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sasho [114]
3 years ago
8

Select the correct answer.

Mathematics
1 answer:
pogonyaev3 years ago
8 0

Answer:

Step-by-step explanation:

D = {x | x is a whole number}

D = {0, 1, 2, 3, 4,......}

E = {x | x is a perfect square between 49 and 100}

E = {64, 81}

F = {x | x is an even number between 10 and 20}

F = {12, 14, 16, 18}

D∪F = {x | x is whole number}

D∩F = {x | x is an even number between 10 and 20}

D∩E = {x | x is a perfect square between 49 and 100}

E∩F = {null set}

D∩(E∪F) = {12, 14, 16, 18, 64, 81}

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\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond

               Find the equation of a line parallel to y-5=6x-10 that passes through (4,10)

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❖ If lines are parallel to each other, they have the same slope.

So the slope of the line parallel to y-5=6x-10 is 6.

Now, since we're also given the point crossed by the line, we write the equation in point-slope form:-

\sf{y-y_1=m(x-x_1)}

Substitute 10 for y₁, 6 for m and 4 for x₁:-

\sf{y-10=6(x-4)}

On simplification,

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Adding 10 to both sides results in:-

\sf{y=6x-14}

So we conclude that Option A is correct.

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\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}

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