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Artyom0805 [142]
3 years ago
9

Which is a reasonable first step that can be used to solve the equation 2 (x + 6) = 3 (x minus 4) + 5?

Mathematics
1 answer:
diamong [38]3 years ago
6 0

Answer:

x=19

Step-by-step explanation:

2(x+6)=3(x-4)+5

2x+2*6=3x-3*4+5

2x+12=3x-12+5

12+12-5=3x-2x

19=x

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55

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If f(x) = 3x + 3, g(x) = 3x + 3, and h(x) = x + 3, what is [g o f o h](–5)?
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Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form)
ANEK [815]

             - - - - - - - - - - - - - - - - - - - - - - - - - -

\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)

\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond

❖ 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,

\sf{y-10=6x-24}

Adding 10 to both sides results in:-

\sf{y=6x-14}

So we conclude that Option A is correct.

<h3>Good luck.</h3>

         - -  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

7 0
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