A map is drawn with a scale of inch equal to 5 actual miles.

Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it.

bulgar [2K]

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the coordinates of point A is at (2, -4).

Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.

If a point A(x, y) is reflected over the x axis, the new point is at A'(x, -y)

If a point A(x, y) is translated a units right and b units down, the new location is at A'(x + a, y - b)

If a point A(x, y) is dilated by factor of a, the new location is at A'(ax, ay)

If a point A(x, y) is rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

Hence:

For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)

For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)

For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)

For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).

Step-by-step explanation:

6 0

3 years ago

Help plsssssssssssssssssssssssssssssssssssssssssss

rodikova [14]

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Make me as brain liest

7 0

3 years ago

For which value of x is the equation 3(3 + x) = 15 + x true?

seraphim [82]

Answer:

x=3

Step-by-step explanation:

3(3 + x)=15+x

distribute

9 + 3x= 15+x

subtract x from each side

9+3x-x = 15

9+2x = 15

subtract 9 from each side

9+2x-9 = 15-9

2x = 6

divide by 2

2x/2 = 6/2

x=3

7 0

3 years ago

Read 2 more answers

Using Cramer’s Rule, what is the value of x in the system of linear equations below? x+3y=16 3x+y=8

alexdok [17]

Cramer's rule works as follows:
x+3y=16
3x+y=8
Then
x=Dx/D
y=Dy/D
where Dx,Dy,D are 2x2 matrices formed from of coefficients and right hand side.
D=
1 3
3 1
=1-9=-8
Dx=matrix D with first column replaced by the vector [16,8]=
16,3
8 1
=16-24
=-8

Dy=matrix D with second column replaced by the vector [16,8]=
1 16
3 8
=8-48
=-40

Therefore
x=-8/-8=1
y=--40/-8=5

Check:
x+3y=1+3(5)=16
3x+y=3(1)+5=8 ok.

4 0

2 years ago

A trucking firm suspects that the mean life of a certain tire. it uses is less than 33,000 miles. To check the claim, the firm r

Mice21 [21]

Answer:

We accept the alternate hypothesis. We conclude that the mean lifetime of tires is is less than 33,000 miles.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 33,000 miles

Sample mean, $\bar{x}$ = 32, 450 miles