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antiseptic1488 [7]
3 years ago
10

Triangle XYZ is located at X (−2, 1), Y (−4, −3), and Z (0, −2). The triangle is then transformed using the rule (x−1, y+3) to f

orm the image X'Y'Z'. What are the new coordinates of X', Y', and Z'?
Please Help Me
Mathematics
1 answer:
Airida [17]3 years ago
6 0
<span>You have to apply the rule to the XYZ coordinates, so X'= (-2-1, 1+3) Y'= (-4-1, -3+3) Z'= (0-1, -2+3) So the new coordinates are X' (-3, 4), Y' (-5, 0), and Z'(-1, 1) This is actually translation not transformation, as the shape doesn't change it just moves</span>
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Complete the table for the given rule. Rule: y=X/4(fraction)
Lady_Fox [76]

Answer:

\large\huge\boxed{\begin{array}{c|c}x&y\\\\4&1\\\\2&\frac{1}{2}\\\\9&\frac{9}{2}\end{array}}

Step-by-step explanation:

y=\dfrac{x}{4}

Put the values of x from the table to the equation:

x=4\to y=\dfrac{4}{4}=1\\\\x=2\to y=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}\\\\x=9\to y=\dfrac{9}{4}

From the comment.

Convert the equation:

y=\dfrac{x}{4}    <em>multiply both sides by 4</em>

4y=x\to x=4y

Put the values of y from the table to the equation:

y=4\to x=(4)(4)=16\\\\y=2\to x=(4)(2)=8\\\\y=9\to x=(4)(9)=36

\large\huge\boxed{\begin{array}{c|c}x&y\\\\16&4\\\\8&2\\\\36&9\end{array}}

3 0
3 years ago
The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).
Zina [86]

Answer: Endpoint = (-4,6)

Step-by-step explanation:

To find any endpoint use the formula \frac{x_1+x_2}{2} = Xmp    \frac{y_1+y_2}{2} =Ymp

\frac{6+x_2}{2} = 1          \frac{-2+y_2}{2} =2    

multiply each by 2  to simplify

\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2    \frac{-2+y_2}{2*2} =2*2 = -2+y_2=4 take the equations and simplify

6+x_{2} = 2                          -2+y_{2} = 4  =  

-6       -6                          +2       +2

   x_{2} = -4                               y_{2} =  6

To check use the Midpoint formula

\frac{-4+6}{2} , \frac{6-2}{2}  = \frac{2}{2} , \frac{4}{2}  = (1,2)

8 0
3 years ago
The APR of Estelle's savings account is 4.5% but interest is compounded only once a year. what is the APY of Israel's savings ac
Tems11 [23]
4.5% is the answer to yo problem ..
8 0
3 years ago
Read 2 more answers
In Europe, gasoline efficiency is measured in km/L. If your car's gas mileage is 31.0mi/gal , how many liters of gasoline would
maw [93]
We need to convert the mileage from mi/gal units into to km/L units using the conversion factors.

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Next, we divide the distance by the mileage. 
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7 0
3 years ago
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in a bag of candies there are `3 red candies, 13 green candies, 13 yellow candies, and 13 blue candies. If you choose 1 candy fr
rodikova [14]

Answer:

29/42

Step-by-step explanation:

No. of red candies = 3

No. of green candies = 13

No. of yellow candies = 13

No. of blue candies = 13

T.T = 42

Probability that candy will not be blue= 13+13+3 = 29

= 29/42

Hope it helps!

Pls mark me brainliest

Have a good day.

8 0
2 years ago
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