All categories

3 years ago

Drag the tiles to the correct boxes to complete the pairs.

Mathematics

1 answer:

Tatiana [17]3 years ago

8 0

Answer:

a 90° clockwise rotation about the origin

a 180° rotation about the origin

a 90° counterclockwise rotation about the origin

Step-by-step explanation:

Transformations are done on a Cartesian Plane, which is the grid with four quadrants. (See picture) Each quadrant is 90°, so two quadrants is 180°.

When you rotate counterclockwise it is like in the picture. When you want to rotate clockwise, it's the other way.

When we rotate 180°, it does not matter if it is counterclockwise or clockwise because the result is the same (both move two quadrants).

We can imagine an example to help us solve the problem. Let's say we are rotating an object starting in first quadrant. (Upper right quadrant).

Find out which quadrant the object ends up with each instruction:

FROM THE PICTURE:

"a 90° counterclockwise rotation about the origin (Q2) and then a 180° rotation about the origin"

End: Quadrant 4

"a reflection across the x-axis (Q4) and then a reflection across the y-axis"

End: Quadrant 3

"a 90° clockwise rotation about the origin (Q4) and then a rotation 180° about the origin"

End: Quadrant 2

FROM YOUR LIST:

"a 90° counterclockwise rotation about the origin " Quadrant 2

"a 180° rotation about the origin " Quadrant 3

"a 90° clockwise rotation about the origin" Quadrant 4

Match each ending quadrant from your list with the same ending quadrant from the picture.

The order that you should put your list into the boxes is:

a 90° clockwise rotation about the origin

a 180° rotation about the origin

a 90° counterclockwise rotation about the origin

You might be interested in

Simplify (-2x^4y^-3)^4

elixir [45]

Answer:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = \frac{16 {x}^{16}}{ {y}^{12} }$

Step-by-step explanation:

We want to simplify:

$( - 2 {x}^{4} {y}^{ - 3} )^{4}$

We need to apply the exponential property for products of powers.

Recall that:

$( {a}^{m} \times {a}^{n} )^{p} = {a}^{mp} \times {a}^{np}$

We apply this rule to get:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = ( { - 2)}^{4} x \times {x}^{16} \times {y}^{ - 12}$

This simplifies to:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = 16 {x}^{16} \times {y}^{ - 12}$

We rewrite as positive index to get:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = \frac{16 {x}^{16}}{ {y}^{12} }$

7 0

3 years ago

Sally invests $5000 in an account earning 8% interest, compounded continuously. After how many years will she double her investm

juin [17]

Double is double, so you can solve
.. 2 = 1*e^(.08t)
and get the correct value of t.

Taking logs,
.. ln(2) = .08t
.. ln(2)/.08 = t ≈ 8.7 . . . . years

6 0

3 years ago

Read 2 more answers

Jeannie got a new pair of eye glasses. She was able to pay $15 at the time

Lisa [10]

Answer:

6 months, i used the equation from part a so i know it’s right

Step-by-step explanation:

a) 15 + 12x = 87

b) 12x = 87-15=72

72/12 = 6

3 0

3 years ago

Read 2 more answers

Hat is a area model for 22x18

lapo4ka [179]

396 is going to be your answer your welcome

6 0

3 years ago

17% of students in a class have brown hair. If 6 students are chosen at random, what is the probability that exactly 3 have brow

dezoksy [38]

Answer:

6.8%

Step-by-step explanation:

the question has no information about class size (no. of student in class)

assume no. of student is infinite

P(3brown out of 6) = 6C3 * P(brown)^3 * P(not brown)^3

= 20 * 0.004913 * 0.695789

= 0.06837

3 0

2 years ago