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algol [13]
3 years ago
15

To describe a translation , what information must you include?

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0
You must include how many units the point has moved in the horizontal direction. Also how many units the point has moved in the vertical direction.
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Put the following statements into order to prove that if 3n+4 is even then n is even. Put N next to the 3 statements that should
Alinara [238K]

Answer: 7, 2, 1, 5, 6, 4, 8

Step-by-step explanation:

1. Then, 3n+4=3(2k+1)+4=6k+7=2(3k+3)+1.

2. By definition of odd, there exists integer k such that n=2k+1.

N 3. Thus, if n is odd then 3n+4 is odd or by contradiction, if 3n+4 is even then n is even, .

4. Therefore, by definition of odd, 3n+4 is odd.

5. Since k is an integer, t =3k+3 is also an integer.

6. Thus, there exists an integer t such that 3n+4=2t+1.

7. Suppose n is odd.

8. Thus, if n is odd then 3n+4 is odd or by contraposition, if 3n+4 is even then n is even, .

N 9. Suppose 3n+4 is even.

N 10. By definition of odd, n=2k+1.

Right order:

7. Suppose n is odd.

2. By definition of odd, there exists integer k such that n = 2k+1.

1. Then, 3n+4 = 3(2k+1)+4 = 6k+7 = 2(3k+3)+1.

5. Since k is an integer, t = 3k+3 is also an integer.

6. Thus, there exists an integer t such that 3n+4 = 2t+1.

4. Therefore, by definition of odd, 3n+4 is odd.

8. Thus, if n is odd then 3n+4 is odd or by contraposition, if 3n+4 is even then n is even.

4 0
3 years ago
Associative property 8×30​
Ilia_Sergeevich [38]

Answer:

I think you mean commutative property. 30 * 8

Step-by-step explanation:

This does not have parentheses around anything. To solve with commutative property switch the digits.

7 0
3 years ago
What are the solutions of the system 7x + 3y=-3 and y= -2*?
mafiozo [28]

Answer:

opt 4

Step-by-step explanation:

when x=0, 0+3y= -3, so y=-1    (0,-1) is solution

         when x=3 , 21+3y=-3,  3y= -3-21= -24

                                                    y= -8                  (3,-8) is also solution

8 0
3 years ago
Determine sen 0 y tan 0,si 0= 2/3 y cot 0>0
sdas [7]

Answer:

the answer of your question is 0

Step-by-step explanation:

the answer is 0

3 0
3 years ago
Robert takes a roast out of the oven when the internal temperature of the roast is 165°F. After 15 minutes, the temperature of t
faust18 [17]

Step-by-step explanation:

Rate of drop of temperature = Change in temperature/Rate

=> (165 - 135)/15

=> 30/15

=> 2 ⁰F/min

Now, The time at which the temperature of will be 70⁰F = 70/Rate

=> 70/2

=> 35 min

Time for 110⁰ F

=> 110/2

=> 55 min

6 0
2 years ago
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