Find their gradients using the change in y coords divided by the change in x coords. once you have the gradients (or slopes), multiply them by eachother - if the product is (-1) then theyre perpdendicular, if not, they are either parallel or intersect at a point
Answer:
Speed of car A = 40 mph
Speed of car B = 50 mph
Step-by-step explanation:
Given:
Distance travelled by car A = 120 miles
Distance travelled by car B = 120 miles
To Find:
speed of each car = ?
Solution:
Let the speed of car A be x
then speed of car B is (x +10)
The Time taken for each car is same
Time taken for car A = Time taken for car B
We know that time = 
Time taken for car A
=> 
---------------------------(1)
Similarly
Time taken for car B
=> 
-----------------------(2)
Equating (1) and (2), we get
=
120x + 1200 = 150x
1200 = 150x-120 x
1200 = 30x
x= 40
Speed of car A = 40mph
Speed of car B = (x+10) = (x+40) = 50mph
It would be letter D - 3648.
The probability of winning is 0.76 and the probability of losing is 0.24.
In each simulation the probability of winning exactly one match is: P(win one match) = 2C1 x 0.76 x 0.24 = 0.3648
Multiply the result by 10,000 simulations to get the expected number of times that exactly one match is won.
10,000 x 0.3648 = 3648 times.
Let the width be x.
Length = 5 + x
Perimeter = 58
2(l + w) = 58
2(5 + x + x) = 58
2(5 + 2x) = 58
10 + 4x = 58
4x = 48
x = 12
Hence, the length is 17 cm and the width is 12 cm.
