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3 years ago

How to graph? i am unsure how to do this piece wise function

Mathematics

1 answer:

Grace [21]3 years ago

8 0

Answer: see graph - the blue dot is a hole

Step-by-step explanation:

y = x/2

Graph this equation. It is in slope-intercept form where b = 0 and m = 1/2. Place a hole at x = 2 (coordinate 2, 1)

y = 4 at x = 2

Plot this coordinate (2, -4).

Note: The line jumps over the hole.

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Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

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

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

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3 years ago

-|x|>4 slove for x i need help

Feliz [49]

-|5|>4 this is the answers

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4 years ago

if three force are acting on a body and they are in equilibrium if force 1 is 1200N at 51.3 degree and force 2 is 1400N at 42 de

Vedmedyk [2.9K]

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3 years ago

The cost (c) in dollars to rent a chain saw for h hours is found using the equation c = 3h + 6 How much would it cost to rent th

Rudik [331]

Answer:

It cost $42 to rent a chain saw for 12 hours.

Step-by-step explanation:

Plug in 12 for h.

c = 3(12) + 6

c = 36 + 6

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3 years ago

How many ways can you make 35?

Ksju [112]

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4 years ago

Read 2 more answers