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3 years ago

What is the answer to a line GH passes through points (2,5) and (6,9). Wich equation represents line GH

Mathematics

1 answer:

Vadim26 [7]3 years ago

5 0

The answer is y = x + 3

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Is writing a 3 before a square root symbol the same as writing it after a square root symbol?

attashe74 [19]

This depends as to whether you are just multiplying the square root by 3, or are doing a cube root function. In a cube root, the 3 would be located just at the bent part of the square root symbol, usually in a smaller font. If one just wanted to multiply a square root by 3, it does not matter whether or not the 3 comes before or after the root.

A cube root is equal to a value to the power of (1/3).

I hope this helps

4 0

4 years ago

Show that (n+3)2 - (n-3)2 is an even number for all positive interger values of n

Zolol [24]

$(n+3)^2-(n-3)^2=\\
n^2+6n+9-(n^2-6n+9)=\\
n^2+6n+9-n^2+6n-9=\\
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3 years ago

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Which expression is equivalent to 7(a+2) when a= 6?<br> O 7(6)<br> 916)<br> 0 7(6)+2<br> 7(6)+ 14

bearhunter [10]

Answer:

when a = 6, substitute 6 in the equation for a:

7(a + 2) = 7(6)+ 14

Step-by-step explanation:

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3 years ago

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The logarithm of a number to the base V2 is k. What is its logarithm to the base 2v2 ?

kakasveta [241]

Answer:

$log_{2\sqrt 2} X = \frac{1}{3}k$

Step-by-step explanation:

Given

Let the number be X

From the first statement, we have:

$log_{\sqrt 2} X = k$

Required

Find $log_{2\sqrt 2} X$

$log_{\sqrt 2} X = k$

using the following law of logarithm

$log_ab = n, b=a^n$

So:

$log_{\sqrt 2} X = k$

$X = \sqrt{2}^k$

Substitute: $X = \sqrt{2}^k$ in $log_{2\sqrt 2} X$

$log_{2\sqrt 2} X = log_{2\sqrt 2} ( \sqrt{2}^k)$

$log_{2\sqrt 2} X = klog_{2\sqrt 2} \sqrt{2}$

Apply the following law:

$log_ab = \frac{log\ b}{log\ a}$

$log_{2\sqrt 2} X = k\frac{log\ \sqrt 2}{log\ {2\sqrt 2}}$

Express the square roots as power

$log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2 * 2^\frac{1}{2}}}$

$log_{2\sqrt 2} X = k\frac{log\ 2^\frac{1}{2}}{log\ {2^\frac{3}{2}}}$

using the following law of logarithm

$log_ab = n, b=a^n$

$log_{2\sqrt 2} X = k\frac{\frac{1}{2}log\ 2}{\frac{3}{2}log\ 2}}$

$log_{2\sqrt 2} X = k\frac{\frac{1}{2}}{\frac{3}{2}}}$

Rewrite as:

$log_{2\sqrt 2} X = k * \frac{1}{2} \div\frac{3}{2}$

$log_{2\sqrt 2} X = k * \frac{1}{2} *\frac{2}{3}$

$log_{2\sqrt 2} X = k * \frac{1}{1} *\frac{1}{3}$

$log_{2\sqrt 2} X = \frac{1}{3}k$

4 0

3 years ago

Ƒ (x) = x² − 2x – 4.

Kisachek [45]

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2 years ago