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3 years ago

Which set of side lengths is a pythagorean triple

1 answer:

4 0

Several examples of side lengths that are Pythagorean triples are the following with the corresponding side lengths A, B, C:

(5, 12, 13), (7, 24, 25), (3, 4, 5)

-E :)

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Can someone help me with this thank you

levacccp [35]

Answer:

Step-by-step explanation:

This quadratic factors.

x^2 - 15x + 56

= (x - 7)(x - 8)

x - 7 = 0

x = 7

=====

x - 8 = 0

x = 8

====

{7,8}

5 0

3 years ago

What are the potential solutions of log4x+log4(x+6)=2?

lions [1.4K]

The potential solutions of $log_4x+log_4(x+6)=2$ are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

Product Rule for Logarithms - $log_{b}(a*c)=log_{b}a+log_{b}c$
Quotient Rule for Logarithms - $log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c$
Power Rule for Logarithms - $log_{b}(a^c)=c*log_{b}a$

The exercise asks the potential solutions for $log_4x+log_4(x+6)=2$ . In this expression you can apply the Product Rule for Logarithms.

$log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0$

Now you should solve the quadratic equation.

Δ= $b^2-4ac=36-4*1*(-16)=36+64=100$ . Thus, x will be $x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}$ . Then:

$x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8$

The potential solutions are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0

2 years ago

Simply the attached question

Finger [1]

Answer:

=x⁴−x³−14x²

Step-by-step explanation:

<h3>Let's simplify step-by-step.</h3>

x²(3x²+5x−4)−2x²(x²+3x+5)

<h3>Distribute:</h3>

=(x²)(3x²)+(x²)(5x)+(x²)(−4)+−2x⁴+−6x³+−10x²

=3x⁴+5x³+−4x²+−2x⁴+−6x³+−10x²

<h3>Combine Like Terms:</h3>

=3x⁴+5x³+−4x²+−2x⁴+−6x³+−10x²

=(3x⁴+−2x⁴)+(5x³+−6x³)+(−4x²+−10x²)

=x⁴+−x³+−14x²

=x⁴−x³−14x²

6 0

2 years ago

You are working as an office apprentice for the bksb Newcastle Arena.

makvit [3.9K]

Answer:

Mean = £1.8 million

Step-by-step explanation:

The MEAN is the sum of all the numbers divided by the number of numbers.

<u>There are 5 numbers in total</u>
<u>The sum is $1.4+1.6+1.8+2.5+1.7=9$ million</u>

Hence the mean is $\frac{9}{5}=1.8$ million

5 0

3 years ago

Help me answer this please

nikitadnepr [17]

Answer:

x=115 y=65

Step-by-step explanation:

You get 115 for X because angle x is vertical to 115 degrees.

You get 65 because y is supplementary to x, and 180-65=115.

4 0

3 years ago

Read 2 more answers