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Annette [7]
2 years ago
7

Simplify the expression. Write your answer without negative exponents.

Mathematics
1 answer:
Phoenix [80]2 years ago
8 0

Answer:

-5/ (x^19 * y^12)

Step-by-step explanation:

-15x^-10 * y ^ -3 * x^-9 * y^-9/3 (It's writing it like this.)

15 and 3 have a GCF of 3.

-5x^-10 * y^-3 * x^-9 * y^-9/1

Reduce similar occurrences. *twice in a row*

-5x^(-10 + (-9)) * y^(-3 + (-9))/1

Remove extra signs *twice in a row*

-5x^(-10 - 9) * y^(-3 - 9)/1

Remove extraneous 1.

-5x^(-10 - 9) * y^(-3 - 9)

Add integers.

-5x^-19 * y^-12

Negative powers change multiplication to division.

-5 / (x^19 * y^12) is the final answer.

Even with that, the simplified answer wouldn't have negative exponents because of the negative powers rule.

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Find the solution to the system of equations below.<br> 2y = 2x - 8<br> 2x + y = 5
ladessa [460]

Answer:

The solution to the system of equations is:

  • (x, y) = (3, -1)

The graph is attached below.

Step-by-step explanation:

Given the system of equations

2y = 2x - 8

2x + y = 5

Let us solve the system of equations using the elimination method

\begin{bmatrix}2y=2x-8\\ 2x+y=5\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}2y-2x=-8\\ y+2x=5\end{bmatrix}

Multiply y + 2x = 5 by 2:  2y + 4x = 10

\begin{bmatrix}2y-2x=-8\\ 2y+4x=10\end{bmatrix}

subtracting the equations

2y+4x=10

-

\underline{2y-2x=-8}

6x=18

solve 6x = 18 for x

6x=18

Divide both sides by 6

\frac{6x}{6}=\frac{18}{6}

simplify

x=3

For 2y - 2x = -8  plug in x = 3

2y-2\cdot \:3=-8

2y-6=-8

Add 6 to both sides

2y-6+6=-8+6

Simplify

2y=-2

Divide both sides by 2

\frac{2y}{2}=\frac{-2}{2}

Simplify

y=-1

Therefore, the solution to the system of equations is:

  • (x, y) = (3, -1)

The graph is attached below.

8 0
2 years ago
The base of a rectangle is 13 centimeters longer than the height.If the perimiter is 58 centimeters find the base and the height
Yuri [45]

Answer:

Base: 8cm. Height: 21cm

Step-by-step explanation:

We know that the base of a rectangle is 13 cm. longer than the height and the perimeter is 58 cm. Here is how we would set up the problem:

2x+2(x+13)= 2x + 2x + 26 = 4x + 26 = 58 (now we use the distributive property:

4x + 26 = 58

       -26   -26

4x = 32

So, the base is 8 cm.

Now it's time to find the height.

So, we know the base (in total) is 16 cm. Now we do 58-16=42. Now we divide 42 divided by 2 = 21 cm.

8 0
2 years ago
Identify the TRUE statement relating to a property of the function y = sin x
svlad2 [7]

The true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

<h3>Properties of the function</h3>

The following are the properties of the sin trigonometric ratio of the function;

  • The sine graph rises till +1 and then falls back till -1 from where it rises again.
  • The function y = sin x is an odd function
  • The domain of y = sin x is the set of all real numbers
  • The range of sine function is the closed interval [-1, 1]
  • The amplitude of the function is half its range value
  • One cycle of the function is 6. 28

From the above listed deductions, we can see that the true statement about the function y = sin x is that the range which is always known as the maximum and minimum values of the function are 1 and - 1 respectively.

Thus, the true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

Learn more about the sine function here:

brainly.com/question/9565966

#SPJ1

6 0
2 years ago
Solve the value for v.
NemiM [27]

Answer:

Hey mate !!

Your answer is so simple :)

<h2>V= 9°</h2>

Go through the explanation to understand.

Step-by-step explanation:

In the given question,

We see that 105° and it's adjacent angle (i.e. 8v+3° ) forms a supplementary angle. Which means the sum of 8v+3°+105° is 180°

<h3>Therefore,</h3>

According to the question

105 + 8v + 3 = 180

=  > 105 + 8v = 180 - 3

=  > 8v =  177 - 105

=  > 8v = 72

=  > v =  \frac{72}{8}

=  > v = 9

Answer the value of v is 9° .

Hope it helps you!!

#IndianMurga ツ

3 0
2 years ago
PLEASE SOMEONE HELP ASAPPPPPPPPPPPPPPPPPPPP
SashulF [63]
Misha would combine 3x-2x and-8-7
5 0
3 years ago
Read 2 more answers
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