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Minchanka [31]
3 years ago
15

If x ¤ y = (x + y)² - (x - y)² Then √5 ¤ √5 =

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0
x\ \diamond\ y=(x+y)^2-(x-y)^2=x^2+2xy+y^2-(x^2-2xy+y^2)\\\\=x^2+2xy+y^2-x^2+2xy-y^2=4xy\\\\\sqrt5\ \diamond\ \sqrt5=4\cdot\sqrt5\cdot\sqrt5=4\cdot5=20
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Calculate the distance between the points P=(-1, -1) and L=(6, -9) in the coordinate plane.
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Answer:

≈ 10.63

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = P(- 1, - 1) and (x₂, y₂ ) = L(6, - 9)

d = \sqrt{(6-(-1))^2+(-9-(-1))^2}

   = \sqrt{(6+1)^2+(-9+1)^2}

   = \sqrt{7^2+(-8)^2}

   = \sqrt{49+64}

   = \sqrt{113} ≈ 10.63 ( to the nearest hundredth )

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3 years ago
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3 years ago
Conditional statement
Akimi4 [234]
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3 years ago
WILL MARK BRAINLIEST IF CORRECT
Virty [35]

Answer:

5/6

Step-by-step explanation:

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Read 2 more answers
An NBC News/Wall Street Journal poll conducted in 2010 predicted that 61% of Americans did not support the Tea Party movement. I
fomenos

Answer:

The right answer is:

The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.

Step-by-step explanation:

At a level of significance of 5%, a P-value of 0.026 (2.6%) means that the difference is significant and the null hypothesis is rejected.

The difference between the proportions is significant, what means that more than 61% of Americans oppose the Tea Party movement this year.

Note: The difference in the sample proportions (3%) is not enough to claim that the difference is significant.

The right answer is:

The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.

5 0
3 years ago
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