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kakasveta [241]
3 years ago
12

How many solutions does the system have? y=−3x+5 y=x2−3x+5

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0
Only one :

x = 0
y = 5
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If you roll a fair six-sided die and a fair four-sided die, what is the probability that the dice add to 7?
sveticcg [70]

1/6.

For any given roll on a four-sided die, there is exactly one roll on a six-sided die (1/6 chance) which will sum to 7.

Since it doesn’t matter what you roll on the four-sided die, the chance is always 1/6 with a fair six-sided die.

One interesting result of this is that only the 6-sided die has the be fair for this result to hold. The 4-sided die can be very biased in any direction and the final result will still be 1/6.

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Answer:

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2 years ago
What is the area of the square adjacent to the third side of the triangle?
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Answer:

85 units^2 = Area of Blue Square

and

x = 5 units

Step-by-step explanation:

To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.

Since we know the area of a square is the side length multiplied by itself (or the side length squared), \sqrt{35} is the side length of the pink square and \sqrt{50} is the side length of the green square.

That means a = \sqrt{35} and b = \sqrt{50} , so...

(\sqrt{35} )^{2} + (\sqrt{50})^{2}  = c^{2}

35 + 50 = c^2

85 = c^2

\sqrt{85} = c

Now we need to square the square root of 85 to find the area of the blue square.

(\sqrt{85})^{2}  = Area of blue square

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To solve the other question we use the same formula again.

x^2 + 12^2 = 13^2\\x^2 +144 = 169\\-144\\x^2 =  25\\x=\sqrt{25} \\x=5

x = 5 units

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3 years ago
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Answer: D. Using the commutative property

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The sale price is $42. 70 x 0.60
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