solution 2
Make the 6 into - 6 and solve again
|2x - 2| = - 6
2x - 2= -6 Add 2 to both sides.
2x = - 6 + 2
2x = - 4 Divide by 2
x = - 4/2
x = - 2
Answer
There are 2 solutions
(-2,0) and (4,0) See the graph below.
You might be interested in
Morse code is essentially the same as binary. That is, there are two "digits", a dot or a dash.
There are 26 letters in the English alphabet. Clearly, we can't just use one dot or dash, since that could only encode 2 letters at the most. We can't use two symbols because that could only encode 4 letters at the most. Similarly, 3 symbols means
letters at most.
We have to select the smallest power of 2 that exceeds or is equal to 26. In this case,
, so we would have to use up to 5 symbols to encode each letter in the alphabet.
There are 26 letters in the English alphabet. Clearly, we can't just use one dot or dash, since that could only encode 2 letters at the most. We can't use two symbols because that could only encode 4 letters at the most. Similarly, 3 symbols means
We have to select the smallest power of 2 that exceeds or is equal to 26. In this case,
Answer:
x = 1
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
Answer:
Height of the object is 68.6 cm.
Step-by-step explanation:
The height of the object can be determined by:
=
From the given question;
object distance from pinhole = 3.6 m = 360 cm
image distance from pinhole = 4.2 cm
height of image = 0.8 cm
So that;
=
⇒ object height =
=
= 68.571
object height = 68.6 cm
Thus, the height of the object is 68.6 cm.