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otez555 [7]
3 years ago
5

What are the coordinates of the imageof point A (2, -7) under the transalition (x,y) (x- 3, y 5)

Mathematics
1 answer:
jenyasd209 [6]3 years ago
4 0

Answer:

The coordinates of the image of point A (2, -7) are A'(-1,-2).

Step-by-step explanation:

Note: The sign is missing between y and 5 in the rule of transitional.

Consider the rule of translation is

(x,y)\Rightarrow (x-3,y+5)

We need to find the image of point A (2, -7).

Substitute x=2 and y=-7 in the above rule.

A(2,-7)\Rightarrow A'(2-3,-7+5)

A(2,-7)\Rightarrow A'(-1,-2)

Therefore, the coordinates of the image of point A (2, -7) are A'(-1,-2).

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Find four fractions between 1/10 and 1/8
Alex17521 [72]

9514 1404 393

Answer:

  5/48, 5/46, 5/44, 5/42

Step-by-step explanation:

We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:

  1/8.4 = 5/42

  1/8.8 = 5/44

  1/9.2 = 5/46

  1/9.6 = 5/48

__

<em>Check</em>

  • 1/8 = 0.125
  • 5/42 ≈ 0.119
  • 5/44 ≈ 0.114
  • 5/46 ≈ 0.109
  • 5/48 ≈ 0.104
  • 1/10 = 0.100

_____

<em>Additional comment</em>

There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.

__

Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.

6 0
3 years ago
Help me please! I’m begging
Goryan [66]

12) the radius is 15 so with the equation (3.14)*r^2, we get (3.14)(15^2)=706.5

13) true, true (if x=4), true

14) y=0.75x+4.50, $8.25

7 0
3 years ago
Order these numbers from least to greatest.<br> 6.09, 6.009, 6.5071, 6.5
Savatey [412]

Answer:

6.009,6.09,6.5,6.5071

Step-by-step explanation:

3 0
3 years ago
3x+6/x^2-x-6+2x/x^2+x-12
Tanzania [10]
\dfrac{3x+6}{x^2-x-6} +  \dfrac{2x}{x^2+x-12}

= \dfrac{3(x+2)}{(x + 2)(x - 3)} +  \dfrac{2x}{ (x - 3)(x + 4)}

= \dfrac{3}{(x - 3)} +  \dfrac{2x}{ (x -3)(x + 4)}

= \dfrac{3(x+4)}{(x - 3)(x + 4)} +  \dfrac{2x}{ (x -3 )(x + 4)}

= \dfrac{3(x+4) + 2x }{(x - 3)(x + 4)}

= \dfrac{3x+12 + 2x }{(x - 3)(x + 4)}

= \dfrac{5x+12}{(x - 3)(x + 4)}



6 0
3 years ago
Evaluate. <br> 6[5(3-9)-1]+2/7(8-2)+4
GREYUIT [131]
If you would like to evaluate 6 * [5 * (3 - 9) - 1] + 2 / 7 * (8 - 2) + 4, you can calculate this using the following steps:

6 * [5 * (3 - 9) - 1] + 2 / 7 * (8 - 2) + 4 = 6 * [5 * (-6) - 1] + 2/7 * 6 +  4 = 6 * [- 30 - 1] + 12/7 + 4 = 6 * [- 31] + 12/7 + 4 = - 186 + 12/7 + 4 = - 182 + 12/7 = - 1274/7 + 12/7 = - 1262/7

The correct result would be - 1262/7.
6 0
3 years ago
Read 2 more answers
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