Hey there! I'm happy to help!
To find the distance between two points, you find the difference between the x values, square that, find the difference between the y values, square that, add the two numbers you got, and then find the square root.
Find the difference between the x values.
-6-2=-8
Square it.
-8²=64
Find the difference between the y-values.
-5-0=-5
Square it.
-5²=25
We add the two numbers we got.
64+25=89
And we find the square root.
√89≈9.43
This method comes from the Pythagorean Theorem! If you draw a triangle that connects the two points, you can use the Pythagorean Theorem to find the distance, which is what we just did!
Have a wonderful day! :D
238/17= 14 dollars per hr
168/14= 12 hrs
Final answer: 12 hrs
Answer:20
Step-by-step explanation:
30-10 equals 20
Answer:
Let's define two transformations.
Vertical translation.
If we have a function f(x), a vertical translation of N untis is written as:
g(x) = f(x) + N
If N is positive, then the translation is upwards
If N is negative, then the translation is downwards.
Horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x - N)
if N is positive, then the translation is to the right
If N is negative, then the translation is to the left.
Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.
Then:
g(x) = f(x - 5) + 3
and again, using f(x) = x^2
g(x) = (x - 5)^2 + 3
