What is the slope of the line that is perpendicular to the line whose equation is 2x + y = 4. -2 - 2

Mathematics

2 answers:

cestrela7 [59]3 years ago

4 0

Answer:

1/2

Step-by-step explanation:

2x+y =4

Lets solve for y so the equation is in slope intercept form

Subtract 2x from each side

2x-2x+y = -2x+4

y = -2x+4

The slope is-2

When we want a perpendicular line, the slope is the negative reciprocal

-(1/-2)

+ 1/2

The slope of the new line is 1/2

Tcecarenko [31]3 years ago

4 0

What is the slope of the line that is perpendicular to the line whose equation is 2x + y = 4. -2 - 2

Answer:

1/2

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Graph each absolute value function. State the domain, range, and y-intercept.

Inessa05 [86]

Answer:

i. D:All real numbers

ii.R: $y\le-2$

iii. Y-int: $b=-2.5$

Step-by-step explanation:

The given function is

$y=-\frac{1}{2} |x-1|-2$

The domain of this function are the values of x that makes the function defined.

The absolute value function is defined for all real values.

The domain is all real numbers.

ii. The range refers to the values of y for which x is defined.

$y=-\frac{1}{2} |x-1|-2$

The vertex of this function is

$(1,-2)$

The function is reflected in the x-axis.

The vertex is therefore the maximum point on the graph of the function.

The range is therefore;

$y\le-2$

Or

$(-\infty,2]$

iii. To find the y-intercept, we substitute $x=0$ into the funtion.

$y=-\frac{1}{2} |0-1|-2$

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

$y=-2.5$

The y-intercept is $b=-2.5$

The graph is shown in the attachment.