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Drupady [299]
3 years ago
9

What is the image of the point (3,4) after a rotation of 90 degree counterclockwise about the origin

Mathematics
1 answer:
jeka57 [31]3 years ago
6 0

Answer:

(- 4, 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

(3, 4 ) → (- 4, 3 )

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3 years ago
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The function t(x) = 4x -2 determines how many cans of vegetables a food truck needs to stock on board, where x is the number of
34kurt

Answer:

t(x) = 4x  - 2  \\ c(x) = x + 9 \\ c(t(x)) = (4x - 2) + 9  \\ = (4(2) - 2) + 9 \\  = 8 - 2 + 9 \\  = 6 + 9 = 15

6 0
3 years ago
10) Find the distance between (2, 3) and (-3, -2) A) 2 B) 5 C) 50 = 5 2 D) 25
PSYCHO15rus [73]

Answer:

The answer is

<h2>5 \sqrt{2}  \:  \:  \:  \: units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2, 3) and (-3, -2)

The distance between them is

d =  \sqrt{( {2 + 3})^{2} +  ({3 + 2})^{2}  }  \\  =  \sqrt{ {5}^{2}  +  {5}^{2} }  \\  =  \sqrt{25 + 25}  \\  =  \sqrt{50}  \\  = 5 \sqrt{2}

We have the final answer as

5 \sqrt{2}  \:  \:  \:  \: units

Hope this helps you

6 0
4 years ago
2. Jacob currently has a summer job earning $8 per hour. Each summer he is guaranteed a
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Answer:

look at step by step

Step-by-step explanation:

A. the initial value of Jacob's hourly rate is the $8.

B. Hourly rate is multiplied by .05 (.05=5%) each year.

C.  it would be $8*.05 and his earning per hour in a year would be $8.40

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3 years ago
If x = -3, and y = 2, evaluate the following:<br>4x^2<br>​
Verdich [7]

Answer:

Evaluate the expression for the given values of x and y. x-y/x+y when x = 10 and y = 8

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3 years ago
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