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AnnyKZ [126]
3 years ago
7

1

Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0

Answer:

f=A%27(-0.25%2C0.75)%5C%5C%5C%5CB%27(1.75%2C-0.25)%5C%5C%5C%5CC%27(-1%2C-0.25)

Step-by-step explanation:

A Dilation is defined as  a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the  dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1,  the image obtained after the  dilation is smaller than the pre-image and it is an "Reduction".

In this case you know that the triangle ABC was dilated by this scale factor:

With the origin as the center of dilation.

Since:

It is a Reduction.

You can identify that the vertices of the triangle ABC are:

So you need to multiply the coordinates of each vertex  of the triangle ABC by , in order to get the coordinates of the triangle A'B'C. Then, you get:

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2 years ago
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The equation of the line that contains diagonal HM is y = 2/3 x + 7.
nirvana33 [79]

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

  • We know that the diagonals are perpendicular bisectors of each other.

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

3 0
3 years ago
What is the value of the expression 44?<br> Please help I only have an hour! I will give brainliest!
Eduardwww [97]

Answer:

256

Step-by-step explanation:

The value is 256 because 4^4 is 4*4*4*4 which equals 256 :))

Hope this helps:)) Plz mark Brainliest :))

7 0
3 years ago
Find the domain and range of<br><br> f(x)= (2x+6) / ((x^2)-x-12)
creativ13 [48]

Answer:

Step-by-step explanation:

If you want to determine the domain and range of this analytically, you first need to factor the numerator and denominator to see if there is a common factor that can be reduced away.  If there is, this affects the domain.  The domain are the values in the denominator that the function covers as far as the x-values go.  If we factor both the numerator and denominator, we get this:

f(x)=\frac{2(x+3)}{(x-4)(x+3)}

Since there is a common factor in the numerator and the denominator, (x + 3), we can reduce those away.  That type of discontinuity is called a removeable discontinuity and creates a hole in the graph at that value of x.  The other factor, (x - 4), does not cancel out.  This is called a vertical asymptote and affects the domain of the function.  Since the denominator of a rational function (or any fraction, for that matter!) can't EVER equal 0, we see that the denominator of this function goes to 0 where x = 4.  That means that the function has to split at that x-value.  It comes in from the left, from negative infinity and goes down to negative infinity at x = 4.  Then the graph picks up again to the right of x = 4 and comes from positive infinity and goes to positive infinity.  The domain is:

(-∞, 4) U (4, ∞)

The range is (-∞, ∞)

If you're having trouble following the wording, refer to the graph of the function on your calculator and it should become apparent.

8 0
3 years ago
How many unit cubes will fit in the rectangular prism? <br> A) 9 B) 36 C) 40 D) 45
antiseptic1488 [7]

Answer:

D) 45

Step-by-step explanation:

5 x 3 x 3 = 45

8 0
3 years ago
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