QUESTION IMAGE
Question
since the ball travels in a parabolic path, the equation used to represent this information has this quadratic form:
$y = ax^2 + bx + c$
where $a$, $b$, and $c$ are constants, $a \
eq 0$, $y$ is the height of the ball, and $x$ is the distance the ball has traveled.
lets solve the system of equations for $a$ and $b$.
$c = 0$
$3 = 10a + b$
$2 = 20a + b$
$a = -0.1$
we just found that $a = -0.1$ in this system of equations:
$3 = 10a + b$
$2 = 20a + b$
find the value of $b$.
enter the correct answer.
no. substitute $a = -0.1$ into either equation and solve for $b$.
try again.
Step1: Substitute $a=-0.1$ into equation
Choose $3 = 10a + b$, substitute $a=-0.1$:
$3 = 10\times(-0.1) + b$
Step2: Simplify and solve for $b$
Calculate $10\times(-0.1) = -1$, so:
$3 = -1 + b$
Add 1 to both sides:
$b = 3 + 1 = 4$
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$b=4$