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3 years ago

Simplify the expression

Mathematics

2 answers:

strojnjashka [21]3 years ago

8 0

Look at the attached picture

Hope it will help you....

Good luck on your assignment

svetlana [45]3 years ago

5 0

Answer:

for number one the it is c

Step-by-step explanation:

(6-3)^2

3^2=9

because 3 times 3 equal to 9

it just like saying what is the answer when you multiply the number by its self

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Please find the value of x

monitta

Answer:

x = 84

Step-by-step explanation:

The two angles form a line

A line is 180 degrees

x+11 +85 = 180

Combine like terms

x+96 = 180

Subtract 96 from each side

x+96-96 = 180-96

x = 84

6 0

3 years ago

Read 2 more answers

The number five added to the product of 8 and -9 is what number? The number is___

Nataly_w [17]

Answer:

-67

Step-by-step explanation:

8 x -9 = -72 + 5 = -67

6 0

3 years ago

Read 2 more answers

2. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i and 2-2i.

inna [77]

The polynomial equation for the given roots is x³-7x²+20x-24=0.

Given that, the polynomial equation of the smallest degree whose roots are 3, 2+2i and 2-2i.

Now, we need to write the polynomial equation.

<h3>What is a polynomial equation? </h3>

A polynomial equation is an equation where a polynomial is set equal to zero. i.e., it is an equation formed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It has different exponents. The highest one gives the degree of the equation. For an equation to be a polynomial equation, the variable in it should have only non-negative integer exponents. i.e., the exponents of variables should be only non-negative and they should neither be negative nor be fractions.

Now, x=3, x=2+2i and x=2-2i

x-3, x-2-2i and x-2+2i

So, the polynomial equation is (x-3)(x-2-2i)(x-2+2i)=0

⇒(x-3)(x(x-2-2i)-2(x-2-2i)+2i(x-2-2i))=0

⇒(x-3)(x²-2x-2xi-2x+4+4i+2xi-4i-4i²)=0

⇒(x-3)(x²-2x-2x+4-4i²)=0

⇒(x-3)(x²-4x+4+4)=0 (∵i²=-1)

⇒(x-3)(x²-4x+8)=0

⇒x(x²-4x+8)-3(x²-4x+8)=0

⇒x³-4x²+8x-3x²+12x-24=0

⇒x³-7x²+20x-24=0

Therefore, the polynomial equation for the given roots is x³-7x²+20x-24=0.

To learn more about the polynomial equation visit:

brainly.com/question/20630027.

#SPJ1

3 0

2 years ago

The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I(dB)=10log[1/10], where I &a

Alexandra [31]

For this case we have the following equation:
$I(dB)= 10log(\frac{I}{I0})$
Where,
I: the intensity of a given sound
I0: the threshold of a hearing intensity
Substituting values in the given equation we have:
 $I(dB)= 10log(\frac{10^8I0}{I0})$
Rewriting the equation we have:
 $I(dB)= 10log(10^8)$
Then, by properties of logarithm we have:
 $I(dB)= 10(8)$
Finally we have:
 $I(dB)=80$
Answer:
The intensity, in decibles, [I(dB)], when I=10^8(I0) is:
D.80

8 0

4 years ago

Read 2 more answers

12,354,897 place each # in place value 245897just need to make sure I am right ...okay 2 =1million,4=1thousand,5=10 thousand,8=1

Mrrafil [7]

From the looks of things, you've certainly
mastered your place values ! Those are
all correct.

You did leave out the "10 millions place".
That's the ' 1 ' at the very beginning.

Oh ! You also left out the ' 3 '.
I'll let you name that one, because
I can see that you understand this stuff.

7 0

3 years ago