Answer:
(2,8)
Step-by-step explanation:
The midpoint of a line segment with endpoints (a,b) and (c,d) is
((a+c)/2 , (b+d)/2) .
So one endpoint is given and the midpoint is given, we are asked to find the other midpoint.
(10+c)/2=6 (4+d)/2=6
10+c=12 4+d=12
c=2 d=8
(2,8) is the other endpoint
Answer:
Fast train speed: 69 km/h
Slow train speed: 39 km/h
Step-by-step explanation:
Fast train:
-Time: 4.33
-Speed: x
-Distance: 4.33x
Slow train:
-Time: 7.66
-Speed: x - 30
-Distance: 7.66(x - 30)
7.66(x - 30) = 4.33x
7.66x - 229.8 = 4.33x
3.33x = 229.8
x = 69
Answer:
There are 220 ways by which the medals can be awarded to three of the 15 gymnast, if exactly one of the Americans wins a medal
Step-by-step explanation:
From the question, we have;
The number of gymnast in the Olympic women's competition = 15
The number of the gymnast who are Americans = 4
The number of medals awarded = 3 medals
The number of ways hat the medals can be awarded to the three of the gymnast if exactly one of the Americans wins a medal is given as follows;
The number of ways one of the medals can be won by one of the four Americans = ₄C₁ = 4 ways
The number of ways the other two medals can be won by the remaining 11 gymnast = ₁₁C₂ = 55 ways
Therefore, the total number of ways, 'N', the medals can be awarded to three of the 15 gymnast, if exactly one of the Americans wins a medal is given as follows;
N = ₄C₁ × ₁₁C₂
∴ N = 4 × 55 = 220
Answer:
Step-by-step explanation:
for reflection around x-axis.
(x,y)→(x,-y)
so P' is (-7,4)
