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2 years ago

Select the simplification that accurately explains the following statement. √9=9 1/2

Mathematics

2 answers:

lesya692 [45]2 years ago

6 0

All answers are the same, 9, but only the first choice follows a correct simplification.

slega [8]2 years ago

4 0

Answer:

Option A is correct.

Step-by-step explanation:

Given: $\sqrt{9}=9^{\frac{1}{2}}$

To find: True Statement for $(9^{\frac{1}{2}})^2$

We use the following Law of Exponent,

$x^a\times x^b=x^{a+b}$

Consider,

$(9^{\frac{1}{2}})^2$

$=9^{\frac{1}{2}}\times9^{\frac{1}{2}}$

Using Law of Exponent,

$=9^{(\frac{1}{2}+\frac{1}{2})}$

$=9^{\frac{1+1}{2}}$

$=9^{\frac{2}{2}}$

$=9^{1}$

$=9$

Therefore, Option A is correct.

You might be interested in

Use the elimination method to solve this system.

leva [86]

Answer:

The solution for this system is: $x = -1, y = 1$

Step-by-step explanation:

The problem states that we have to solve this system by the elimination method

In the elimination method, we transform the system in such a way that one variable can cancel each other. With this, we find the result of the other variable. Then, we can replace the variable we found in any of the equations, and we have the value of the variable that we had initially canceled.

In this problem, we have the following system:

$1) -6x + 5y = 1$

$2) 6x + 4y = -10$

If we add equations 1) and 2), the variable x is going to be eliminated

$1) + 2)$

$-6x + 6x + 5y + 4y = 1 - 10$

$9y = -9$

$y = \frac{-9}{9}$

$y = -1$

Now, we can replace the value of y in any of the equations, to find x:

I will replace in equation 2)

$6x + 4y = -10$

$6x + 4(-1) = -10$

$6x = -6$

$x = \frac{-6}{6}$

$x = -1$

The solution for this system is: $x = -1, y = 1$

5 0

2 years ago

How do you multiply 12x12 step by step?

geniusboy [140]

Answer:

144

Step-by-step explanation:

X12

------

If you are writing this problem out by hand, be sure that your numbers are lined up, like above. This will help you in making sure that you solve each step of your problem properly.

First, start with the 12. Multiply 12 by the "2" in the one's place, in the second number:

X 2

-----

Begin by multiplying 2 X 2 first, in the "ones" column.

Do you have 2X2=4? Great! Put the 4 in the ones column, where your answer would go.

Next, multiply 2 times the 1 digit. The 1 is actually a 10, because it is in the "tens" column.

2 X10=20

Place your 2 in the "tens" column--It should look like this...

X 2

-----

Since you are finished with the "ones" place, now you will work with the tens column.

put a zero under the 4 in 24.

then continue like this

X12

-----

120 because 12 X10=120

------

144 If you add 24 +120, you should have 144.

If you have a slightly different way of doing this problem, that's OK. The point is to get the correct answer.

If you have a times table, you can check yourself.

12 X12=144

8 0

3 years ago

Read 2 more answers

there are 72 new houses being built in a neighborhood. Last month, 1/3 of them were sold. This month, 5/8 of the remaining house

Nataly_w [17]

Answer:

15 houses

Step-by-step explanation:

1/3 * 72 = 24

5/8 * 24 = 15

7 0

3 years ago

Determine if the graph is a function then state the domain and range.

nignag [31]

<h3>Explanation</h3>

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Draw a vertical line. Make sure that a line passes through a graph.
See if a line intercepts a graph more than one point or just only one.

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3>Answer</h3>

 $\begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}$ 

Domain is set of all real numbers.

Range is greater or equal to 0.

8 0

2 years ago

Pls answer ASAP neeeddd

Anna007 [38]

Answer:

The answer is Tangent.

Step-by-step explanation:

Given that Tangent Rule is tanθ = opposite/adjacent. In this question, opposite is 11, adjacent is x and θ is 21°.

So using this formula, you are able to find the value of x.

7 0

3 years ago