The set of points W(4, 4), X(6, 2), Y(-8, 16) are collinear and the line has a slope of ____.

Mathematics

1 answer:

Anton [14]3 years ago

6 0

Answer: -1

Step-by-step explanation:

Given: The set of points W(4, 4), X(6, 2), Y(-8, 16) are collinear

The slope of a line passing through points (a,b) and (c,d) is given by :-

$m=\frac{d-b}{c-a}$

Now, the slope of line passing through W(4, 4), X(6, 2) is given by :-

$m=\frac{6-4}{2-4}=\frac{2}{-2}=-1$

Hence, the slope of line passing through W(4, 4), X(6, 2), Y(-8, 16) =-1

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A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectil

Furkat [3]

Answer:

t = 5.25 seconds

Step-by-step explanation:

Given that,

A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation:

$h(t)=-16t^2+48t+190$

It is assumed to find the time when the projectile will hit the ground. When the projectile hit the ground, its height is equal to 0 such that,

$-16t^2+48t+190=0$

It forms a quadratic equation such that,

$t=\dfrac{-b+\sqrt{b^{2}-4ac } }{2a},\dfrac{-b-\sqrt{b^{2}-4ac } }{2a}\\\\t=\dfrac{-48+\sqrt{(48)^{2}-4\times (-16)(190) } }{2\times (-16)},\dfrac{-48-\sqrt{(48)^{2}-4\times (-16)(190) } }{2\times (-16)}\\\\t=-2.25, 5.25$