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Novosadov [1.4K]
3 years ago
13

Find the value of z​

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

z = 12 \sqrt{5}

Step-by-step explanation:

By geometric mean property:

y =  \sqrt{24 \times 6}  \\  \\ y =  \sqrt{144}  \\  \\ y = 12

By Pythagoras Theorem:

z =  \sqrt{ {12}^{2}  +  {24}^{2} }  \\  \\ z =  \sqrt{144 + 576}  \\  \\ z =  \sqrt{720}  \\  \\ z = 12 \sqrt{5}

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<h3 /><h3>Step-by-step explanation: </h3>

<u>Find the slope of the parallel line</u>

When two lines are parallel, they have the same slope.

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                      then the slope of the parallel line (m) = - 8

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

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                                ∴  y - 11  = - 8 (x + 1)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                      since   y - 11  = - 8 (x + 1)

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Step-by-step explanation:

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