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GrogVix [38]
2 years ago
6

I need help on this loll

Mathematics
1 answer:
Serhud [2]2 years ago
3 0

Answer: The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

Step-by-step explanation:

Let us revise the translation

If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)

If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)

If the point (x , y) translated vertically up by k units  then its image is (x , y + k)

If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

(x , y) → (x ± h , y ± k) the right arrow symbol used to show the

translation from a point to its image

Example:

∵ P (0 , 0) → P' (1 , 2)

∴ The rule is (x , y) → (x + 1 , y + 2)

Let us find the translation rule that maps point D ( 7 , − 3 ) onto

point D' (2 , 5)

∵ Point (x , y) = (7 , -3)

∵ Its image after translation (x + h , y + k) = (2 , 5)

∴ x + h = 2

∵ x = 7

∴ 7 + h = 2

- Subtract 7 from both sides

∴ h = -5

∵ y + k = 5

∵ y = -3

∴ -3 + k = 5

- Add 3 to both sides

∴ k = 8

∴ The rule of translation is (x , y) → (x - 5 , y + 8)

The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

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In Mrs. Marsh's algebra class, 30 of the 36 students took the Chapter 4 test, and their mean score was $72 \%$. The next day the
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The new class mean of the given information in percent  = 73%

<h3>What is algebra?</h3>

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

<h3>According to the information :</h3>

A total of 2160 points would be earned if 30 students obtained an average grade of 72.

= 30 x 72

= 2160

If six students had an average of 78, their total points would be 6 x 78, or 468.

= 6 x 78

= 468

points are the result of adding the points from both groups.

2160 + 468

= 2628

An average of 73 is obtained by dividing 2628 by 36.

It represents a 73% proportion.

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I understand that the question you are looking for is:

In Mrs. Marsh's algebra class, 30 of the 36 students took the Chapter 4 test, and their mean score was $72 \%$. The next day the other six students took the test and their mean score was $78 \%$. What is the new class mean? Express your answer as a percent.

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Heyo! I need some help, please. What is the x coordinate if (x, 17) is on a line that passes through the points (1, 2) and (-1,
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Answer:

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Step-by-step explanation:

<u>The line with points (1,2) and (-1,-8). Work out its equation.</u>

  • y = mx + b

<u>The slope is:</u>

  • m = (-8 - 2)/(-1 - 1) = -10/-2 = 5

<u>To find the y intercept, substitute x and y-xoordinates of point (1,2):</u>

  • 2 = 5(1) + b
  • b = 2 - 5
  • b = -3

<u>The line is:</u>

  • y = 5x - 3

<u>Point (x, 17), substitute y-coordinate and solve for x</u>

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Kerrie uses the work shown below to determine 35% of 280.
lys-0071 [83]

For this case we must find 35% of 280.

Kerrie gets 10% and then 25%. So:

10% of 280:

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x -----------------> 10%

Where "x" represents the amount given by 10% of 280.

x = \frac {10 * 280} {100}\\x = 28

Thus, 10% of 280 is 28.

Now, we find 25% of 280:

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Where "x" represents the amount given by 25% of 280.

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Thus, 25% of 280 is 70.

So we have that 35% of 280 is given by:

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So, Kerrie's solution is correct.

Answer:

Option A

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