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3 years ago

Which type of transformation is described by (x, y) -> + (x + 3, y — 2)?

Mathematics

1 answer:

creativ13 [48]3 years ago

4 0

Answer:

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

Step-by-step explanation:

Given the rule of transformation:

(x, y) → (x+3, y-2)

If we move horizontally 3 units to the right, 3 is added to the x-coordinate of any given point, and then 2 units down.

In other words,

(x, y) → (x+3, y-2) means Translation 3 units left and 2 units down.

For example,

Let say if we have the point A(4, 5)

Using the translation rule:

(x, y) → (x+3, y-2)

A(4, 5) → A'(4 + 3, 5 - 2) → A'(7, 3)

Therefore, the new position of A(4, 5) after translating 3 units left and 2 units down would be: A'(7, 3)

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MA_775_DIABLO [31]

Answer:

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Step-by-step explanation:

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3 years ago

Which of the lines below is parallel to a line with a slope of 3 and a y-intercept at (0, 3)?

Dmitrij [34]

Answer:

$\displaystyle line\:HJ$

Step-by-step explanation:

$\displaystyle y = 3x + 3$

The descryption gives you the above Slope-Intercept Equation. Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], therefore $\displaystyle 3$ remains as is, and perfourming $\displaystyle \frac{rise}{run},$ will give you that answer.

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2 years ago

1. The sum of the angles is 90° The difference between twice the larger angle and the smaller

Ostrovityanka [42]

Answer:

$\displaystyle 25°\:and\:°65$

Step-by-step explanation:

{90° = m∠1 + m∠2

{105° = 2m∠1 - m∠2

_______________

$\displaystyle \frac{195°}{3} = \frac{3m∠1}{3} \\ \\ 65° = m∠1$

All you have left to do is this:

$\displaystyle 25° = -65° + 90°$

So, your two angle measures are $\displaystyle 25°\:and\:°65.$

I am joyous to assist you anytime.

5 0

3 years ago

How do I get from: Sin x = -1/2 To: x = 7Pi/6, 11Pi/6

brilliants [131]

A few ways. you can enter it into a calculator for one, but the easiest way would be to reference a unit circle and look for an ordered pair where sin (the y value), is equal to -1/2

on a unit circle, the sin value is -1/2 at 7pi/6 and 11pi/6

because sin is the y value, it will additionally be in the quadrants III or IV based on the fact that (-1/2) as a sin value IS a negative and would have to be found in a quadrant in which sin is negative (the lower half of a coordinate plane, in this case)

8 0

3 years ago

The side length of a square is 5.25 inches. What is its area? What is its perimeter? Be sure to show your work for credit and do

Effectus [21]

Answer:

Step-by-step explanation:

area of a square is just L^2 or one of the sides squared

and the perimeter is 4L

that means

Area = 5.25^2

= 27.5625 in^2

Perimeter = 4 * 5.25

= 21 in

3 0

3 years ago