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Vlad [161]
1 year ago
14

Given angle ABC shown on the coordinate plane below.

Mathematics
1 answer:
Crank1 year ago
6 0

The attached image shows the image of A"B"C" after the transformation

<h3>What is the transformation of the triangle about?</h3>

The transformation rule states:

A"B"C" = Ro90° (T(-4,3)(ABC))

This implies that one need to rotate the triangle in a 90⁰ clockwise direction, and then one need to translate the triangle.

Using the image shown, the coordinates of ABC are;

A = (-1, 2)

B = (1, 4)

C = (3, -1)

The 90⁰ rule clockwise rotation  will be:

(x,y) -- (y,-x)

So, when translated, it will be:

A' = (2, 1)

B' = (4, -1)

C' = (-1, -3)

Then the translation of the triangle using T(-4,3):

(x, y) -  (x - 4, y + 3)

So, there is:

A'' = (-2, 4)

B'' = (0, 2)

C'' = (-5, 0)

Learn more about transformation from:

brainly.com/question/28108536

#SPJ1

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timurjin [86]

The information is incomplete hence the general answer. Please note that the question is about the Theme.

<h3>What is a Theme in Literature?</h3>

In works of literature, a theme is a key idea or principle that the writer explores in the text.

In order to identify the theme, you have to pay close attention to the characters, the setting, the plot, what the dialogue is (that is what are the characters talking about?) etc.

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7 0
3 years ago
An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.
lawyer [7]

Answer:

7.5cm²

Complete question:What is the surface area of the 8-sided figure?

Step-by-step explanation:

Consider the half of the 8-sided die i.e the pyramid ABCDE:

As the base is 6 of the perimeter, so each side of the base is 6/4=3/2

Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.

Considering the right triangle EOM:

EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is 

\sqrt{1+ ( \frac{3}{4} )^{2} }=  \sqrt{1+ \frac{9}{16} }= \sqrt{ \frac{25}{16} }= \frac{5}{4}   (cm)

5. So side EBC has area  

\frac{1}{2}BC*EM=  \frac{1}{2}* \frac{3}{2}* \frac{5}{4}= \frac{15}{16}

6. The total area is 8*Area(EBC)=8* \frac{15}{16}= \frac{15}{2}=7.5 ( cm^{2} )

3 0
3 years ago
Find in degrees the numeric value of the acute angle of rotation that eliminates the product term from the equation 7x2+24xy−34x
lutik1710 [3]

Rotating the graph of Ax^2+Bxy+Cy^2+Dx+Ey+F=0 with B\ne0 counterclockwise by \theta eliminates the xy term, where \cot2\theta=\frac{A-C}{B}. Plugging in, we have \cot2\theta=\frac{7}{24}, since C=0. Solving, we have \theta=\frac{1}{2}\cot^{-1}(\frac{7}{24})\approx\boxed{36.9^\circ}.

4 0
3 years ago
Answer this please. Its a ixl problem
melamori03 [73]

Answer:

y=0x+0

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
H=(-5) answer needed now!!!!
wariber [46]

Answer:

-2

Step-by-step explanation:

h(-5) represents the y value when x is -5.

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