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Ad libitum [116K]
3 years ago
8

WILL GIVE BRAINLIEST IF CORRECT, IF WRONG NO BRAINLIEST Which statement accurately explains whether a reflection over the x-axis

and a 90° counterclockwise rotation would map figure ACB onto itself?
a coordinate plane with figure ACB with point A at 1, 1, C at 3, 4 and B at 5, 1

Yes, A″C″B″ is located at A″(1, 1), C″(3, 4), and B″(5, 1)
Yes, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)
No, A″C″B″ is located at A″(1, 1), C″(3, 4), and B″(5, 1)
No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)
Mathematics
1 answer:
Paladinen [302]3 years ago
5 0

9514 1404 393

Answer:

  No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)

Step-by-step explanation:

Line AB is horizontal, so reflection across the x-axis maps it to a horizontal line. Then rotation CCW by 90° maps it to a vertical line. The composition of transformations cannot map the figure to itself.

A reasonable explanation is the last one:

  No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)

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Solve the equation for x, where x is a real number (5 points): <br> -2x^2 + 5x + 2 = -3
Juli2301 [7.4K]
Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                              x = [ -b ± √(b^2 - 4ac) ] / (2a)
                              x = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) )
                              x = [-5 ± √(25 - (-40) ) ] / ( -4 )
                              x = [-5 ± √(65) ] / ( -4)
                              x = [-5 ± sqrt(65) ] / ( -4 )
                              x = 5/4 ± -sqrt(65)/4
The answers are 5/4 + sqrt(65)/4 and 5/4 - sqrt(65)/4..
5 0
3 years ago
Nick has $7.00. Bagels cost $0.75 each, and a small container of cream cheese costs $1.29. Write an inequality to find the numbe
lbvjy [14]
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8 0
3 years ago
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Un edificio proyecta una sombra de 7.5m.mientras que un arbol que mide 1.6 m de altura proyecta una sombra 1.85 M¿Cual es la alt
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Answer: The height of the building is 6.49 meters.

Step-by-step explanation:

This can be translated to:

"A building projects a 7.5 m shadow, while a tree with a height of 1.6 m projects a shadow of 1.85 m.

Which is the height of the building?"

We can conclude that the ratio between the projected shadow is and the actual height is constant for both objects, this means that if H is the height of the building, we need to have:

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3 years ago
The Quotient 250 divided by 5/8 tells about how far a sloth may move in one hour How far can a sloth go in 90 minutes?
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Given condition is:

A sloth moves in one hour = \frac{250}{5/8}

\frac{5}{8}=0.625

So, a sloth moves in one hour = \frac{250}{0.625}=400 units

Hence, in 60 minutes a sloth moves = 400

In 1 minute sloth will move = \frac{400}{60}

In 90 minutes it will  move = \frac{400}{60}\times90=600

The answer is 600 units.

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