30 points if you can answer this question and tell me how to do it

Mathematics

1 answer:

vlabodo [156]3 years ago

7 0

Answer for a)

Since the coordinates are arranged as (x, y, z), then 3 would be for x, 0 would be for y, and 1 would be for z. The x is the length, the y is the height, and the z is the width. It is said that the x-axis value is 3 so there are 4 letters on the 3 value which are: P, S, B, and A. Now, let's look at the 0 on the y-axis. Since the y-axis is the height, then there are 2 letters remaining: A and B. Now, the z-axis is 1. So the letter for point (3, 0, 1) is... B.

Answer for b)

For the x-axis, P is at 3. For the y-axis, P is at 2. For the z-axis, P is at 1. So the coordinate of P is: (3, 2, 1).

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a toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its heigh

sdas [7]

Answer:

t = 2.11 seconds

Step-by-step explanation:

A toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its height h at any given second t is modeled by the equation:

$h=-16t^2+32t+48$

Let us assume that we need to find the time by it to reach the ground. It means h = 0

$-16t^2+32t+48=0$

The above is a quadratic equation. The value of t is given by :

$t=\dfrac{-b\pm \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-b+ \sqrt{b^2-2ac} }{2a},\dfrac{-b- \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-32+ \sqrt{(32)^2-2\times (-16)(8)} }{2\times (-16)},\dfrac{-32-\sqrt{(32)^{2}-2\times(-16)(8)}}{2\times(-16)}\\\\t=-0.11\ s, 2.11\ s$