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Amanda [17]
3 years ago
9

What are the coordinates of the circumcenter of a triangle with vertices A(4,10), B(10, 10) , and C(10, 2) ?

Mathematics
1 answer:
const2013 [10]3 years ago
4 0

Answer:

(7,6)

Step-by-step explanation:

Triangle ABC with vertices at points A(4,10), B(10, 10) , and C(10, 2) is a right triangle with the hypotenuse AC.

The circumcenter of the right triangle is the midpoint of the hypotenuse.

Find the coordinates of the midpoint O of the hypotenuse AC:

x_O=\dfrac{4+10}{2}=7\\ \\y_O=\dfrac{10+2}{2}=6

So, O(7,6)

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A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours?
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Answer:

Step-by-step explanation:

38/2=19x7=133

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3 years ago
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There are 1,023 M&M's in a bag. Out of 1,023 M&M's, 132 M&M's are blue, 69 are green, 68 are brown, 63 are olive, 62
lesantik [10]

The probability that the person pulls 1 blue M&M given that one is only allowed to pull 5 random M&M's per day will be 0.6450.

<h3>How to calculate probability?</h3>

From the information given, there are 1,023 M&M's in a bag and out of 1,023 M&M's, 132 M&M's are blue.

Therefore, the probability of getting a blue M&M will be:

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Therefore, since the person is given the chance to pull 5 random M&M's per day, the probability will be:

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Learn more about probability on:

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2 years ago
Which equation is best represented by the graph above (x+1)(x-3)(x+2). please explain why
Nat2105 [25]
<h3>Answer:</h3>

y = (x +2)(x -1)(x -3) . . . . or . . . . y = x³ -2x² -5x +6

<h3>Step-by-step explanation:</h3>

The graph shows y=0 at x=-2, x=1, and x=3. These are called the "zeros" or "roots" of the function, because the value of the function is zero there.

When "a" is a zero of a polynomial function, (x -a) is a factor. This means the factors of the graphed function are (x -(-2)), (x -1) and (x -3). The function can be written as the product of these factors:

... y = (x +2)(x -1)(x -3) . . . . . the equation represented by the graph

Or, the product can be multiplied out

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... y = x³ -2x² -5x +6 . . . . . the equation represented by the graph

7 0
3 years ago
Help me once more please
Damm [24]
The graph that Franco is Incorrect
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At 12:00 noon two Mississippi steamboats are 126 miles apart. At 6:00 p.m. they pass each other going in opposite directions. If
Anna35 [415]
Just add 126 + 9 = 135 easy

4 0
3 years ago
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