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Elena L [17]
3 years ago
10

What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)

Mathematics
1 answer:
Gala2k [10]3 years ago
6 0

Answer:

We validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Step-by-step explanation:

Given

A (−1, 4)→ A' (3, 3)

Here:

  • A(-1, 4) is the original point
  • A'(3, 3) is the image of A

We need to determine which translation operation brings the coordinates of the image A'(3, 3).

If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.

Thue, the rule of the translation will be:

A(x, y) → A' (x+4, y-1)

Let us check whether this translation rule validates the image coordinates.

A (x, y) → A' (x+4, y-1)

Given that A(-1, 4), so

A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)

Therefore, we validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

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Simplify this expression -6w + (-8) + 1+ (-7w)
Rzqust [24]

Answer:

\boxed{-6w+(-8)+1+(-7w)=-13w-7}

Step-by-step explanation:

The given expression is  -6w+(-8)+1+(-7w).


This expression is the same as;


 -6w+-8+1+-7w.

Or

 -6w-8+1-7w.


We regroup the terms to obtain;


-6w-7w-8+1


We simplify to get

-13w-7


3 0
3 years ago
Read 2 more answers
Graph the system of constraints and find the value of x and y that maximize the objective
trapecia [35]
Your on you own with that one buddy sorry bro (5,0)
8 0
2 years ago
Check
8_murik_8 [283]

Answer:

The answer to your question is given below.

Step-by-step explanation:

To which of the above expression is a sum or difference of cube, or not a sum or difference of cube, we shall do the following simplification:

Note: The Cube root of a particular number is simply a multiplication of an identical number in three places.

64x³ – 216

64 has a cube root of 4 and 216 has a cube root of 6. Therefore, the above expression can be written as:

4³x³ – 6³

(4x)³ – 6³

64x³ – 216 = (4x)³ – 6³

Therefore, 64x³ – 216 can be expressed as a difference of cube.

8x^9 + 27

8 has a cube root of 2, x^9 has a cube root of x³ and 27 has a

cube root of 3. Therefore, the above expression can be written as:

2³(x³)³ + 3³

(2x³)³ + 3³

8x^9 + 27 = (2x³)³ + 3³

8x^9 + 27 can be expreessed as a sum of cube

x³ + 125

125 has a cube root of 5. Therefore, the above expression can be written as:

x³ + 5³

x³ + 125 = x³ + 5³

x³ + 125 can be expressed as a sum of cube

36x³ + 121

36 and 121 has no cube root. Therefore, the above expression is not a sum or difference of cube.

x^6 – 16

x^6 has a cube root of x² and 16 has no cube root. Therefore, the above expression is not a sum or difference of cube.

Summary:

Sum or Difference of cubes

64x³ – 216

8x^9 + 27

x³ + 125

Not a Sum or Difference of cubes

36x³ + 121

x^6 – 16

5 0
3 years ago
Charlie bought a $60 radio on sale 5%-off.how much did he pay including 5% sales tax? A) $54.15 B) $557.00 C) %57.75 D) %59.85
joja [24]
(60(100-5)/100)(100+5)/100

60(95/100)(105/100)

60(.95)(1.05)

$59.85


8 0
3 years ago
What is 12 1/2% of 27
dedylja [7]
3.375  Hope this helps
5 0
3 years ago
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