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3 years ago

1 over 6x plus 2 over 3x is equal to 5 find the value of x 1/6x + 2/3x =5

Mathematics

2 answers:

Marrrta [24]3 years ago

6 0

Answer: x = 6

Step-by-step explanation: 1/6x + 2/3 x = 5 first just add the like terms 5/6 x = 5 then 5*6 /5 = x hope it helps ;)

Oliga [24]3 years ago

4 0

Answer: x = 1/6 or x = 0.1666666666666...
Hope this helps!

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3 years ago

A line has a slope of -6 and includes the points (g,-8) and (0,-2). What is the value of g?

Travka [436]

Answer:

Step-by-step explanation:

Equation for line of slope -6 that passes through (0,-2):

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Plug in (g,-8) and solve for g:

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3 years ago

How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?

Arturiano [62]

Answer:

$y = \frac{2}{3} x + 2$

Step-by-step explanation:

Start by finding the slope of the given line.

$\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

Slope of given line

$= \frac{5 - ( - 1)}{ - 2 - 2}$

$= \frac{5 + 1}{ - 4}$

$= \frac{6}{ - 4}$

$= - \frac{3}{2}$

A perpendicular bisector cuts through the line at its midpoint perpendicularly.

The product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

$- \frac{3}{2} m = - 1$

$m = - 1 \div ( - \frac{3}{2} )$

$m = - 1 \times ( - \frac{2}{3} )$

$m = \frac{2}{3}$

$y = \frac{2}{3}x + c$ , where c is the y-intercept.

To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.

$\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}$