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1 year ago

Please help!! I will give 20 points to the correct answer !! Thanks so much

Mathematics

2 answers:

slava [35]1 year ago

6 0

Answer:

-6 and 10

Step-by-step explanation:

i did this before. np kiddo

Ray Of Light [21]1 year ago

6 0

Answer:

-6, +10

Step-by-step explanation:

You are looking for factors of -60 that have a sum of 4. It can be helpful to list them so that they have a positive sum.

-60 = (-1)(60) = (-2)(30) = (-3)(20) = (-4)(15) = (-5)(12) = (-6)(10)

The sums are 59, 28, 17, 11, 7, 4. The factor pair of -60 that has a sum of 4 is ...

-6 and 10

_____

<em>Additional comment</em>

The square root of 60 is between 7 and 8, neither of which are factors of 60. That means the above list includes all of the factor pairs of 60. We have chosen the signs so that the sums are positive and the product is negative.

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3 years ago

A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t

Solnce55 [7]

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

$h=-16t^2+200t$

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

$350=-16t^2+200t$

The last is a quadratic equation, which can be put in the form $at^2+bt+c=0$ and solved applying the formula:

$t=\frac{-b+-\sqrt{b^2-4ac} }{2a}$

So, let's put the equation on the form $at^2+bt+c=0$ adding $16t^2$ and subtracting $200t$ to each side of the equation; the result is:

$16t^2-200t+350=0$

So, we note that a=16, b=-200, and c=350.

Then,

$t_1=\frac{200-\sqrt{200^2-4*16*350} }{2*16}=2.10$

$t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40$

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

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3 years ago