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9966 [12]
3 years ago
11

Perpendicular to the line y=1/2x-8; passes through (7,-6). Write the slope-intercept form of the equation.

Mathematics
1 answer:
Airida [17]3 years ago
6 0

<u>ANSWER: </u>

The slope intercept form of the required line is y = -2x + 20.

<u>SOLUTION: </u>

Given, line equation is $y=\frac{1}{2} x-8$

And, Perpendicular line to the given line  passes through (7,-6).  

We need to find the slope intercept form of perpendicular line of given line.  

We already have the point (7, -6) but we need to find the slope.

Now, we know that, product of slopes of two perpendicular lines equals to -1.

Slope of given line is \frac{1}{2}, by comparing with the general form of slope intercept form.

\frac{1}{2} \times slope of required line = -1

Slope of perpendicular line = -2

Now, line equation of perpendicular line in point slope form is

$y-y_{1}=m\left(x-x_{1}\right)$

y – (-6) = -2(x – 7)

y + 6 = -2x + 14

y = -2x + 20

the above equation is in the form of slope intercept form of a line equation  

where slope m = -2 and intercept c = 20

hence, the slope intercept form of the required line is y = -2x + 20.

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3 years ago
Which graph represents the function on the interval [-3,3] <br> F(x)=[x]-2
julia-pushkina [17]
<h2>Answer:</h2>

Shown below

<h2>Step-by-step explanation:</h2>

The most famous of the step functions is the greatest integer function, which is denoted by the parent function [x].

So, this function is defined as:

f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x.

These are the characteristics of this function:

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The function F(x)=[x]-2 represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.

3 0
2 years ago
Write a compound inequality that represents the following scenario:
Inessa05 [86]

The compound inequality that represents the two following scenarios are:

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A compound inequality usually puts together two or more simple inequalities statements together.

Following the assumption from the given information that;

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<h3>1.</h3>

The age group of individuals designated to receive the free single scoop cones is:

  • people who are older than 65 i.e. > 65
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Thus, the compound inequality that is appropriate to express both conditions is:

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<h3>2.</h3>
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Now, we can infer that the total amount of flavors = 8 + 4 = 12

Thus,  the compound inequality that is appropriate to express both conditions is:

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Therefore, we can conclude that the compound inequality that represents the two following scenarios are:

  1. 65 < f ≤ 4
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Learn more about compound inequality here:

brainly.com/question/24540195?referrer=searchResults

6 0
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(3/5x + 4) + (1/5x -1)
kiruha [24]

Answer:

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3 0
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Afina-wow [57]
Answer = 127 degrees

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Afterwards, subtract that amount by all the given angles.

720 - 112 - 133 - 128 - 100 - 120 = 127 degrees

Hope it helps :D
4 0
2 years ago
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