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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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Solve the system of equations. 3x+2y+z=16 4x−y=−5 y+z=11
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Answer:

I have no clue j need more free answer

Step-by-step explanation:

3x+2y+z=16 4x-y=-5 y+x=11

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How many solutions does the equation have 4x + 3=2(2x +9)
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3 years ago
The height of a square pyramid-shaped gift box is one half the length of
Schach [20]

Answer:

15 inches

Step-by-step explanation:

Volume of a squre based pyramid :

V = a²(h/3)

a = base edge ; h = height

h =1/2 a

V = 4500

4500 = a² * (1/2a) ÷ 3

4500 = a² * a/2 * 1/3

4500 = a³/2 * 1/3

4500 = a³ / 6

27000 = a³

27000 = a³

Take the cube root of both sides

(27000)⅓ = a

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5 0
3 years ago
The centers of Marathon County, Bayfield County, and Dodge County all lie along a straight road. If Marathon County is equidista
il63 [147K]

Answer:

<em>The distance from Bayfield County to Dodge County is 974 miles.</em>

Step-by-step explanation:

Definition of equidistant: equal distance.

Bayfield                                            Marathon                                        Dodge

       +---------------------------------------------+---------------------------------------------+

                            487 miles                                         487 miles

The three centers of the counties lie along a straight line. Since Marathon County is equidistant from Bayfield County and Dodge County, then Marathon County is exactly at the midpoint of the segment from Bayfield County to Dodge County. The distances from Bayfield County to Dodge County and from Marathon County to Dodge County are equal. The distance from Bayfield County to Dodge County is

distance = 487 miles + 487 miles = 974 miles


5 0
3 years ago
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