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3 years ago

Which of these sequences of transformations would not return a shape to its original position?

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

7 0

Answer:

4. Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.

Step-by-step explanation:

Option 1, 2 and 3 will return a shape back to its original because:

1. 3 units up and 3 units down are direct opposite and will cancel out one another. Hence, the shape will return to its initial position.

2. Reflect over line p, and over p again.

This actions are also direct opposite and also have the same effect as (1)

3. Translate 1 unit to the right and 3 units to the right.

This equates to 4 units to the right and it will cancel out the translation of 4 units to the left.

4. Rotate 120 counter clockwise and another 220 counterclockwise will not make a shape go back to its original position.

Hence:

4 answers the question

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Solve 4(x + 1) + 8 = 24

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Let's solve your equation step-by-step.4(x+1)+8=24

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3 years ago

the original price of a pair of sneakers is $89.00 the store advertizes a sale for 15% off what is the sale price for the sneake

4vir4ik [10]

Answer:

$75.65

Step-by-step explanation:

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3 years ago

Solve the equation: 5^(3t)=13

jonny [76]

Answer:

0.531 (3 s.f.)

Step-by-step explanation:

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Power rule is used for the 3rd step.

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4 years ago

All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessarily the same as the weigh

BaLLatris [955]

Answer:

The largest possible weight of flour is 11.25 pounds.

Step-by-step explanation:

To start with, we will assume that the weight of 1 sack of sugar = x pounds

We will also assume that the weight of 1 sack of flour = y pounds

So, the weight of 2 sacks of sugar = 2 * (x) = 2x

Same thing goes for the weight of 3 sacks of flour = 3 * (y) = 3y

Supposing that the weight of (2 sacks of sugar + 3 sacks of flour) ≤ 40 pounds

= 2x + 3y ≤ 40............ we'll call that equation 1.

Also, suppose that the weight of ( 1 sack of flour) ≤ 2 sacks of sugar + 5 pounds

= y ≤ 2x + 5........................ we'll call that equation 2

Therefore, we'll solve for the values of x and y in the two equations and we will get:

2x + 3y ≤ 40

y ≤ 2x + 5

Now, substitute the value of y into equation 1

2x + 3y ≤ 40 ⇒ 2x + 3(2x +5) =40

⇒ 2x + 6x + 15= 40

⇒ 8x + 15 = 40

⇒ 8x = 25

⇒ x = 25/8

⇒ x = 3.12

x cannot be more than 3.12 pounds, so we solve for y

Putting the value of x into equation 2, we'll get

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⇒ y = 11.25 pounds.

So, n cannot be more than 11.25 pounds

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3 years ago

A factory produced 150 tons of steel in one year. the next year, the output increased to 180 tons. what is the percentage increa

Murljashka [212]

A factory produced 150 tons of steel in one year. the next year, the output increased to 180 tons. Then,The percentage increase = (Final -initial) /initial *100 = (180-150)*100/150 = 20% Thus, the net percentage increase in the output is 20%

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4 years ago

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