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2 years ago

What is the image of the point (2,3) after a rotation of 180° counterclockwise

Mathematics

1 answer:

KonstantinChe [14]2 years ago

8 0

Answer:

(2,3) becomes A'(-2,-3)

Step-by-step explanation:

Using the 180 cc rotation rule (x,y) --> (-x,-y). Points 2 and 3 become negative resulting in (-2,-3)

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Devin's DVD case has 3 rows of slots, but 5 slots are broken.If x equals the number of slots in a row explain how the expression

Paul [167]

Answer:

The total number of unbroken / working slots

Step-by-step explanation:

Given that Devin's DVD case has 3 rows of slots, but 5 slots are broken

Also given that the number of slots in a row is x

1 row has x slots

3 rows has y slots

on cross multiplication we get y = 3x

ie there are a total of 3x slots in the 3 rows

Given that out of these 3x slots 5 . of the slots are broken

Therefore the total number of working slots = total number of slots - number of slots which are broken

total number of working slots are = 3x - 5

Therefore the given expression is the number of working / good slots

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Rearrange the formula A = Θr2 2 for Θ.

Lina20 [59]

Answer:

$\theta=\frac{2A}{r^2}$

Step-by-step explanation:

Given : The formula $A=\frac{\theta r^2}{2}$

We have to rearrange the given formula for $\theta$

Consider the given formula $A=\frac{\theta r^2}{2}$

Multiply both side by 2, we have,

$2A={\theta r^2$

Divide both side by $r^2$ , we have,

$\frac{2A}{r^2}= \frac{\theta r^2}{r^2}$

Simplify, we get,

$\frac{2A}{r^2}=\theta$

Thus, $\theta=\frac{2A}{r^2}$

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