A walking path across a park is represented by the equation y=-4x + 10. A new path will be built perpendicular to this path. The paths will intersect at
the point (4. - 6). Identify the equation that represents the new path.
104
10
104
A. y --4x+10
B. y=-x-7
O c. v - - fx-5
D. y - x-22

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Ответ:

kumoichie

27.01.2022

Mathematics

Length of a= 9.4 cmLength of b= 12.0 cm

Solution,

Finding the value of a

Hypotenuse(h)= a

Base(b)= 5 cm

Perpendicular (p)= 8 cm

Using Pythagoras theorem,

${h}^{2} = {p}^{2} + {b}^{2} \\ {a}^{2} = {8}^{2} + {5}^{2} \\ {a}^{2} = 64 + 25 \\ {a}^{2} = 89 \\ a = \sqrt{89} \\ a = 9.4 \: cm$

Now,

Finding the value of b

Hypotenuse (h)= 17 cm

Base(b)= 12 cm

Perpendicular (perpendicular)= b

Using Pythagoras theorem,

${p}^{2} = {h}^{2} - {b}^{2} \\ {b}^{2} = {17}^{2} - {12}^{2} \\ {b}^{2} = 289 - 144 \\ {b}^{2} = 145 \\ b = \sqrt{145} \\ b = 12.0 \: cm$

Hope this helps...

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A walking path across a park is represented by the equation y=-4x + 10. A new path will be built perpendicular to this path. The paths will intersect at the point (4. - 6). Identify the equation that represents the new path. 104 10 104 A. y --4x+10 B. y=-x-7 O c. v - - fx-5 D. y - x-22