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melamori03 [73]
2 years ago
5

What is the factor of

{x}^{2} - 6x - 27" alt=" {x}^{2} - 6x - 27" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Ksju [112]2 years ago
6 0

Answer:

(x - 9)(x + 3)

Step-by-step explanation:

Given

x² - 6x - 27

Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)

The factors are - 9 and + 3, since

- 9 × 3 = - 27 and - 9 + 3 = - 6, thus

x² - 6x - 27 = (x - 9)(x + 3)

andreyandreev [35.5K]2 years ago
5 0

Answer:

9 is correct answer

Step-by-step explanation:

{x}^{2}  - 6x - 27 \\  =  {x}^{2}  - 9x + 3x - 27 \\  =  x(x - 9) + 3(x - 9) \\  = (x + 3)(x - 9)

x=9

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Find the volume of the cubes or rectangular prisms in cubic centimeters.
DanielleElmas [232]

a) Volume of Rectangular prism is \frac{36}{125}\,\,cm^3

b) Volume of cube is \frac{8}{125}\,\,cm^3

c) Volume of cube is \frac{1}{125}\,\,cm^3

d) Volume of Rectangular prism is \frac{6}{125}\,\,cm^3

Step-by-step explanation:

Part a)

Volume of rectangular prism with

length= \frac{3}{5}\,\,cm

width= \frac{4}{5}\,\,cm

height = \frac{3}{5}\,\,cm

The formula used to find Volume of rectangular prism is:

Volume\,\,of\,\,rectangular\,\,prism=length*width*height

Putting values:

Volume\,\,of\,\,rectangular\,\,prism=\frac{3}{5} *\frac{4}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{36}{125}\,\,cm^3

So, Volume of Rectangular prism is \frac{36}{125}\,\,cm^3

Part b)

Volume of cube with side length of \frac{2}{5}\,\,cm

The formula used to find Volume of cube is:

Volume\,\,of\,\,cube=length^3

Putting value of length and finding volume:

Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{2}{5})^3\\ Volume\,\,of\,\,cube=\frac{8}{125}\,\,cm^3

So, Volume of cube is \frac{8}{125}\,\,cm^3

Part c)

Volume of cube with side length of \frac{1}{5}\,\,cm

The formula used to find Volume of cube is:

Volume\,\,of\,\,cube=length^3

Putting value of length and finding volume:

Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{1}{5})^3\\ Volume\,\,of\,\,cube=\frac{1}{125}\,\,cm^3

So, Volume of cube is \frac{1}{125}\,\,cm^3

Part d)

Volume of rectangular prism with

length= \frac{1}{5}\,\,cm

width= \frac{2}{5}\,\,cm

height = \frac{3}{5}\,\,cm

The formula used to find Volume of rectangular prism is:

Volume\,\,of\,\,rectangular\,\,prism=length*width*height

Putting values:

Volume\,\,of\,\,rectangular\,\,prism=\frac{1}{5} *\frac{2}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{6}{125}\,\,cm^3

So, Volume of Rectangular prism is \frac{6}{125}\,\,cm^3

Keywords: Volume

Learn more about Volume at:

  • brainly.com/question/6443737
  • brainly.com/question/12497249
  • brainly.com/question/12613605

#learnwithBrainly

6 0
3 years ago
23 times what equals 500
Anna11 [10]

Answer:

23 times 22 equals 506 but 23 times nothing can equal 500 thats what i think hope it helps in someway ig idk

Step-by-step explanation:

3 0
2 years ago
Find the area. Round to the nearest tenth.
olga_2 [115]

Answer:

Step-by-step explanation:

The area of a triangle is

A=\frac{1}{2}bh and we have the base (12m) and we need to find the height. Using Pythagorean's Theorem:

6^2=4^2+h^2\\36=16+h^2\\20=h^2\\h=2\sqrt{5}

That's the height that we will sub into the area formula:

A=\frac{1}{2}(12)(2\sqrt{5})\\A=12\sqrt{5}\\A=26.8

8 0
2 years ago
PLEASE HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!! 3) This problem is called the Collatz Conjecture and is an unproven statement in ma
Aneli [31]

The set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

<h3>How to generate the numbers in the Collatz Conjecture</h3>

To start with, we make use of the following starting point:

Starting point = 1

The rule is given as:

  • If the last number is odd, multiply it by 3 and add 1.
  • If the last number is even, divide the number by 2.

1 is an odd number.

So, we use the first rule

So, we have:

1 * 3 + 1 = 4

4 is an even number.

So, we use the second rule

So, we have:

4/2 = 2

So, the first three numbers in the Collatz Conjecture are:

1, 4, 2

Using the given rules, we have:

1, 4, 2, 1, 4, 2, 1, 4, 2....

The above means that there is only one set of repeating numbers in the Collatz Conjecture.

Hence, the set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

<h3>Fibonacci sequence</h3>

The first and the second numbers are given as:

First = 2

Second = 5

The current term of a Fibonacci sequence is the sum of the previous two terms.

Using the above rule, the first 10 terms are:

2, 5, 7, 12, 19, 31, 50, 81, 131, 212

<h3>The sum of the first 10 terms of the new sequence</h3>

We have:

2, 5, 7, 12, 19, 31, 50, 81, 131, 212

Add the terms

Sum = 2+ 5+ 7+ 12+ 19+31+50+81+131+212

Evaluate

Sum = 550

Hence, the sum of the first 10 terms of the new sequence is 550

Read more about sequence at:

brainly.com/question/7882626

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7 0
2 years ago
Solve for x <br><br> PLEASEE HELP
Paraphin [41]
I think the answer is 3

Explanation:
Since both equation are the same put them equal to each other

34x+3=-3+36x
Subtract 34x 36x-34x=2x
Then add three to both sides
So, 2x=6 Then divide x=3
6 0
2 years ago
Read 2 more answers
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