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AnnyKZ [126]
3 years ago
10

Which expression gives the length of pq in the triangle shown below?

Mathematics
2 answers:
alukav5142 [94]3 years ago
7 0
For this case what we should do is use the Pythagorean theorem.
 We have then:
 PQ ^ 2 = 15 ^ 2 + 19 ^ 2
 Clearing we have:
 PQ = root (15 ^ 2 + 19 ^ 2)
 Answer:
 
The expression used to find PQ is given by:
 
PQ = root (15 ^ 2 + 19 ^ 2)
 
option C
Ira Lisetskai [31]3 years ago
4 0
We have to use the Pythagorean theorem.
 So it will be:
 PQ ^ 2 = 15 ^ 2 + 19 ^ 2
 PQ = root (15 ^ 2 + 19 ^ 2)
 So the expression used to find PQ is given by:
 PQ = root (15 ^ 2 + 19 ^ 2)
 

So the answer would be letter C.

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2 years ago
( – 1, – 5) 7x+2y=13, 4x+4y=14
serious [3.7K]

Answer:

{x,y} = {6/5,23/10}

Step-by-step explanation:

 [1]    7x + 2y = 13

  [2]    4x + 4y = 14  <---------- linear equations given

Graphic Representation of the Equations : PICTURE
2y + 7x = 13        4y + 4x = 14  

Solve by Substitution :

// Solve equation [2] for the variable  y

[2]    4y = -4x + 14

[2]    y = -x + 7/2

// Plug this in for variable  y  in equation [1]

  [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

  [1]    5x = 6

  [1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

   y = -(6/5)+7/2 = 23/10

// Plug this in for variable  y  in equation [1]

 [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

 [1]    5x = 6

[1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

  y = -(6/5)+7/2 = 23/10

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2 years ago
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Answer:

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Step--step explanation:

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Multiply the numerators and the denominators:

= 1*4 / 2*7

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madreJ [45]

Answer:

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Step-by-step explanation:

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As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.

64^\frac{x}{y} = \sqrt[y]{64^{x}}

Both the original problem (64^2/3) and the converted formula can be put into a calculator.

<u>Simplify (if you want to)</u>

<u />\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16<u />

<u />

64 to the power of 2/3 is 16.

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