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Alinara [238K]
3 years ago
11

Which exponent makes the statement true?

Mathematics
1 answer:
almond37 [142]3 years ago
8 0

Definition of negative exponent:

a^{-n} = \dfrac{1}{a^n}

Following the definition, we have:

\dfrac{1}{5^9} = 5^{-9}

Answer: -9

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What is the length of x?
Marat540 [252]

Answer:

The length of 'x' is 4

Step-by-step explanation:

We can use the pythagorean theorem to solve this.

The pythagorean theorem is:

a ^{2}  + b^{2}  =  {c}^{2}

a ^{2}  + b^{2} =  c^{2}  \\  {3}^{2}  +  {b}^{2}  = 5^{2}  \\ 9 +   {b}^{2}  = 25 \\  \frac{ - 9 \:  \:  \:  \:  \:  \:  \:  \:  =  - 9}{b ^{2}  =  \sqrt{16} }  \\ b = 4

Therefore x = 4

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Step-by-step explanation:

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2 years ago
Using the image below, where would the coordinates of point A be if the triangle was translated by ⟨x−4,y+3⟩?
Dennis_Churaev [7]

Answer:

(-9,4)

Step-by-step explanation:

so we are going to take the original coordinates (-5,1) and to the operation that the question wants us to do (x-4,y+3) by subsitituing the variables in so we get (-5-4,1+3)

Answer: (-9,4)

6 0
2 years ago
What is the length of segment BC? A coordinate plane is shown. Point B is located at negative 3, negative 2, and point C is loca
Mrac [35]
The length of segment BC can be determined using the distance formula, wherein, d = sqrt[(X_2 - X_1)^2 + (Y_2 - Y_1)^2]. The variable d represent the distance between the two points while X_1, Y_1 and X_2, Y_2 represent points 1 and 2, respectively. Plugging in the coordinates of the points B(-3,-2) and C(0,2) into the equation, we get the length of segment BC equal to 5.  
4 0
3 years ago
Read 2 more answers
If the temperature changed at a rate of -3 per hour,then after how many hours did the temperature reach -12
Oxana [17]

Answer:

If temperature is 0 then it takes 4 hours since 3 x 4 = 12 and 0 - 12 = -12

Whatever the temperature divide by three to get to 0 then add four to the quotient

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