The distance between two points is calculated through the equation,
d = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values from the given above,
d = √(4 - -4)² + (4 - -4)²
d = 8√2 = 11.31
The distance between the points is approximately equal to 11.31. The value that Jason presented is not the real distance because it does not account for the other set of coordinates.
Answer:
Step-by-step explanation:
So we have the expression:
And we wish to factor it.
First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:
This is a technique called quadratic u-substitution. Now, we can factor in this form.
We can use the numbers -3 and -2. So:
For the first two terms, factor out a u.
For the last two terms, factor out a -3. So:
Grouping:
Now, substitute back the x² for u:
And this is the simplest form.
And we're done!
Expressed a proper fraction in its simplest form, 0.79 is equal to 79/100, or this seventy-nine hundredths
Step-by-step explanation:
The scale factor is 12/6 = 10/5 = 2.