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GalinKa [24]
2 years ago
5

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

Mathematics
1 answer:
creativ13 [48]2 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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What is the point of intersection when the system of equations below is graphed on the coordinate plane?
lora16 [44]

Answer:

<h2>not exist</h2>

Step-by-step explanation:

The coordinates of the intersection of the line are the solution of the system of equations.

\underline{+\left\{\begin{array}{ccc}x-y=1\\y-x=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=2\qquad\bold{FALSE}

The system of equations has no solution. Therefore, the lines are parallel (the intersection does not exist).

5 0
2 years ago
If ( f ∘ g)(x) = x2 - 6x + 8 and g(x) = x - 3, what is f(x)?
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5 0
3 years ago
Find the exact length of the third side.<br> 40<br> 9
Nutka1998 [239]

Answer:

89

Step-by-step explanation:

3 0
3 years ago
Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?
kiruha [24]

The equation of line CD in standard form is: B. 5x - 3y = 30

<h3>How to determine the equation of line CD in standard form?</h3>

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression (linear function);

y = mx + c

Where:

  • x and y are the points.
  • m represents the slope, gradient, or rate of change.
  • c represents the intercept.

Next, we would determine the slope of this line by using this formula:

Slope, m = Δy/Δx

Slope, m = Change in y-axis/Change in x-axis

Slope, m = (0 + 5)/(6 - 3)

Slope, m = 5/3

At point (6, 0), the point-slope equation of the line is given by:

y - y₁ = m(x - x₁)

y - 0 = 5/3(x - 6)

y = 5x/3 - 30/3

y = 5x/3 - 10

Multiplying all through by 3, we have:

3y = 5x - 30

Rearranging the equation, we have:

5x - 3y = 30

Read more on slope here: brainly.com/question/7748981

#SPJ1

4 0
1 year ago
Read 2 more answers
A certain paint is to be mixed with 3 parts yellow to 2 parts blue. Twelve gallons of mixed paint are needed.
aksik [14]

Answer:

4.8

There You go

7 0
2 years ago
Read 2 more answers
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