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Svet_ta [14]
3 years ago
5

The rule which allows us to change the sign of an exponent is called the ____ rule.

Mathematics
1 answer:
Bogdan [553]3 years ago
6 0

Answer:

The rule which allows us to change the sign of an exponent is called the <u>negative exponent</u> rule.

Step-by-step explanation:

Consider the provided information.

The negative exponent rule is the rule which allows to change the sign of an exponent.

x^{-1}=\frac{1}{x}

According to negative exponent rule: A negative exponents in the numerator moved to the denominator and become positive exponents.

If A negative exponents in the denominator moved to the numerator and become positive exponents.

Hence, the required statement is: The rule which allows us to change the sign of an exponent is called the <u>negative exponent</u> rule.

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The y intercept will be (0,-9) and the x-intercept will be (-3.5, 0)
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3 years ago
Graph the function defined by f(x) = (x+21)
Inga [223]

Answer:

A

Step-by-step explanation:

Consider the parent function y=|x|. The graph of this function is represented as red graph in attached diagram.

Now consider the function y=|x+2|.

Remind main translations of the graph of the function y=f(x):

  • y=f(x-a) - translation a units to the right;
  • y=f(x+a) - translation a units to the left;
  • y=f(x)+a - translation a units up;
  • y=f(x)-a - translation a units down.

In your case, the graph of the function y=|x+2| is translated graph of the function y=|x| 2 units to the left (blue graph). So, correct answer is option A.

5 0
2 years ago
Determine which measure of center best represents the best data. Explain.​
Monica [59]

Answer:

Step-by-step explanation:

I always like to use the mean if I can. In this data set, it's probably not a very good idea. Too much weight is given to that 7.2 and the two 3.2s.

I would choose the median, because the mode is the same answer and that's a good enough reason for choosing anything. 2 out 3 isn't bad as they say in Baseball.

6 0
3 years ago
What is the longest line segment that can be drawn in a right rectangular prism that is 14cm​ long, 13cm​ wide, and 11cm​ tall?
vlabodo [156]

The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

<h3>What is a right rectangular prism?</h3>

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

(diagonal)^{2} = (length)^{2} + (width)^{2}

(diagonal)^{2} = (14)^{2} + (13)^{2}

                 = 196 + 169 = 365

 (diagonal)^{2} = 365

diagonal = \sqrt{365} = 19.1cm

In conclusion, the length of the longest diameter is 19.1cm

Learn more about Right rectangular prism: brainly.com/question/3317747

#SPJ1

               

4 0
1 year ago
Quadrilateral CAMP below is a rhombus. The length of PQ is (x + 2) units, and the length of QA is
Phoenix [80]

Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.

<u>Step-by-step explanation:</u>

As given by the statement in the problem,

Q may be the middle point, which cut the diagonal PA into 2 equal halves.

In rhombus, diagonals meet at right angles.

which means that PQ = QA

x+2 = 3x - 14

Grouping the terms, we will get,

3x -x = 14+ 2

2x = 16

dividing by 2 on both sides, we will get,

x = 16/2 = 8

8+2 = 3(8) - 14 = 10 = PQ or QA

3 0
3 years ago
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