Find the area of the regular 15-gon with a 7 mm radius

Mathematics

1 answer:

Blizzard [7]3 years ago

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Answer:

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A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?

leonid [27]

Answer:

The value of a=6[/tex]

Step-by-step explanation:

step 1:-

col linearity of three points :-

We know that slopes of two parallel lines are equal.If two lines having the same slope pass through a common point ,then two lines will coincide . Hence ,If A,B,C are three points in the X Y- plane, then they will lie on a line,

that is three points are col linear if and only if Slope of AB= slope of BC

step 2:-

Since the given three points are col-linear, we have

Slope of AB= slope of BC

given points are A(2,-2) ,B(-6,2) and C(a,-4)

Step 3 :-

Slope of AB= slope of BC

$\frac{2-(-2)}{-6-2} =\frac{-4-2}{a+6}$

$\frac{-1}{2} =\frac{-6}{a+6} by cross multiplication we get \\a+6=12\\Step 4:-The value of a=6$

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4 years ago

Which number is most likely an irrational number?

Eduardwww [97]

It would be D because it’s a non repeating decimal

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3 years ago

Read 2 more answers

Rotate triangle P 90° clockwise about the point (2, -1).

dlinn [17]

Answer:

Step-by-step explanation:

If we are rotating about the point (2,-1) , then we first need to translate the triangle two points to the left so that point P is at location (2,-1). Once we have that we rotate everything 90 degrees clockwise, while maintaining the same distance and angles between each point in the triangle. After doing this we will get the triangle seen in the attached picture below. Which is fully rotated 90 degrees clockwise about the point (2,-1)