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:
Equation for x: 3x - 6 =
x = 9
CD = 17
GH = 21
Step-by-step explanation:
The midsegment formula for a trapezoid is
GH =
3x - 6 =
6x - 12 = 2x + 24
4x = 36
x = 9
CD = 2x - 1 = 2(9) - 1 = 18 - 1 = 17
GH = 3x - 6 = 3(9) - 6 = 3 = 27 - 6 = 21
Answer is 0= -2
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Answer:
The correct options are;
B) The mean and median for the security company are both lower than the mean and the median for the collections performed by other companies
B) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees
Step-by-step explanation:
We use the acronym SC for the security company and OC for the other company
SC OC
1.6 1.5
1.8 2.1
1.6 1.9
1.8 2.2
1.7 1.9
1.2 1.7
1.1 2.1
1.2 2.2
1.2 2.2
1.5 1.8
∑x 14.7 19.6
The mean is given by ∑x/n
n = 10
SC OC
∴ Mean 1.47 1.96
The median is the
Hence
SC OC
Median 1.55 2
Therefore, the mean and median for the security company are both lower than the mean and the median for the collections performed by other companies.
b) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees.
Step 1: Since this figure has 4 sides, the total degree will be 360 degrees.
Step 2: Create Equation: 41+86+133+x= 360
Step 3: Solve it: you will get the final answer of x=100