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adell [148]
3 years ago
12

Can someone make sure my answers are correct

Mathematics
2 answers:
timurjin [86]3 years ago
7 0

Answer:

yep these are correct

Step-by-step explanation:

Zepler [3.9K]3 years ago
6 0

Answer:

Yes they are all correct. Great job!

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{x^2+6x-27/x^2-9x+18<br> how to solve step by step
Alika [10]

Answer:

Step-by-step explanation:

Step by Step Solution:

More Icon

STEP

1

:

5

Simplify ———————

x2 - 81

Trying to factor as a Difference of Squares:

1.1 Factoring: x2 - 81

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 81 is the square of 9

Check : x2 is the square of x1

Factorization is : (x + 9) • (x - 9)

Equation at the end of step

1

:

(((x2)-18x)+81) 5

———————————————•———————————

(((x2)-6x)-27) (x+9)•(x-9)

STEP

2

:

x2 - 18x + 81

Simplify —————————————

x2 - 6x - 27

Trying to factor by splitting the middle term

2.1 Factoring x2 - 18x + 81

The first term is, x2 its coefficient is 1 .

The middle term is, -18x its coefficient is -18 .

The last term, "the constant", is +81

Step-1 : Multiply the coefficient of the first term by the constant 1 • 81 = 81

Step-2 : Find two factors of 81 whose sum equals the coefficient of the middle term, which is -18 .

-81 + -1 = -82

-27 + -3 = -30

-9 + -9 = -18 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -9

x2 - 9x - 9x - 81

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-9)

Add up the last 2 terms, pulling out common factors :

9 • (x-9)

Step-5 : Add up the four terms of step 4 :

(x-9) • (x-9)

Which is the desired factorization

Trying to factor by splitting the middle term

2.2 Factoring x2-6x-27

The first term is, x2 its coefficient is 1 .

The middle term is, -6x its coefficient is -6 .

The last term, "the constant", is -27

Step-1 : Multiply the coefficient of the first term by the constant 1 • -27 = -27

Step-2 : Find two factors of -27 whose sum equals the coefficient of the middle term, which is -6 .

-27 + 1 = -26

-9 + 3 = -6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 3

x2 - 9x + 3x - 27

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-9)

Add up the last 2 terms, pulling out common factors :

3 • (x-9)

Step-5 : Add up the four terms of step 4 :

(x+3) • (x-9)

Which is the desired factorization

Canceling Out :

2.3 Cancel out (x-9) which appears on both sides of the fraction line.

Equation at the end of step

2

:

(x - 9) 5

——————— • —————————————————

x + 3 (x + 9) • (x - 9)

STEP

3

:

Canceling Out

3.1 Cancel out (x-9) which appears on both sides of the fraction line.

Final result :

5

—————————————————

(x + 3) • (x + 9)

5 0
2 years ago
If in a right triangle, the given legs are a = 10 and b=16, then by using the Pythagorean Theorem find the hypotenuse, c.
Reika [66]

Answer:

c=2\sqrt{89}

Step-by-step explanation:

Pythagorean theorem is:

c^{2} =a^{2} +b^{2}

c^{2}=10^{2}+16^{2}   \\c^{2} =100+256\\c^{2}=356\\c=\sqrt{356}  \\c=2\sqrt{89}

3 0
3 years ago
Which descriptions are true of the function shown in the table? Check all that apply.
forsale [732]

Answer:

Linear

y=3.2x

Step-by-step explanation:

on edge 2020

6 0
2 years ago
3. Identify each following representation as a function or nonfunctional and explain your reasoning.
Vaselesa [24]

Answer:

1.1

Step-by-step explanation:

I think it.

7 0
3 years ago
Read 2 more answers
Please help i will give brainiest!!!!!!!!!!!!!!!!!!!
Lorico [155]

Answer:

Part A: Two pieces of information that are provided by the graph is the median which is 55 and the range which is 20-95. Two piece of information that is not provided by the graph is the mean and mode.

Part B: The interquartile range of the data is 25. It represent the range between the amount of time in minutes that the students of a class surfed the internet.

I am not sure if this is all correct, but i tired. I hope this helps :)

4 0
3 years ago
Read 2 more answers
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