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valkas [14]
3 years ago
6

2(4a+1)=3a a=? Help plz

Mathematics
2 answers:
solniwko [45]3 years ago
8 0

Answer:

a=-0.4

Step-by-step explanation:

2(4a+1)=3a

8a+2 = 3a

5a+2=0

5a=-2

a=-0.4

lesya [120]3 years ago
6 0

Answer:

a = -2/5

Step-by-step explanation:

2 (4 [-2/5] + 1) = 3 (-2/5)

2 (-8/5 + 1) = -6/5

2 (-3/5) = -6/5

-6/5 = -6/5

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Vitek1552 [10]

Answer:

y=-2x-4

Step-by-step explanation:

<u>Perpendicular Bisector</u>

The bisector of a segment defined by points (x1,y1) and (x2,y2) must pass by the midpoint of the segment.

The midpoint (xm,ym) is calculated as follows:

\displaystyle x_m=\frac{x_1+x_2}{2}

\displaystyle y_m=\frac{y_1+y_2}{2}

The endpoints of the segment are (-3,-8) and (5,-4), thus the midpoint M is:

\displaystyle x_m=\frac{-3+5}{2}=1

\displaystyle y_m=\frac{-8-4}{2}=-6

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Let's find the slope of the given segment. The slope can be calculated with the formula:

\displaystyle m_1=\frac{y_2-y_1}{x_2-x_1}

\displaystyle m_1=\frac{-4+8}{5+3}=\frac{1}{2}

If the bisector is also perpendicular, its slope m2 and the slope of the segment m1 must comply:

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Solving for m2:

\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{\frac{1}{2}}=-2

Once we have the slope -2 and the point through which our line must pass (1,-6), we compute the equation in its point-slope form:

y-y_o=m(x-x_o)

y-(-6)=-2(x-1)

Operating

y+6=-2(x-1)

y+6=-2x+2

Rearranging

\boxed{y=-2x-4}

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