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2 years ago

Please Help ASAP! Urgent! Will give Brainliest!

Mathematics

1 answer:

IRISSAK [1]2 years ago

6 0

Answer:

Step-by-step explanation:

f(n − 1) + 10

f= (4-1) = 3

3+10= 13

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triangle abc has 2 interior angles with measures of 102 and 43 which of the following could be the measure of an exterior angle

VARVARA [1.3K]

What are the options?

5 0

2 years ago

Read 2 more answers

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 me please thank you

oee [108]

Hello from MrBillDoesMath!

Answer:

2(x+8) = 40

Discussion:

Rewrite the original Question as

" Twice the (sum of a number and 8) is 40" =>

2 ( x + 8 ) = 40 =>

2 (x+8) = 40

which is the third bullet point from the top

Thank you,

MrB

7 0

3 years ago

PLEASE HELP I WILL GIVE BRAINLYEST AWNSER IF YOU AWNSER ALL THE PROBLEMS IN ALL THE QUESTION

bixtya [17]

Answer:

7) Mean = 48 8) Mean = 59.6 9) Mean = 31.6 10) Mean = 42.1

Median = 47.5 Median = 61 Median = 32 Median = 40

Mode = 72 Mode = 90 Mode = 46 Mode = 51

Range = 66 Range = 79 Range = 34 Range = 51

Step-by-step explanation:

7 0

3 years ago

What is the scale factor from ADEF to AABC? 10 6 20 12 А 7 14

tigry1 [53]

Answer:

The scale factor is 1/2

Step-by-step explanation:

Given

$\triangle DE F$ and $\triangle ABC$

Required

The scale factor from $\triangle DE F$ to $\triangle ABC$

Take a corresponding side in both triangles.

We have:

$DE= 20$ $AB = 10$

The scale factor from $\triangle DE F$ to $\triangle ABC$ is:

$k =\frac{AB}{DE}$

$k =\frac{10}{20}$

$k =\frac{1}{2}$

8 0

2 years ago