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NARA [144]
3 years ago
13

Match the parabolas represented by the equations with their foci. Tiles y = -x2 + 4x + 8 y = 2x2 + 16x + 18 y = -2x2 + 5x + 14 y

= -x2 + 17x + 7 y = 2x2 + 11x + 5 y = -2x2 + 6x + 5 Pairs Focus Equation of Parabola (-2.75, -10) arrowBoth (2, 11.75) arrowBoth (-4, -13.875) arrowBoth (1.25, 17) arrowBoth
Mathematics
1 answer:
alexdok [17]3 years ago
7 0
Given:
<span>y = -x2 + 4x + 8
y = 2x2 + 16x + 18
y = -2x2 + 5x + 14
y = -x2 + 17x + 7
y = 2x2 + 11x + 5
y = -2x2 + 6x + 5 

Standard formula : y = ax</span>² + bx + c  ;  -(b/2a) is the x-coordinate of the vertex. Substitute the value of x to find the value of y.

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victus00 [196]

Answer:

73.12 cm

Step-by-step explanation:

The perimeter of the square is 3 sides of the square (the 4th side is not included because of the semicircle)

P square = 3 s

               =3 (16)

                =48 cm

The perimeter of the semicircle is 1/2 of the circumference of a circle

P semicircle = 1/2 (pi *d)

                     =1/2 (pi* 16)

                     = 8 pi

                     = 8 (3.14)

                      =25.12 cm

The total perimeter is the sum of the square and the circle

P total = P square + P semicircle

           =48+25.12

            =73.12 cm

8 0
4 years ago
A ball is launched into the sky at 272 feet per second from the roof of a skyscraper 1,344 feet tall. The equation for the ball’
xz_007 [3.2K]

When the ball is in the ground, its height is basically equal to zero thus making our equation,

<span>    -16t^2 + 272t + 1344 = 0</span>

Simplifying the equation will give us,

<span>  - t^2 + 17t + 84 = 0 or t^2 – 17t – 84 = 0</span>

Factoring out the equation will give us,

<span>   (t – 21)(t + 4) = 0</span>

Thus, t = 21 or t = -4. -4 is an extraneous root. Thus, the answer is t = 21.

<span>Answer: 21 seconds</span>

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3 years ago
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3 years ago
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Please help thanks if you do
Sonbull [250]

Answer:

294 cubic inches

Step-by-step explanation:

5 0
3 years ago
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