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marshall27 [118]
3 years ago
5

Harshdeep was playing basketball with his friends with seconds left before the game ended he attempted a 3 point shot the follow

ing equation models the path of the basketball y=-x^2+4x+5 where x is the elapsed time in seconds.
Pls help, also do i find how long and how high the ball reached or how long it took the basketball to reach the ground. Please answer them as well. Thank you so much.
Mathematics
1 answer:
monitta3 years ago
7 0

Answer:

y = 9 at x = 2 seconds

y = 0 at x = 5 seconds

Step-by-step explanation:

y=-x^2+4x+5

First find the zeros

0 =-x^2+4x+5

0 = -(x^2 -4x -5)

What 2 numbers multiply to -5 and add to -4

-5*1 = -5

-5+1 = -4

0 = -(x-5)(x+1)

x-5 =0    x+1 =0

x=5  x =-1

The vertex is 1/2 way between the two zeros

(5+-1) /2 = 4/2 =2

The vertex is at x=2

The maximum value of y is when x=2

y = -(2)^2 +4(2) +5

y = -4+8+5

y = 9

The ball will hit the ground at x = 5 seconds

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The area of a rectangle is represented by the polynomial x^2+3x-6x-18. What are the length, width, and area of the rectangle if
Nitella [24]

Answer:

Length = 15

Width = 6

Area = 90

Step-by-step explanation:

Area of the rectangle = {x}^{2}  + 3x - 6x - 18

Lets factorise the polynomial

=  >  x(x + 3) - 6(x + 3)

=  > (x  + 3)(x - 6)

We know that Area = Length × Width

Let the length be (x + 3) & width be (x - 6)

Its given in the question that x = 12. So putting the value of x gives ,

Length = x + 3 = 12 + 3 = 15

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3 years ago
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Answer:

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Step-by-step explanation:

/

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3 years ago
I undermost of my problems but i dont get this one. any help?
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3 years ago
Read 2 more answers
If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth.
alukav5142 [94]

Answer:  The slant height of the cone is 65.6 m

Step-by-step explanation:

Given: The diameter of a cone = 10 m

Surface area of cone = 190.6 m²

To find: Slant height

Diameter of cone = 10 m

Therefore Radius of cone = \dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m

As we know that surface area of a cone is given by

S.A. = \pi r(l+r)

Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.

Let Slant height = l

So we have

190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow  5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l=  \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6

Hence the slant height of the cone is 65.6 m

5 0
3 years ago
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