Y = 4x + 3
2 answers:
Answer:
Perpendicular.
D is the correct option.
Step-by-step explanation:
The given equations are
The slope intercept form of a line is given by
Here, m is the slope and b is the y intercept.
Comparing given equation with slope intercept form of the line
Slope of first line = 4
Slope of second line = -1/4
These two slopes are not equal hence, lines are not parallel.
We can see that -1/4 is the negative reciprocal of 4. Since.
We know that the slopes of perpendicular lines are negative reciprocal of each other.
Hence, the lines are perpendicular.
D is the correct option.
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<h3>Answer: 42 = 2*3*7</h3>
Explanation:
Here is list of the first few primes = {2, 3, 5, 7, 11}
Divide 42 over the smallest prime 2 and we get
42/2 = 21
This shows that 2 is a factor (since we get a whole number result).
We don't have another factor of 2 because 21/2 = 10.5 isn't a whole number. But 3 is a factor because 21/3 = 7
Ultimately the numbers 2, 3 and 7 are factors of 42. They are the only prime factors and there's only one copy of each.
42 = 2*3*7
Check out the diagram below. It shows two different ways to generate a factor tree for the number 42.