Determine the slope for the following set of ordered pairs. Simplify your answer and type it into the box.

Mathematics

1 answer:

DIA [1.3K]3 years ago

8 0

Answer:

Step-by-step explanation:

16 - 13 = 3

-4 - -7 = 3

3/3 = 1

You might be interested in

CHECK ALL ANSWERS THAT APPLY*

Musya8 [376]

Answer:

We get t= 7.22 and t=0.28

The correct options are Option A and Option G

Step-by-step explanation:

The height h of toy rocket at time t seconds after launch is given by the equation $h(t) = -16t^2 + 120t + 8$

We need to find how many seconds until the rocket is 40 feet?

We are given height of rocket h(t) = 40 feet

and we need to find time t

Using the equation $h(t) = -16t^2 + 120t + 8$ we can find time t

We have h(t)=40

$h(t) = -16t^2 + 120t + 8\\Put\:h(t)=40\\40= -16t^2 + 120t + 8\\16t^2-120t-8+40=0\\16t^2-120t+32=0$

Now, we will solve the quadratic equation using quadratic formula: $t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We have a =16, b=-120 and c=32

Putting values and finding t

$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-(-120)\pm\sqrt{(-120)^2-4(16)(32)}}{2(16)}\\t=\frac{120\pm\sqrt{14400-2048}}{32}\\t=\frac{120\pm\sqrt{12352}}{32}\\t=\frac{120\pm111.12}{32}\\t=\frac{120+111.12}{32}, t=\frac{120-111.12}{32}\\t=7.22\:,\:t=0.28$