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lana66690 [7]
3 years ago
10

Matt and Brian were solving a system of equations. They both noticed that the two lines had the same slope. Brian said that beca

use each line in the system had the same slope, the two lines had to be parallel, which meant the solution to the system was "no solutions." Matt disagreed, and said they should also look at the y-intercepts before determining how many solutions there were. Who is correct?
A. Neither person makes a valid argument
B. Brian is correct. When two lines have the same slope, they are always parallel.
C. Matt is correct. though two lines with equal slopes are often parallel, if they have the same y-intercept, they are the same line and have infinitely many solutions.
Mathematics
1 answer:
mixas84 [53]3 years ago
8 0

Answer:

it's answer is B.

Step-by-step explanation:

you're welcome:)

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We are to find the time at which the height of basketball thrown by Eli and Karl is equal. We have the functions which model the heights of both basketballs. So by equating the functions representing the height of both basketballs we can find the value of x from that equation at which the height is same for both basketballs.

-4.9 x^{2} +12x+2.5=-4.9 x^{2} +14x \\  \\ 
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Thus after 1.25 seconds the height of basketballs thrown by Eli and Karl will be at the same height. This can be verified by finding the heights of both at x=1.25

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For Karl:
Height=f(1.25)=-4.9 (1.25)^{2}+14(1.25)=9.84375

Thus height of both basketball is equal after 1.25 seconds


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