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1 year ago

Plot the points A(2, 7), B(0, 3) and C(- 2, - 1) Then determine whether they appear to be collinear.

Mathematics

1 answer:

viktelen [127]1 year ago

7 0

Answer:

Find the function of two points first. Then check whether the third point is on it

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X=4. Divide both side by -6 to get x by itself

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Amber can make 6 cakes

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2 years ago

Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the ident

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Answer:

Step-by-step explanation:

32²=(40-8)²

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2 years ago

Right triangle ABC and its image, triangle A'B'C' are shown in the image attached.

AlladinOne [14]

Answer:

See explanation

Step-by-step explanation:

Triangle ABC ha vertices at: A(-3,6), B(0,-4) and (2,6).

Let us apply 90 degrees clockwise about the origin twice to obtain 180 degrees clockwise rotation.

We apply the 90 degrees clockwise rotation rule.

$(x,y)\to (y,-x)$

$\implies A(-3,6)\to (6,3)$

$\implies B(0,4)\to (4,0)$

$\implies C(2,6)\to (6,-2)$

We apply the 90 degrees clockwise rotation rule again on the resulting points:

$\implies (6,3)\to A''(3,-6)$

$\implies (4,0)\to B''(0,-4)$

$\implies (6,-2)\to C''(-2,-6)$

Let us now apply 90 degrees counterclockwise rotation about the origin twice to obtain 180 degrees counterclockwise rotation.

We apply the 90 degrees counterclockwise rotation rule.

$(x,y)\to (-y,x)$

$\implies A(-3,6)\to (-6,-3)$

$\implies B(0,4)\to (-4,0)$

$\implies C(2,6)\to (-6,2)$

We apply the 90 degrees counterclockwise rotation rule again on the resulting points:

$\implies (-6,-3)\to A''(3,-6)$

$\implies (-4,0)\to B''(0,-4)$

$\implies (-6,2)\to C''(-2,-6)$

We can see that A''(3,-6), B''(0,-4) and C''(-2,-6) is the same for both the 180 degrees clockwise and counterclockwise rotations.

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3 years ago

Given f(x)=3^(x-2) and g(x)=f(3x)+4, write the function rule for function g and describe the types of transformations that occur

Liono4ka [1.6K]

Answer:

The function g(x) is $3^{3x - 2}$ + 4 and this is Translation Transformation .

Step-by-step explanation:

Given as :

The two functions f(x) and g(x) is as given

Function f(x) = $3^{x - 2}$

And g(x) = f(3 x) + 4

Now, for x = 3 x

The function f(x) can be written as

f(3 x) = $3^{3x - 2}$

So, g(x) = $3^{3x - 2}$ + 4

<u>While plotting the function f(x) and g(x) on the graph , the points translate from one to other quadrant , so this is a type of TRANSLATION TRANSFORMATION . </u>

Hence The function g(x) is $3^{3x - 2}$ + 4 and this is Translation Transformation . Answer

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3 years ago

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Plot the points A(2, 7), B(0, 3) and C(- 2, - 1) Then determine whether they appear to be collinear.​

Plot the points A(2, 7), B(0, 3) and C(- 2, - 1) Then determine whether they appear to be collinear.