Since triangle M' is the image of triangle M under a dilation, the center of the dilation is: B. B.
In Mathematics and Geometry, a dilation is a type of transformation that is used for altering the dimensions of a geometric figure, but not its shape.
Generally speaking, the coordinates of the pre-image can be dilated by using a scale factor that is centered at the point B by using this mathematical expression:
(x, y) → (k(x - a) + a, k(y - b) + b)
In conclusion, the center of the dilation would be at point B when the three vertex of both triangle M' and triangle M are connected.
Read more on dilation here: brainly.com/question/11812796
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Answer:
B
Step-by-step explanation:
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System of equations that can be used to find the price of one drink and the price of one bag of popcorn is:
3d + 10p = 41
2d + 2p = 11
Price of a bag of popcorn is $ 3.5
Let "d" be the price of one drink
Let "p" be the price of 1 bag of popcorn
Luke spends total of $41 on three drinks and 10 bags of popcorn
3 drinks x price of one drink + 10 bags of popcorn x price of 1 bag of popcorn = 41
3d + 10p = 41 ------ eqn 1
Christopher spend a total of $11 on two drinks and two bags of popcorn
2 drinks x price of one drink + 2 bags of popcorn x price of 1 bag of popcorn = 11
2d + 2p = 11 ------- eqn 2
Eqn 1 and eqn 2 represents system of equations that can be used to find the price of one drink and the price of one bag of popcorn
Let us solve eqn 1 and eqn 2 to find values of "d" and "p"
Multiply eqn 2 by 5
10d + 10p = 55 --- eqn 3
Subtract eqn 3 from eqn 1
3d + 10p = 41
10d + 10p = 55
(-) ------------------------
-7d = -14
d = 2
From eqn 2,
2d + 2p = 11
2(2) + 2p = 11
4 + 2p = 11
2p = 7
p = 3.5
Thus price of 1 bag of popcorn is $ 3.5 and price of one drink is $ 2
Answer:
Step-by-step explanation:
Standard equation of a circle is
As the radius is half of the diameter we can divide 12 by 2 to get a radius, then we can input values into this equation.
A.
7.5 hours
B.
4.5 hours
C.
9 hours
D.
18 hours
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15 hours/ 5 hours = 3
3 x 1.5 hours = 4.5 hours
Eric practiced javelin for 4.5 hours.
Charles practiced javelin the same, so 4.5 hours.
4.5 / 2.5 = 1.8
5 hours x 1.8 = 9 hours
Charles practiced relay for 9 hours.
Answer is C. 9 hours
Answer:
answer is a
Step-by-step explanation: