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Over [174]
3 years ago
8

Kite ABCD is rotated 180 degrees clockwise about the origin and then reflected over the y-axis, followed by a reflection over th

e x-axis. What is the location of point A after the transformations are complete?
Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0

Answer:

Step-by-step explanation:

Answer:

(-5, 1)

Explanation:

We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.

We are to find the coordinates of point A after the complete transformation.

A (-5, 1)

When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.

A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin

Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.

A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis

Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.

A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation

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A positive real number is 5 more than another. When - 10 times the smaller is added to the square of the larger, the result is 5
salantis [7]

Answer:

4√2 and 5+4√2

Step-by-step explanation:

Let the two numbers be x ad y

Smaller = y

Bigger = x

If a positive real number is 5 more than another, then;

x = 5 + y ... 1

When - 10 times the smaller is added to the square of the larger, the result is 57, then;

-10y + x² = 57 ...2

Substitute 1 into 2;

-10y + (5+y)² = 57

-10y + 25+10y+y² = 57  

y²+25 = 57

y² = 57 - 25

y² = 32

y = √32

y = 4√2

Since x = 5 + y

x = 5 + 4√2

Hence rhe numbers are 4√2 and 5+4√2

8 0
2 years ago
Find the distance between the two points.<br> (-6, – 7), (0,0)
Elden [556K]

Answer:

√85

Step-by-step explanation:

for this, you will probably need to draw a graph. Plot the points, and then you will notice that you can draw a triangle with one side being the x-axis ( go on to (-6,0) then drop down unitll you hit the point (-6;-7)

// use the pythagoream theorem to find the length

the distance of the leg on the x-axis is 6  (calculate 0-(-6))

the distance of the leg that is dropping down is -7 (calculate 0-(-7))

then we have 2 legs and need to find the hypotenuse.

Pythagorean theorem a^2 + b^2 = c^2

substitute :

6^2 + 7^2 = c^2

36+49 = 85

c= √85

8 0
2 years ago
Does anyone know the answer to this!?
PolarNik [594]

Answer:

|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|

Step-by-step explanation:

You can use these Cramer's formulas to solve for x and y:

x=\dfrac{|A_x|}{|A|},\\ \\y=\dfrac{|A_y|}{|A|},

where

|A|=\left|\begin{array}{cc}12&-13\\ \\17&-22\end{array}\right|\\ \\ \\|A_x|=\left|\begin{array}{cc}7&-13\\ \\-51&-22\end{array}\right|\\ \\ \\|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|

So,

|A_y|=\left|\begin{array}{cc}12&7\\ \\17&-51\end{array}\right|

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What is -3.45 minus positive 2.2
Vanyuwa [196]

Answer:

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Step-by-step explanation:

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