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swat32
2 years ago
11

On a coordinate plane, triangle A B C has points (negative 1, negative 1), (negative 2, negative 1) and (negative 2, negative 4)

. Triangle A prime B prime C prime has points (1, negative 1), (2, negative 1), and (2, negative 4). What is the equation of the line of reflection that maps the pre-image to the image? y = x y-axis x-axis x = 1
Mathematics
1 answer:
scoray [572]2 years ago
7 0

Answer: y-axis

Step-by-step explanation:

The equation of the line of reflection is the perpendicular bisector of the segment that connects a point on the preimage and the corresponding point on the image.

For this, we'll consider A(-1, -1) and A'(1, -1).

The equation of this line is clearly y = -1, and its midpoint is (0, -1).

This means the line of reflection will be a vertical line passing through (0, -1), which is the line x = 0, or the y-axis

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Please create a word problem using the concept of probability. Please provide the answer to your word problem. *
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In a game of rock paper scissors, what are the chances that someone playing against a person playing only paper would win?

As for the answer, if you were to make a chart to show rock, paper, and scissors, you'd be able to see that there's a 2/3 chance of winning by choosing rock. With scissors, there's also a 2/3 chance to win. Now with paper, there's only a 1/3 chance to win. Knowing that the other person will only play paper, the best answers would be to choose either rock or scissors.

(there are, of course, flaws with this concept, because the opponent could be lying about playing only paper. More or less, it's a good design to show probability.)

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3 years ago
Please help me with my homework<br><br> <img src="https://tex.z-dn.net/?f=%5Cbf%7B%28x%2B9%29%5E5%7D" id="TexFormula1" title="\b
Brut [27]

Answer:

x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049

Step-by-step explanation:

Greetings !

Given expression

(x + 9) {}^{5}

write 5 as a sum

(x + 9) {}^{3 + 2}

use \: a {}^{m + n}  = a {}^{m}  \times a {}^{n} to \: expand \: the \: expression.

(x + 9) {}^{3}  \times (x + 9) {}^{2}

Use (a+b)³=a³+3a²b+b³ to expand the expression

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times (x + 9) {}^{2}

Use (a+b)²=a²+2ab+b² to the second expression to expand it

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times(x {}^{2}  + 18x + 81)

Finally, simplify the expression gives

x {}^{5}  + 45x {}^{4}  + 810x {}^{3}  + 7290x {}^{2}  + 32805x + 59049

Hope it helps!

3 0
2 years ago
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What is the slope of the line represented by the equation y = 4/5x - 3?
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Answer:

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4 0
3 years ago
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Given the linear system:
azamat

Answer:

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Step-by-step explanation:

Let's solve for y.

2x−2y+z=1

Step 1: Add -2x to both sides.

2x−2y+z+−2x=1+−2x

−2y+z=−2x+1

Step 2: Add -z to both sides.

−2y+z+−z=−2x+1+−z

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Step 3: Divide both sides by -2.

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3 years ago
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