3 years ago

A line passes through the points ( - 9, - 24) and (8, – 9).

Mathematics

1 answer:

ehidna [41]3 years ago

5 0

Answer:

15 / 17

Step-by-step explanation:

slope = (y2 - y1) / (x2 - x1)

= (-9 + 24) / (8 + 9)

= 15 / 17

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Solve the system of equations. x + 3y = −1 2x + 2y = 6

mihalych1998 [28]

1x+ 3y = -12x + 2y = 6
+12x +12x
13x + 3y = 2y = 6
+3y +3y
13x = 5y = 6
13x = 5y and 5y = 6

5 0

4 years ago

The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equation h = -16t2 + h0, where

lawyer [7]

$\bf h=-16t^2+255\implies h=-16t^2+0t+255
\\\\\\
~~~~~~~~~~~~\textit{quadratic formula}\\\\
\begin{array}{lcccl}
h=& -16 t^2& +0 t& +255\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
h= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}
\\\\\\
h=\cfrac{-0\pm\sqrt{0^2-4(-16)(255)}}{2(-16)}\implies h=\cfrac{\pm\sqrt{16320}}{-32}
\\\\\\
h=\cfrac{\pm\sqrt{8^2\cdot 255}}{-32}\implies h=\cfrac{\pm 8\sqrt{255}}{-32}\implies h=\cfrac{\mp \sqrt{255}}{4}
\\\\\\
h\approx \mp 3.992179856$