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ANTONII [103]
2 years ago
9

2. A coordinate grid is used to make a map of the park. The location of the drinking fountain is (-4, 2) ; the location of the b

ench is (0, 2) ; and the location of the center of the slide is (0, 5).
(a) What is the distance from the drinking fountain to the bench? What is the distance from the bench to the center of the slide? Explain your reasoning.
(b) What type of triangle is created by the three locations? Explain.
Mathematics
1 answer:
leva [86]2 years ago
5 0

Answer:

(A) The distance from the drinking fountain to the bench is 4, and the distance from the bench to the center of the slide is 3 because if you add -4 and 0 you will get 4 and if you subtract 5 and 2 you will get 3.

(B) The type of triangle that is created is an obtuse triangle because when you connect the 3 locations it creates an obtuse triangle on the coordinate grid.

Step-by-step explanation:

I already explained in the answer. Hope this helps and gets you an 100%

:)

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Hope this helps!
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Step-by-step explanation:

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3 years ago
What is the determinant of the coefficient matrix of this system? <br> 4x-3y=-8 <br> 8x-3y=12
gladu [14]

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So, you may write the matrix as

\left[\begin{array}{cc}\text{x-coefficient, 1st equation}&\text{y-coefficient, 1st equation}\\\text{x-coefficient, 2nd equation}&\text{y-coefficient, 2nd equation} \end{array}\right]

which means

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The determinant is computed subtracting diagonals:

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8 0
3 years ago
((-2^2)(-1^-3))•((-2^-3)(-1^5))^-2
Vitek1552 [10]

Answer:

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Step-by-step explanation:

A calculator works well for this.

_____

None of the minus signs are subject to the exponents (because they are not in parentheses, as (-1)^5, for example. Since there are an even number of them in the product, their product is +1 and they can be ignored.

1 to any power is still 1, so the factors (1^n) can be ignored.

After you ignore all of the things that can be ignored, your problem simplifies to ...

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The rules of exponents applicable to this are ...

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Then your product simplifies to ...

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3 years ago
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