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4 years ago

Which transformation will be equivalent to rotating a figure 270° counterclockwise? A) reflecting over the x-axis and the y-axis

Mathematics

2 answers:

Fittoniya [83]4 years ago

8 0

Answer:

D) Reflecting over the y-axis and then reflecting over the line y = -x

Step-by-step explanation:

When the figure is rotate clock-wise or anti clock-wise then the coordinate of figure is get changed and this new coordinate can be find on the basis of degree of rotation.

The rules of rotation is:

When rotation = 90° clock-wise, the vertices is get changed to (-y, x) from (x, y).
When rotation = 180° clock-wise, the vertices is get changed to (-x, -y) from (x, y).
When rotation = 270° clock-wise, the vertices is get changed to (y, -x) from (x, y).

Thus, Option (D) is correct option.

bagirrra123 [75]4 years ago

5 0

Reflection over the y-axis:
(x, y) ⇒ (-x, y)

Reflection of that over the line y = x:
(-x, y) ⇒ (y, -x)

Rotation counterclockwise by 270°:
(x, y) ⇒ (y, -x) . . . . . . equivalent to reflection over y, then over y=x.

The appropriate choice is ...
C) Reflecting over the y-axis and then reflecting over the line y = x.

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The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?

BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
$A_{n}=A_{1}+(n-1)d$

$A_{n}$ is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so $A_{1}=47$
d=-2 because the question gives you that

$A_{n}=A_{1}+(n-1)d$
 $A_{29}=47+(29-1)(-2)$
 $A_{29}=47+(28)(-2)$
 $A_{29}=47+-56$
 $A_{29}=-9$

The answer is A. -9.

 

The answer is C. 158

For the second one, it gives you $A_{1}=4$ and $A_{}=18$
You can use this to find d

 $A_{n}=A_{1}+(n-1)d$
 $A_{3}=4+(3-1)d$
 $18=4+(3-1)d$
 $18=4+2d$
 $14=2d$
 $7=d$

Now you can just solve using the equation normally.
 $A_{n}=A_{1}+(n-1)d$
 $A_{23}=4+(23-1)(7)$
 $A_{23}=4+(22)(7)$
 $A_{23}=4+154$
 $A_{23}=158$

The answer is C. 158

8 0

4 years ago

Read 2 more answers

Can someone plz help me with this

slava [35]

Answer:

Step-by-step explanation:

2a. f(-3) = (-3)^2-4(-3)+6 = 9+12+6 = 27

2b. f(-2) = 3(-2)^2-(-2)^3 -2 +1 = 3(4) - (-8) -2 +1

= 12+8-1 = 19

8 0

3 years ago

What happens to the value of the expression 2t/t as t decreases

anyanavicka [17]

Answer:

it stays the same until t=0, where it is undefined

Step-by-step explanation:

2t/t = 2 . . . . when t ≠ 0

2t/t = undefined when t = 0.

The value of t can increase or decrease and the value of the ratio remains the same. The value has a "hole" at t=0, where it is undefined. Otherwise, its value is always 2.

5 0

4 years ago

$150 dinner; 18% tip

Whitepunk [10]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

South School has a circular pattern on the playground that has a radius of 6 feet. Find a. the circumference of the pattern and

katrin [286]

Answer:

Circumference: 37.68

Area: 113.04

Step-by-step explanation:

the formula to find the circumference is 2 x 3.14 x r

r is the radius so you plug in 6 for that

2 x 3.14 x 6 = 37.68

the formula to find the area of a circle is 3.14 x r ²

r is still the radius so you plug in 6 for that

3.14 x 6² = 113.04

6 0

3 years ago