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Aliun [14]
2 years ago
13

Four students are trying to find the rule that translates point N(–2, –4) to N prime (2, 4). Each student’s reasoning is shown b

elow. Raheem: The rule is (x times (negative 1), y times (negative 1)) because Negative 2 times (negative 1) = 2 and Negative 4 times (negative 1) = 4. Casey: The rule is (x 2, y 4) because the image is (2, 4). Andrew: The rule is (x 4, y 0) because the coordinates are opposites. Lo: The rule is (x 4, y 8) because Negative 2 4 = 2 and Negative 4 8 = 4. Which student is correct? Raheem Casey Andrew Lo.
Mathematics
1 answer:
german2 years ago
5 0

Four students are trying to find the rule that translates point N (–2, –4) to N prime (2, 4),

According to Lo's statement : The rule is (x + 4, y + 8) because Negative 2 + 4 = 2 and Negative 4 + 8 = 4.

The answer of Lo is Correct By applying the rule (x+4, y+8) on the coordinates N(-2, -4) will give us N'(2,4)

<h3>How do find whose statement is correct?</h3>

To find that we need to first understand students' statements accordingly.

Given: Student statements as:-

  • Raheem: The rule is (x times (negative 1), y times (negative 1)) because Negative 2 times (negative 1) = 2 and Negative 4 times (negative 1) = 4.

  • Casey: The rule is (x + 2, y + 4) because the image is (2, 4).

  • Andrew: The rule is (x + 4, y + 0) because the coordinates are opposites.

  • Lo: The rule is (x + 4, y + 8) because Negative 2 + 4 = 2 and Negative 4 + 8 = 4.

Now let's understand all the statements of respective students,

According to Raheem, his statement is incorrect because it states that we can only use addition or subtraction and not multiplication in transitions.

Therefore, Raheem's answer is NOT CORRECT.

According to Casey, his statement is incorrect because after applying the rule : (x+2, y+4) on the coordinates N(-2, -4) that will give (0,0) but not N'(2,4).

Therefore, Casey's answer is NOT CORRECT.

According to Andrew, his statement is incorrect because after applying the rule: (x+4, y+0) on the coordinates N(-2, -4) that will give us (2,-4) but not N'(2,4).

Therefore, Andrew's answer is NOT CORRECT.

According to Lo, his statement is correct because after applying the rule: (x+4, y+8) on the coordinates N(-2, -4) that will give us N'(2,4).

Therefore, Andrew's answer is CORRECT.

Hence, The answer of Lo is Correct By applying the rule (x+4, y+8) on the coordinates N(-2, -4) will give us N'(2,4)

Learn more about Logical questions here;

brainly.com/question/415220

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Piper is deciding between two truck rental companies. Company A charges an initial fee of $35 for the rental plus $3 per mile dr
vazorg [7]

Answer:

An equation for each situation, in terms of x

A = 35 + 3x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

Step-by-step explanation:

Let A represent the amount Company A would charge if Piper drives x miles

Let B represent the amount Company B would charge if Piper drives x miles.

Company A charges an initial fee of $35 for the rental plus $3 per mile driven.

A= $35 + $3 × x

A = 35 + 3x

Company B charges an initial fee of $80 for the rental plus $2 per mile driven.

B = $80 + $2 × x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B.

= A < B

35 + 3x < 80 + 2x

3x - 2x < 80 - 35

x < 45 miles

That is: any number of miles driven below 45 miles makes Company A cheaper than Company B

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

5 0
3 years ago
The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What
Oksana_A [137]

Using the domain concept, the restrictions on the domain of (u.v)(x) are given by:

A. u(x) ≠ 0 and v(x) ≠ 2.

<h3>What is the domain of a data-set?</h3>

The domain of a data-set is the set that contains all possible input values for the data-set.

To calculate u(x) x v(x) = (u.v)(x), we calculate the values of u and v and then multiply them, hence the restrictions for each have to be considered, which means that statement A is correct.

Summarizing, u cannot be calculated at x = 0, v cannot be calculated at x = 2, hence uv cannot be calculated for either x = 0 and x = 2.

More can be learned about the domain of a data-set at brainly.com/question/24374080

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3 0
2 years ago
2(x + 2) = 3x = 2(x + 1) + 1
Karo-lina-s [1.5K]
2 it’s two says the calculator
7 0
3 years ago
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X² - 5x + 6 = 0 (R: 2, 3)
Firlakuza [10]
I'm sending you two screenshots of the explanation I hope this helps.

4 0
3 years ago
If k is parallel to l find the value of a and the value of b.
kipiarov [429]

Answer:

a = 30

b = 40

C

Step-by-step explanation:

This requires that you use a proportion.

a / (a + 15) = 40 / 60

The small triangle's sides are in proportion to the large triangles sides.

Reduce the right. Divide top and bottom by 20

a/(a + 15) = 40/20 // 60/20

a/(a + 15) = 2/3                    

Cross multiply

3a = 2(a + 15)            Remove the brackets on the right.

3a = 2a + 30

Subtract 2a from both sides

3a-2a = 30

a = 30

Find B

b is done exactly the same way.

b/(b+20) = 2/3

3b = 2b + 40

3b - 2b = 40

b = 40

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3 years ago
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