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2 years ago

15

What is the length, in units, of the line segment with endpoints at (1, 4) and (3, 7)?

2 answers:

uranmaximum [27]2 years ago

3 0

Answer:

√13

Step-by-step explanation:

GuDViN [60]2 years ago

3 0

Square root of 13 I hope this helps!

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Which angles are complementary to

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Complementary angles add up to 90°

∠BDC + ∠CDA = 90°

Answer: ∠BDC

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3 years ago

Oduvanchick [21]

Answer:

Step-by-step explanation:

There are several approach to solving a quadratic equation; factorization, completing the square, the use of 'the almighty formula etc. Though i didn't see the steps you followed in solving, but from your answer, it is obvious you made good attempt but something is missing, your answer should be (5+√57)/2 or (5-√57)/2

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3 years ago

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I need help with finding the circumference of a circle.

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circumference of circle = 2×radius of a circle.

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2 years ago

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60 is 40 percent of what number

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3 years ago

Simplify this equation <br> Thanks a lot!!!

den301095 [7]

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

$\bf\implies a^m \times b^m = (ab)^m$

Using this property , we have ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

This can be written as ,

$\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}$

Simplifying using ( a+b)(a-b) = a² - b² ,

$\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1}$

Subtracting the numbers inside the brackets ,

$\rm\implies (-1)^{2n - 1 }$

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the <u>power is odd</u> .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

$\rm\implies\boxed{\quad \red{ -1 }\quad }$

<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>(</u><u>-</u><u>1</u><u>)</u><u> </u><u>.</u>

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3 years ago