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Maksim231197 [3]
3 years ago
5

What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6?

Mathematics
1 answer:
Sonja [21]3 years ago
5 0
You did not include the "given line". You need the line to determine the slope of your line.

To calculate the slope of a line that is perpedicular to certain line, you must use the property that the product of the slope of two perpendicular lines is - 1.

So, the procedure is this:

1) Determine the slope of the given line (may be from the graph or from the equation,depending on the input information). Call this slope m1.

2) The slope, call it m2,  of the line that is perpendicular is calculated as:

m2 = - 1 /m1.

3) Now, you use such slope and the coordinates of the point given to find the equation of the perpedicular line.

In this case your point is the x-intercept, this is (6,0)

And you use this relation to find the equation:

y - 0
------- = m2
x - 6

From the choices given I can see that m2 is either - 1 or 1, so I am going to solve for both cases.

4) If m2 = 1 (which means that m1 = - 1),

y - 0
------ = 1
x - 6

=>  y - 0 = x - 6
=> y = x - 6 => the answer is the fourth option.

5) If m2 = - 1 (which means that m1 = 1),

y - 0
------- = - 1
x - 6

=> y - 0 = - (x - 6)
=> y = - x + 6 => the answer is the second option.

Neither y = - x + 8 nor y = x - 8 may be the right answer because their x-intercept is not 6 but 8.
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Circle O has a circumference of approximately 250π ft. Circle O with diameter d is shown. What is the approximate length of the
Vinil7 [7]

Answer:

250 ft

Step-by-step explanation:

circumference of circle 'C' is defined as

C = 2πr

250π = 2πr

r = 250π/2π

r= 125

d = 2r = 2×125 = 250 .

diameter of the given circle is 250 ft

4 0
3 years ago
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The cost of 5 kg of potatoes is £3.20
Tom [10]

Answer:

12kg=7.68

1.5=87

Step-by-step explanation:

I found the cost per kg

4 0
3 years ago
you have 3 boxes, one "strawberries";one "mentos" and one "mixed".But you know that all the labels are in incorrect order .How d
frozen [14]

Answer:

If you dump all of them into one box then you know that one is the mixed

5 0
3 years ago
Please help!! Math | 25 points :)
arlik [135]

Values of the composite function:

(g\cdot f)(-1)=6

(g\cdot f)(0)=7

(f\cdot g)(-1)=3

(f\cdot g)(4)=2

Step-by-step explanation:

Given two functions f(x) and g(x), their composite function is given by

(f\cdot g)(x) = f(g(x))

Which means using the output value of g(x) as input for f(x).

Let's start by computing

(g\cdot f)(-1)

First, we compute the value of f(-1), which is (from the graph)

f(-1) = 1

Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:

(g\cdot f)(-1)=6

Now we evaluate

(g\cdot f)(0)

First, we compute the value of f(0), which is (from the graph)

f(0) = 0

Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:

(g\cdot f)(0)=7

Now we evaluate

(f\cdot g)(-1)

First, we compute the value of g(-1), which is (from the graph)

g(-1) = 5

Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:

(f\cdot g)(-1)=3

Finally we evaluate

(f\cdot g)(4)

First, we compute the value of g(4), which is (from the graph)

g(4) = 4

Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:

(f\cdot g)(4)=2

Learn more about composite functions:

brainly.com/question/2723982

brainly.com/question/2456302

brainly.com/question/1949601

brainly.com/question/1900154

#LearnwithBrainly

6 0
3 years ago
The measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. What is the measure of the smallest angle?
anyanavicka [17]
<span>The sum of the interior angles of a triangle is 180 degrees
</span>
4x + 5x + 6x = 180
15x = 180
x = 180/15
x = 12

<span>The measure of the smallest angle = 4x = 4*12 = 48</span>°
8 0
3 years ago
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