The slope of the perpendicular line of y=5x would be -1/5, since slopes are always opposite reciprocals when they are perpendicular to each other.
Answer:
2/3 or 3/2
Step-by-step explanation:
Let x represent the number. The given relation is ...
x +1/x = 2 1/6
x^2 +1 = (13/6)x
6x^2 -13x +6 = 0 . . . . . subtract the right side and multiply by 6
(6x -9)(6x -4)/6 = 0 . . . . factor
(2x -3)(3x -2) = 0 . . . . . . simplify a bit
x = 3/2 or 2/3 . . . . . . . . values of x that make the factors zero
The number is 2/3 or its reciprocal, 3/2.
Answer:
146
Step-by-step explanation:
Get a percent calculator, Then, you put 51.2% of 285 and you actually get 145.96 but the rounded of what you need is 146
First we must convert these mixed numbers to improper fractions:


So then we need the product of these two numbers. That means to multiply:

But then we need the value of half of this product. So then let's multiply by one-half:

Then we can convert this from an improper fraction to a mixed number:

And so this number is half of the product of the initial two numbers.