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vichka [17]
3 years ago
12

(-2) + (3 - 7) (-1) * (-2)

Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0

Answer:

  1. -6
  2. 2

Step-by-step explanation:

( - 2) + ( 3 - 7)

- 2 + (3 - 7)

- 2 +  - 4

- 2 - 4

\boxed{\green{ =  - 6}}

◇◇•◇◇

( - 1) \times ( - 2)

1 \times 2

\boxed{\green{= 2}}

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In the game of cornhole, when Sasha tossed a bean bag to the edge of the hole, in which the equations of the hole and bean bag's path are x² + y² = 5 and y = 0.5x² + 1.5x - 4, respectively, she could have tossed her bean bag to the points (1, -2) or (2, 1).              

 

To find the points in which she could have tossed her bean bag, we need to intersect the two equations of the function as follows.

<u>The equation for the hole</u>

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<u>The equation for the path of the bean bag</u>

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By entering equation (2) into (1) we have:  

x^{2} + (0.5x^{2} + 1.5x - 4)^{2} = 5

x^{2} + 0.25x^{4} + 1.5x^{3} - 4x^{2} + 2.25x^{2} - 12x + 16 = 5    

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By solving for <em>x</em>, we have:

x₁ = 1

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Now, for <em>y</em> we have (eq 2):

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y_{1} = 0.5(1)^{2} + 1.5(1) - 4 = -2

  • <u>x₂ = 2</u>

y_{2} = 0.5(2)^{2} + 1.5(2) - 4 = 1                                              

Therefore, the points are (1, -2) or (2, 1).

To find more about intersections, go here: brainly.com/question/4977725?referrer=searchResults        

I hope it helps you!

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