Prove the diagonals of a parallelogram bisect one another. Be sure to create and name the appropriate geometric figures.

hodyreva [135]

D

You need to use trigonometry, and square all of the numbers, you then add the lowest two and they should sum to the other number.

The set that this works for is the correct set.

Hope this helps x

8 0

2 years ago

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In the derivation of the quadratic formula by completing the square, the equation (x+b over 2a)^2=-4ac+b^2 over 4a^2 is created

vredina [299]

Answer:

The result of applying the square root property of equality to this equation is $x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$ .

Step-by-step explanation:

Consider the provided equation.

$\left(x+\dfrac{b}{2a}\right)^2=\dfrac{-4ac+b^2}{4a^2}$

As the above equation is formed by perfect square trinomial so simply applying the square root property as shown:

$\sqrt{(x+\dfrac{b}{2a})^2}=\pm \dfrac{\sqrt{-4ac+b^2}}{\sqrt{4a^2}}\\x+\dfrac{b}{2a}=\pm \dfrac{\sqrt{b^2-4ac}}{2a}$

Isolate the variable x.

$x=-\dfrac{b}{2a}\pm \dfrac{\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Hence, the result of applying the square root property of equality to this equation is $x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$ .

4 0

2 years ago

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A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.

Dennis_Churaev [7]

Answer:

Margin of error at 90% is 0.024

Margin of error at 99% is 0.037

Step-by-step explanation:

Sample size = 1076

A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.

So, No. of adults said they believe ghosts = $\frac{64}{100} \times 1076=688.64\sim 688$

So, x = 688

n = 1076

$\widehat{p} = \frac{x}{n}$

$\widehat{p} = \frac{688}{1076}$

$\widehat{p} = 0.639$

$ME=z \times \sqrt{\frac{\widehat{p}(1-\widehat{p})}{n}}$

z at 90% confidence is 1.64

$ME=1.64 \times \sqrt{\frac{0.639(1-0.639)}{1076}}$

$ME=0.024$

So, margin of error at 90% is 0.024

Find the margin of error needed to be 99% confident.

z at 99% confidence is 2.58

$ME=2.58 \times \sqrt{\frac{0.639(1-0.639)}{1076}}$

$ME=0.024$

So, margin of error at 99% is 0.037

5 0

2 years ago

You’re assembling desserts with a friend. Together you can make 12 desserts in five minutes. Two more friends arrive and you are

Dafna1 [17]

Well there's 10 minutes in the second part so first 48/2 is 24. Now 24/4 (since there's 4 people so far) is 6, now 6*6 because there's now 6 people in total so the final answer is 36 in 5 minutes

8 0

2 years ago

What triangle is 3,7,9

Marta_Voda [28]

9^ ? 3^2 + 7^2
81 ? 9 + 49
81 > 58

c^ > a^2 + b^2
answer is obtuse triangle

5 0

2 years ago