Answer:
Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).
Step-by-step explanation:
i) though Raheem is mathematically correct the question asks for a translation which means that we can only use addition and/or subtraction and not multiplication. So Raheem's answer is therefore incorrect.
ii) Casey's answer is incorrect as applying the rule (x+2, y+4) on the coordinates N(-2, -4) will gives us (0,0) and not N'(2,4)
iii) Andrew's answer is also incorrect as applying the rule (x+4, y+0) on the coordinates N(-2, -4) will gives us (2,-4) and not N'(2,4).
iv) Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).
The 24th term is 152
Step-by-step explanation:
The formula of the nth term of an arithmetic sequence is:
, where
- a is the first term
- d is the common difference between consecutive terms
The third term means n = 3
∵ 
∴ 
∵
= 5
- Equate the right hand sides of the third term
∴ a + 2d = 5 ⇒ (1)
The fifth term means n = 5
∵ 
∴ 
∵
= 19
- Equate the right hand sides of the fifth term
∴ a + 4d = 19 ⇒ (2)
Now we have a system of equations to solve it
Subtract equation (1) from equation (2) to eliminate a
∴ 2d = 14
- Divide both sides by 2
∴ d = 7
- Substitute the value of d in equation (1) to find a
∵ a + 2(7) = 5
∴ a + 14 = 5
- Subtract 14 from both sides
∴ a = -9
The twenty fourth term means n = 24
∵ a = -9 and d = 7
- Substitute the values of a and d in the formula of the nth term
∴ 
∴ 
∴ 
∴ 
The 24th term is 152
Learn more:
You can learn more about the arithmetic sequence in brainly.com/question/7221312
#LearnwithBrainly
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Price before tax = $18
Tax = 7% x $18 = 0.07 x 18 = $1.26
Price after tax = $18 + $1.26 = $19.26
Answer: $19.26
Answer:
2
Step-by-step explanation:
because thats what I learned