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4 years ago

Lines K and N are perpendicular If the slope of line K is -6, what is the slope of Line N

Mathematics

1 answer:

djverab [1.8K]4 years ago

6 0

line N has slope m = $\frac{1}{6}$

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$

thus line N has slope - $\frac{1}{- 6}$ = $\frac{1}{6}$

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dalvyx [7]

The answer is in the image. If you convert them to improper fractions, the division is easier. Like 2/3 + 1 = 5/3

3 0

3 years ago

You earn a base fee plus an hourly rate for running errands.You earn 20$ when it takes 1 hour to run the errands. You earn $35 w

beks73 [17]

Answer:

Step-by-step explanation:

<u>Linear Function</u>

The linear function is widely used to model real situations in life where the dependancy of one variable are linear by nature.

The problem gives us three conditions, more than enough to find a linear model for the earnings for running errands. Let's make x the number of hours it takes to run the errands, and y the earnings. The linear model has the general equation

$y=mx+b$

We have these points (1,20) (2,35) (3,50) and need to find the base fee, which is the value of b or the independant term of the equation.

We'll use the first two points to find the equation and the third point to verify it. Using (1,20)

$20=1\cdot m+b$

$m+b=20$

Now we use (2,35)

$35=m\cdot 2+b$

$2m+b=35$

Subtracting both equations

$m=15$

Replacing into the first equation

$b=5$

The equation is

$y=15x+5$

Let's test the formula by replacing the point x=3

$y=15\cdot 3+5=50$

The model is accurate and the base fee is 5

6 0

4 years ago

is it possible to draw a pair of supplementary angles in which both angles are acute. Explain your Answer with words and drawing

tiny-mole [99]

It is practically impossible to draw a pair of supplementary angles in which both angles are acute.

<h3>What are Supplementary Angles?</h3>

When two angles add up to give us 180 degrees, both angles are said to be supplementary angles. Thus, they have a sum of 180 degrees. One is a supplement of the other.

<h3>What are Acute Angles?</h3>

Acute angles can be defined as angles that have a measure that is less than 90 degrees. That is, they do not measure up to 90 degrees or have a measure below 90 degrees.

Thus, this means that, for two angles to be supplementary, one of them can be an acute angle while the other must be more than 90 degrees. For example, 50 degrees is an acute angle while 130 degrees is not an acute angle, but they are supplementary angles because: 50 + 130 = 180°.

On the other hand, the sum of two acute angles cannot be equal to 180 degrees. E.g, 89 + 89 = 178°.

In conclusion, it is therefore, practically impossible to draw a pair of supplementary angles in which both angles are acute.

Learn more about supplementary angles on:

brainly.com/question/8992900

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