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katrin [286]
2 years ago
5

In a game of cornhole, Sasha tossed a bean bag and it landed at the edge of the hole. The hole can be represented by the equatio

n x2 + y2 = 5, and the path of the bean bag can be represented by y = –0.5x2 – 1.5x + 4. To which points could she have tossed her bean bag?
(–1, –2) or (–2, 1)
(1, –2) or (2, 1)
(–1, 2) or (–2, –1)
(1, 2) or (2, –1)
Mathematics
1 answer:
White raven [17]2 years ago
6 0

Answer: (-1, -2) or (-2, 1)

Step-by-step explanation:

i graphed it on desmos and used the intersected points.

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Answer:

C) Multiplicative Inverse Property

Step-by-step explanation:

Because 1/10 is the inverse of 10.

For example, 15*(1/15)=1.

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Step-by-step explanation:

7 0
3 years ago
A rock is launched from a cannon. After 1 second, the rock is 58 feet in the air; after 2 seconds, it is 112 feet in the air. Us
max2010maxim [7]

Answer:

Step-by-step explanation: This is the quadratic function:

h(x)=ax²+bx+c

We have two points:

(1,58)

(2,112)

Now, we calculate this quadratic funtion.

we assume that h(0)=0

Therefore:

a(0)²+b(0)+c=0

c=0

(1,58)

a(1)²+b(1)=58

a+b=58  (1)

(2,112)

a(2)²+b(2)=112

4a+2b=112

2a+b=56  (1)

With the equations (1) and (2) we make a system of equations:

a+b=58

2a+b=56

we can solve this system of equations by reduction method.

-(a+b=58)

2a+b=56

---------------------

a=-2

-2(a+b=58)

2a+b=56

-------------------

      -b=-60  ⇒  b=60

The function is:

h(x)=ax²+bx+c

h(x)=-2x²+60x

Now find the height, in feet, of the rock after 10 seconds in the air.

h(10)=-2(10)²+60(10)

h(10)=-200+600=400

Answer: 400 ft.

8 0
2 years ago
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