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Tasya [4]
3 years ago
10

Find the distance between p and O(0,0). P(-12,16)

Mathematics
1 answer:
lapo4ka [179]3 years ago
5 0

Answer: 17.32

Step-by-step explanation:

1. The distance of O x-axis to P x-axis is 12

2. The distance of P y-axis to P y-axis is 16

3. Apply Pythagorean theorem √(12^2 +16^2)

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In simplest radical form, what are the solutions to the quadratic equation 6 = x2 - 10/?
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Answer:

x = 5 \± \sqrt{31}

Step-by-step explanation:

Given

6 = x^2 - 10x

Required

The solution in radical form

6 = x^2 - 10x

Rewrite as:

x^2 - 10x - 6 = 0

Using the quadratic formula, we have:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

Where

a = 1

b = -10

c = -6

So, we have:

x = \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*(-6)}}{2*1}

x = \frac{10 \± \sqrt{100 +24}}{2*1}

x = \frac{10 \± \sqrt{124}}{2}

Split the roots

x = \frac{10 \± \sqrt{4 * 31}}{2}

Express \sqrt 4 as 2

x = \frac{10 \± 2\sqrt{31}}{2}

Split the fraction

x = \frac{10}{2} \± \frac{2\sqrt{31}}{2}

x = 5 \± \sqrt{31}

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3 years ago
What is 70.371 to two decimal places
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Step-by-step explanation:

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