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4 years ago

Twice a number m 32 less than 6 times m

Mathematics

1 answer:

Ad libitum [116K]4 years ago

4 0

Answer:

2m-32<6m

Step-by-step explanation:

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ella [17]

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3 years ago

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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:

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

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

Midpoint: M(1,-6)

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:

$m_1.m_2=-1$

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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4 years ago

Can someone help yo girl out, and help me graph this?

Darya [45]

the y axis isthe top and bottom the x is horizantal

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4 years ago

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Five boxes of fruit snacks cost $22.50.

Viefleur [7K]

Answer:

13.5 answer is 13.5 and one cost 4.5

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3 years ago

Parallel lines are coplanar. What characteristics of these geometric figures create the different requirements?

tensa zangetsu [6.8K]

Answer:

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

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4 years ago