Well, i would use the distance formula to find the distance between the two points. Only issue- you do not have the other point, so lets find it!
We have the point 4,6. 4 is the x, and 6 is the y.
Lets start with 4 since the x works with the left and right aspect of the location. It says M has been translated 8 units to the left, meaning we go back 8. So if we are at 4, and we go back (A.K.A. Subtract) 8, we will be at -4.
Now lets move onto the y, which works with the up and down aspect of the location. It says M has been translated 9 unites down, meaning the point will be heading down and getting smaller. So if we are at 6, and we go down (A.K.A. subtract) 9, then we will be at -3.
So now we have the coordinates of point M (4,6) and point M' (-4,-3) so we can now complete the distance formula!
The distance formula helps determine the distance between two points. It looks like this: D = √(x₂-x₁)²+(y₂-y₁)²
Though it does not matter which order you use the coordinates in, i am choosing to use M and then M'.
So, starting with the X, X₂ will be -4 and X₁ will be 4.
Again, starting with the Y, Y₂ will be -3 and Y₁ will be 6.
So, the formula plugged in will look like this: d = √(-4 - 4)² + (-3 - 6)²
Solving it out, we first need to work within the parenthesis. Can you solve it?
Our outcome will be this: -8² + -9². But, since we are squaring (And a negative times a negative equals a positive) you can just write 8² + 9²
8²= 64
9²= 81
64+81 = 145.
So, the distance between point M and point M' would be 145 units
Hope this helps!
If it does not, please let me know so i can try to help!
Answer:
see the explanation
Step-by-step explanation:
In this problem
I will assume that the total amount required for the trip is $1,200
so
Let
x ----> the number of weeks
we know that
The number of weeks multiplied by $75 plus $300 must be at least $1,200
In this context, the term "at least" means "greater than or equal to"
so
The linear inequality that represent this problem is
Solve for x
subtract 300 both sides
Divide by 75 both sides
therefore
The minimum number of weeks you need to save is 12
Answer:
Its the 2nd one
Step-by-step explanation:
Simplify the exponents and then multiply
Answer:
It can be represented by the expression 2r, or “two times the radius.” So if you know a circle's radius, you can multiply it by 2 to find the diameter; this also means that if you know a circle's diameter, you can divide by 2 to find the radius. Find the diameter of the circle.
Step-by-step explanation:
you'r welcome :)
Answer:
84
Step-by-step explanation:
The mean is calculated as
mean = 
, then
= 21 ( multiply both sides by 4 )
sum = 84
