a system of equations is shown below: x y = 3 2x − y = 6 the x−coordinate of the solution to this system of equations is _____.

1 answer:

6 0

If you would like to solve the system of equations x + y = 3 and 2x - y = 6, you can do this using the following steps:

<span>x + y = 3 ... y = 3 - x
2x - y = 6
</span>_________
<span>2x - y = 6
</span>2x - (3 - x) = 6
2x - 3 + x = 6
3x = 6 + 3
3x = 9 /3
x = 9/3
x = 3

<span>y = 3 - x = 3 - 3 = 0
</span>
The correct result would be x = 3.

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In a game of pool, a 0.4 kg cue ball is traveling at 0.80 m/s when it hits a slower striped ball moving at 0.38 m/s. after the c

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The magnitude of the final velocity of the cue ball is (B) 0.56m/s.

<h3>What is Velocity</h3>

The definition of velocity is a vector measurement of the rate and direction of motion.
It is a moving body's speed and direction of motion.

How to calculate the magnitude of the final velocity?

The magnitude of the final velocity can be calculated by following the steps:

The mass of the cue ball given is 0.4kg.
The velocity of the cue ball given is +0.80m/s.
The velocity of the striped ball before the collision is +0.38 m/s.
The velocity of the striped ball after collision is +0.62m/s.
We need to find the magnitude of the final velocity of the cue ball.

Assuming all pool balls have the same mass: 0.4kg

Let the final velocity of the cue ball be x.

Now, To find the final velocity:

Mass of the cue ball × initial velocity of cue ball + Mass of striped ball + initial velocity of striped ball = mass of cue ball × final velocity + mass of striped ball × final velocity of the striped ball

(0.40)×(0.80)+(0.4)(0.38) = (0.4)(x)+(0.4)(0.62)
0.32+0.152=0.4x+0.248
0.472=0.4x+0.248
0.472-0.248= 0.4x
0.224/0.4 =x
x = 0.56m/s

Therefore, the magnitude of the final velocity of the cue ball is (B) 0.56m/s.

Know more about velocity here:

brainly.com/question/25749514

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The correct question is given below:

In a game of pool, a 0.4 kg cue ball is traveling at +0.80 m/s when it hits a slower striped ball moving at +0.38 m/s. After the collision, the striped ball moves off at +0.62 m/s. What is the magnitude of the final velocity of the cue ball? Assume all pool balls have the same mass.

A. 0.20 m/s

B. 0.56 m/s

C. 1.0 m/s

D. 1.8 m/s

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Find the product of this square of a binomial.<br> (2x - 3)^2

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Answer:

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