The center is (0,0)
You are looking for a scale factor of 4..
Point a is found at (-3,1)
Point B (4,-3)
Point C (2,3)
Point D (-1,4)
Multiply each value by the scale factor of 4..
x:
Point A = -3 * 4 = -12
Point B = 4*4=16
Point C= 2*4=8
Point D=-1*4=-4
y:
Point A= 1*4=4
Point B= -3*4=-12
Point C= 3*4=12
Point D= 4*4=16
Your dilated points are:
A : (-12,4)
B : (16,-12)
C : (8,12)
D : (-4,16)
Hope this helps!
Answer:
133.3 repeated
Step-by-step explanation:
just divide distance and speed then you get your answer, which is 1.33.3 minutes and if you need to simplify then it would be <u>About</u> 2 hours and 13 minutes
Answer and Step-by-step explanation:
Variance is the measurement of the spread bewteen the numbers of the data set and can be calculated by the formula:
σ² = ∑(x - ⁻x)² / n
1) With the data, find its mean (⁻x) by adding all the values and dividing the sum by total number of elements the data has;
2) Subtract each value of the data to the mean;
3) Square the result of the subtractions;
4) Add the squares;
5) Divide the sum by the total number of elements of the set;
6) The result is the Variance (σ²);
Standard Deviation is the measure of how far the values of the data set are from the mean and it is the square root of Variance:
σ = 
So, to calculate standard deviation, you just take the square root of the variance.
Step-by-step explanation:
The general form of an equation of a circle with center at (a, b) and radius r is given as:
(x - a)² + (y - b)² = r²
There is no images available to help decide which circle is the right choice... But with the knowledge of what a standard circle looks like, we can make the choice.