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SCORPION-xisa [38]
3 years ago
14

Given 4 coordinate points A(2, 0), B(4, 0), C(5, -2), D(1, -2). If the image is rotated by 180° about the origin O, then C' =

Mathematics
1 answer:
lisov135 [29]3 years ago
8 0

Answer: The answer would be C. Please give me a thanks :) bye!

Step-by-step explanation:

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Yea it is.4\5 is greater than 2
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Which explains how you round 212.809 to the nearest hundredth?
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c

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Emily buys a toaster for 10%off if she pays 36 then what was the original price
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x-0.1x=36

where x is the original price
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x-0.1x=36
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PLEASE PLEASE HELP WITH MATH. ILL GIVE POINTS, BRAINLY AND FRIEND.
aleksley [76]

Answer:

∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG

Step-by-step explanation:

We have that the initial triangles are equal. Let us check which components remain within the final triangles as the same. The only such components are the angles B and C. We now know that we have to apply a triangle equality criterion.

The triangles BGH and CIH are equal since the have 2 common sides and the respective interior angles are equal. Then we have that BI=GC and also that the respective angles  B and C are equal. THen also HIJ=HGJ since they fill to 180 degrees with angles that are equal.

Hence by angle-side-angle the triangles BJI and CJG are equal.

∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG

8 0
3 years ago
The parent function f(x)=x^2 is translated such that the function g(x)=-x^2+6x-5 represented the new function. What is true abou
Alla [95]
<h3>Answer:</h3>
  • g(x) has an axis of symmetry at x = 3
  • g(x) is shifted right 3 units from the graph of f(x)
  • g(x) is shifted up 4 units from the graph of f(x)
<h3>Step-by-step explanation:</h3>

The vertex form of g(x) is ...

... g(x) = -(x -3)² +4

This is offset to the right by 3 and up by 4 from the parent function. (It is also first reflected across the x-axis.)

_____

<em>Vertex form</em>

You know the leading coefficient is -1 because that's what it is for x² in the given form. When you factor -1 from the first two terms, of the given form, you have ...

... g(x) = -1(x² -6x) -5

Half the x coefficient inside parentheses will be the constant in the squared binomial term, so that term is (x -3)². The constant in that square is +9, so adding that value inside and outside parentheses in g(x) gives ...

... g(x) = -1(x² -6x +9) -5 +9

... g(x) = -(x -3)² +4 . . . . . vertex form

_____

<em>About transformations</em>

g(x) = f(x -a) causes the graph of f(x) to be shifted "a" units to the right. For a function f(x) with an axis of symmetry at x=0, it moves the axis of symmetry to x=a.

g(x) = f(x) +a causes the graph of f(x) to be shifted "a" units up.

g(x) = -f(x) causes the graph of f(x) to be reflected across the x-axis.

Here, we have all three of these transformations. First is the reflection:

... f₁(x) = -f(x) = -x²

Then we have shifting to the right 3 units. (also moves the axis of symmetry)

... f₂(x) = f₁(x-3) = -(x -3)²

Finally, we have shifting up 4 units.

... g(x) = f₂(x) +4 = -(x -3)² +4

4 0
3 years ago
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