Answer:
(x, y) = (-4, 15)
Step-by-step explanation:
The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.
(3x +y) -(2x +y) = (3) -(7)
x = -4 . . . . . . . . simplify
Now, we can find y by substituting this value for x.
2(-4) +y = 7
y = 7 +8 = 15 . . . . . add 8 to both sides of the equation
The solution is (x, y) = (-4, 15).
Answer:
Step-by-step explanation:
Given
(a)distance
speed=1.2 m/s
=64.6 at 3.53 m/s
total time 
=53.83+18.3=72.13 s
Average velocity

(b)total distance
Average velocity

Is there any other information behind this problem?
Triangle ABC is similar to triangle CEF.
<u>Explanation:</u>
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Diagram is inserted for the reference.
ABCD is a rectangle.
ABC is a right angled triangle because all the angles of the rectangle are 90◦ - (a)
CEF is a right angled triangle because FE is perpendicular to DC – (b)
In triangles ABC and CEF,
1. Angle ABC = Angle CEF = 90◦ (Both are right angles from a and b)
2. Angle BCA = Angle EFC (Alternate angles on parallel lines are equal on intersection)
Hence using Similarity property of AA (Angle, Angle), Triangle ABC and CEF are similar.
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Think of it like this, if there are 13 cards numbered 1-13 and you need to find the probability of pulling a multiple of 3.
Then start by laying out all your options.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
Then find all of the multiples of 3
3, 6, 9, 12
There are 4 multiples of 3 out of all of the cards so you have a 4 out of 13 chance to pull a card with a multiple of 3 on it.
Answer = 4/13