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gtnhenbr [62]
4 years ago
8

What is the distance between P(0, 14) and Q(5, -2)?

Mathematics
1 answer:
Sophie [7]4 years ago
3 0
P(x₁ , y₁) and Q(x₂ , y₂) ↔ [ P(0,14)    Q(5, - 2)]
Distance = PQ = √[(x₂ - x₁)² + (y₂ - y₁))²]

PQ = √[(5 - 0)² + (- 2 - 14)²]

PQ =  √[(25 + 256]

PQ =  √281

PQ = 17.76

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Answer:

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Step-by-step explanation:

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X+2y + z = 4<br> 1. 4y - 3z = 1<br> y + 5z = 6
Feliz [49]

Answer:

The values of x = y = z = 1  

Step-by-step explanation:

Given three linear equation as ,

x + 2y + z = 4               .......a

     4y - 3z = 1               .......b

       y + 5z = 6             ........c

Now solve eq a and b first

   4y - 3z = 1   ×  5

    y + 5z = 6  ×  3

Or, 20y - 15z = 5

      3 y + 15z = 18

so ,(20y - 15) + (3y +15 ) = 5 +18

or,   23 y = 23  

∴           y = 1

Now put this y value in eq c

so , 1 + 5z = 6 ,

Or,       5z = 6-1 =5

∴            z = 1

Again put this y and z value in eq a

so, x + 2(1) + (1) = 4

Or,                x   = 4 -3

∴                   x = 1

Hence from the above solutions , the value of x = y =z = 1        Answer

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If using the method of completing the square to solve the quadratic equation
Assoli18 [71]

Answer:

The number would have to be added is 2

Step-by-step explanation:

To find the form of the completing square of the quadratic function:

  • Divide the coefficient of x by 2
  • Square the quotient
  • Subtract the numerical term from the square of the quotient

Let us do these steps with our question

∵ x² - 2x - 1 = 0

→ Divide the coefficient of x by 2

∵ The coefficient of x is -2

∴ -2 ÷ 2 = -1

→ Square the -1

∵ (-1)² = 1

→ Subtract the numerical term from 1

∵ The numerical term = -1

∵ 1 - (-1) = 1 + 1 = 2

∴ We must add 2 to -1 to get 1

→ (x² - 2x - 1 + 2) - 2 = 0

→ (x² - 2x + 1) = 2

→ (x - 1)² = 2

The number would have to be added is 2

4 0
3 years ago
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