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3 years ago

If AC=4 and BC=10, find AB (answer in simplest radical form)

Mathematics

1 answer:

Afina-wow [57]3 years ago

4 0

Answer:

Step-by-step explanation:

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Fernando had 2 children. Each of their children had 2 children, and each of these

rjkz [21]

Answer:

Step-by-step explanation:

Fernando-

Child 1- Child 2-

2 kids- 2 kids- = 4 grandchildren for Fernando

2 kids 2 kids These are his great grandchildren, not grandchildren.

7 0

2 years ago

Which statement best reflects the solution(s) of the equation?

Inessa [10]

x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

We need to solve the equation $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ and find values of x.

Solving:

Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)

Multiply the entire equation with x(x-1)

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}\\\frac{1}{x-1}*x(x-1)+\frac{2}{x}*x(x-1)=\frac{x}{x-1}*x(x-1)\\Cancelling\,\,out\,\,the\,\,same\,\,terms:\\x+2(x-1)=x^2\\x+2x-2=x^2\\3x-2=x^2\\x^2-3x+2=0$

Now, factoring the term:

$x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0\\x-1=0\,\,and\,\, x-2=0\\x=1\,\,and\,\, x=2$

The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ the denominator becomes zero i.e

$\frac{1}{1-1}+\frac{2}{1}=\frac{1}{1-1}\\\frac{1}{0}+2=\frac{1}{0}$

which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2 in the equation,

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$

$\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2$

So, x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

#learnwithBrainly

5 0

3 years ago

Help please..<br><br> find the area of the region that lies inside both curves

just olya [345]

Too hard for me. I'm only in 5th grade

7 0

3 years ago

During the summer, the population of spring lake is 30,155. During the winter, the population drops down to 13,876. How many peo

aleksley [76]

30,155-13,876=16,279
16,279 people spend on the summer months in spring lake.

3 0

3 years ago

Read 2 more answers

What is the value of –1.9 – q when q = 6.7?

inessss [21]

I gotchu the answer is -8.6

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3 years ago