The distance between those two points is 41 and in decimal form to the nearest tenth, that's 6.4
Explanation:
Use the distance formula: √(x2 - x1)² + (y2 - y1)²
Then we plug in our x's and y's:
√(4 - (-1))² + ((-1) - 3)²
Then you simplify:
√(5)² + (-4)² = √25 + 16
√41 (And if you need to, you can put this into decimal form.)
Rewrite the equation: 2y=x-6, y=x/2-3, so slope is 1/2 which is also the slope of the parallel line.
It will have the equation y=x/2+a where a is found by plugging in the given point: 4=-1+a, so a=5.
Therefore y=x/2+5. (This can also be written 2y=x+10 or x-2y+10=0)
2/8 is the answer because if you do 3-1 it would equal 2 and then you would put 2 over eight. You can even simplify it to 1/4 because 2 and 8 can both be divided by 2.
Since sales tax goes after the discount, it would be 3 dollars and 20 cents. Taking 50 dollars and 20% is discounted (50*.2), which would be 10 dollars taken off. It would be 40 dollars shoes and then you apply sales tax by multiplying 40 by .08, giving you the amount of tax paid.
Answer:
Step-by-step explanation:
If we have a linear function and we multiply the input of the function, we aren't really <em>changing</em> the values of the function, we're changing the rate at which those values are reached.
E.g. if you look at the attached picture, we have 
and 
, which is just 
. The value when the red line is x = 1 is half that of the value of the blue line when x = 1.
The values of the f(2x) line are reaching the values of f(x) twice as fast, meaning it has a slope of twice as much. However, it still grows through the same intercept.
If you're interested in the calculus behind this, look up the chain rule of derivatives.
However, when you start changing the output of the function, you're changing the entire equation. It's not the same line anymore.
