If \[x^2 - 7x + c = (x + a)^2\]for some constants $a$ and $c,$ then find $a.$

9514 1404 393

  a = -3.5

Step-by-step explanation:

The square expands to ...

 (x +a)^2 = x^2 +2ax +a^2

That is, ...

  2ax = -7x . . . . . . match x-terms

  a = (-7x)/(2x) = -7/2

  a = -3.5

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation:

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)