The original line is
4x - 2y = -12
The parallel lines will all be
4x - 2y = constant
and the constant is given by the point directly:
4x - 2y = 4(4) - 2(-4) = 24
2y = 4x - 24
y = 2x - 12
Answer: y = 2x - 12
Answer:
4/5 - 3/10 is 0.5.
Step-by-step explanation:
You want to divide top and bottom (Whatever you do to one side do to the other) So start off dividing 5 by 10 which wil give you 0.5, next you want to divide 4 by 3 which gives a repeating decimal so youll use the whole decimal (0.5) as an answer
<h2>
Translating Words into Problems</h2>
We can translate a word equation into a mathematical equation by translating key words into operations.
- <em>difference</em> = subtract
- <em>is</em> = equals
<h2>Addinng Fractions</h2>
Whenever we need to add one fraction to another, we must find a common denominator, change both the fractions for their denominators to be the same, and then add the numerators. Finally, we reduce the fraction.
<h2>Solving the Question</h2>
We're given:
- The difference of n and
is
.
Translate the given information into an equation:
⇒ ![n-\dfrac{1}{6}=\dfrac{1}{2}](https://tex.z-dn.net/?f=n-%5Cdfrac%7B1%7D%7B6%7D%3D%5Cdfrac%7B1%7D%7B2%7D)
Solve for <em>n</em>:
⇒ ![n-\dfrac{1}{6}=\dfrac{1}{2}\\\\n=\dfrac{1}{2}+\dfrac{1}{6}\\\\n=\dfrac{3}{6}+\dfrac{1}{6}\\\\n=\dfrac{4}{6}\\\\n=\dfrac{2}{3}](https://tex.z-dn.net/?f=n-%5Cdfrac%7B1%7D%7B6%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5Cn%3D%5Cdfrac%7B1%7D%7B2%7D%2B%5Cdfrac%7B1%7D%7B6%7D%5C%5C%5C%5Cn%3D%5Cdfrac%7B3%7D%7B6%7D%2B%5Cdfrac%7B1%7D%7B6%7D%5C%5C%5C%5Cn%3D%5Cdfrac%7B4%7D%7B6%7D%5C%5C%5C%5Cn%3D%5Cdfrac%7B2%7D%7B3%7D)
<h2>Answer</h2>
![n=\dfrac{2}{3}](https://tex.z-dn.net/?f=n%3D%5Cdfrac%7B2%7D%7B3%7D)
Answer:
6i![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Step-by-step explanation:
Using the rule of radicals
×
=
and
= i
Given
![\sqrt{-72}](https://tex.z-dn.net/?f=%5Csqrt%7B-72%7D)
= ![\sqrt{36(2)(-1)}](https://tex.z-dn.net/?f=%5Csqrt%7B36%282%29%28-1%29%7D)
=
×
× ![\sqrt{-1}](https://tex.z-dn.net/?f=%5Csqrt%7B-1%7D)
= 6
× i
= 6i![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
$ 426. I’m pretty sure. If it’s 10.65 per hour then just multiply that by 40 to find the wage