We can start by eliminating y. Seeing as they already have opposite coefficients, no multiplication or division needs to be done. So, add the two equations together. 3.2x + (-1.6x) = 1.6x. 4.2 + 3.4 = 7.6. 0.5y + (-0.5y) = 0. This leaves us with 1.6x = 7.6. Now divide both sides by 1.6 to get x = 4.75.
Now we can eliminate x. Since the coefficients of x are not opposites, we need to multiply the bottom equation by 2 on both sides. That leaves us with -3.2x - y = 6.8. Now we can add both equations together. 3.2x + (-3.2x) = 0. 0.5y + (-y) = -0.5y. 4.2 + 6.8 = 11. This leaves us with -0.5y = 11. Divide both sides by -0.5 to get y = -22.
Therefore the answer is B: (4.75, -22)
Answer:
The expression that can be used to calculate the rate per second at which the machine launches the balls is fraction 20 over 4.
Step-by-step explanation:
The x-axis label is Time in seconds, and the x-axis values are from 0 to 20 in increments of 4 for each grid line.
And the y-axis label is Number of Balls and the y-axis values from 0 to 100 in increments of 20 for each grid line.
If the ordered pairs (4,20) and (8,40) are on the graph, then the slope of the line will be represented by
Therefore, the expression that can be used to calculate the rate per second at which the machine launches the balls is fraction 20 over 4. (Answer)
Answer:
1. Given
2. Given
3. Division property
4. Substitution
5. SSS similarity
Step-by-step explanation: