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Murljashka [212]
3 years ago
15

Translate the point (5,2)—> 3 units to the left

Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0

Given:

The point (5,-2) is translated 3 units to the left.

To find:

The new location of the point.

Solution:

If a point is translated 3 units to the left, then

(x,y)\to (x-3,y)

Using this rule of translation, we get

(5,-2)\to (5-3,-2)

(5,-2)\to (2,-2)

Therefore, the new location of the point is (2,-2). Hence, the correct option is C.

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Of the cars sold during the month of July, 89 had air conditioning, 99 had an automatic transmission, and 74 had power steering.
DedPeter [7]

Answer:

There are a total of 23 cars with air conditioning and automatic transmission but not power steering

Step-by-step explanation:

Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.

Remember that for 2 sets E and F, we have that

|E \cup F| = |E| + |F| - |E \cap F|

Also,

|E| = |E ∩F| + |E∩F^c|

We now alredy the following:

|A| = 89

|B| = 99

|C| = 74

|A \cap B \cap C| = 5

|(A \cup B \cup C)^c| = 24

|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).

|B \ (AUC)| = 65

|C \ (AUB)| = 26

|B \cap C| = 11

We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things

For example:

99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|

Therefore, |B∩C^c| = 99-11 = 88

And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.

This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.

3 0
3 years ago
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yKpoI14uk [10]
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Help with 2 plz I really need help
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Jasmine deposited $700 in an account earning 9% interest compounded annually.
vladimir2022 [97]

Answer:

$763

Step-by-step explanation:

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2 years ago
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It's worth 4 marks and 2 OCW
LUCKY_DIMON [66]
Since these angles clearly form a circle and a circle is 360 degrees, 
120-x+2x+16+3x-72=64+4x=360. Subtracting 64 from both sides, we get 
4x=296 and by dividing both sides by 4 we get x=74
5 0
3 years ago
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