Answer:
All the coordinates are changed to
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Given - A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2.
To find - Which answer choice correctly maps this dilation algebraically?
Proof -
Let ABC is a triangle where A, B, C are the vertices of the triangle respectively.
Now,
Let the coordinates be (x, y)
If a triangle is to be dilated with the origin as the center of dilation and with a scale factor of a , then the coordinated be changes as
(x, y) ⇒ (ax, ay)
Here given , a = 2
So, all the coordinates are changed to
(x, y) ⇒ (2x, 2y)
The combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3
<h3>Permutation and Combination</h3>
While combination has to do with selection, permutation has to do with arrangement.
According to the combination rule
nCr = n!/(n-r)!r!
The expression that gives the result of 20 is expressed below;
6C3 = 6!/(6-3)!3!
6C3 = 6!/3!3!
6C3 = 6!/6*6
6C3 = 720/36
6C3 =20
Hence the combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3
Learn more on combination here: brainly.com/question/4658834
#SPJ1
Answer:
A. No
City driving mean requires less miles than Highway driving mean.
B. No
City driving median requires less miles than Highway driving median.
C. No
City driving mode requires less miles than Highway driving mode
D.
The driving conditions in the City is better than the driving conditions in the Highway because all measures of centers are lesser than those of Highway.
Step-by-step explanation:
The slope-intercept form of a line is:
y=mx+b
m=slope=(y2-y1)/(x2-x1)
b=y-intercept (the value of y when x=zero)