Three classmates want to know when a tennis ball and a balloon will reach the same vertical height above the ground. David hits
a tennis ball with his racquet and Tyler releases a balloon at the same time that Samantha starts a timer. Let x represent the time, in seconds, since the timer starts. The following graph shows the vertical height of the tennis ball and balloon, in feet. Which of the statements best describes the solutions to the system of equations?
There is one possible solution, but it is not viable.
There are two possible solutions, and both solutions are viable.
There are two possible solutions, but only one of the solutions is viable.
There is one possible solution, and it is viable.
There is one possible solution, but it is not viable.
There are two possible solutions, and both solutions are viable.
There are two possible solutions, but only one of the solutions is viable.
There is one possible solution, and it is viable.
1 answer:
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Hi there!
Since U and V are midpoints of the legs, then UV is the average of both WX and ZY.
Therefore:
(ZY + WX)/2 = UV
Substitute in the given expressions:
[(6x + 5) + (x + 7)]/2 = 8x - 3
Simplify by combining like terms:
(7x + 12)/2 = 8x - 3
Multiply both sides by 2:
7x + 12 = 16x - 6
Subtract 7x from both sides and add 6 to both sides:
18 = 9x
Divide both sides by 9:
18/9 = x
x = 2.
Plug in this value of x into the equation for UV:
8(2) - 3 = 16 - 3 = 13.
Okay! To do this, all you have to do is multiply the denominator and numerator by the same number.
Let's take number 1 for example:
Choose a number that you want to multiply them by. I'm going to use the number 3.
4 x 3= 12
10 x 3 =30
So your equivalent fraction would be:
Note: Make sure you multiply the top and bottom by the same number. :)
Let me know if you need any more help with the other two.
Let's take number 1 for example:
Choose a number that you want to multiply them by. I'm going to use the number 3.
4 x 3= 12
10 x 3 =30
So your equivalent fraction would be:
Note: Make sure you multiply the top and bottom by the same number. :)
Let me know if you need any more help with the other two.