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kipiarov [429]
2 years ago
9

Evaluate each of the expressions in the list for y = 5. Drag and drop the correct number into each box to

Mathematics
1 answer:
malfutka [58]2 years ago
4 0

Answer:

Step-by-step explanation:

To get the value of the expressions in list A and list B we will substitute y = 5 in each expression.                      

            List A                                        List B

1). 6 + 6y = 6 + 6(5) = 36              6y - 6 = 6(5) - 6 = 24

2). 6(y - 1) = 6(5 - 1) = 24               6(y + 1) = 6(5 + 1) = 36

3). 6y + 1 = 6(5) + 1 = 31                 1 + 6y = 1 + 6(5) = 31

Therefore, (6 + 6y) is equivalent to 6(y + 1)

6(y - 1) is equivalent to (6y - 6)

(6y + 1) is equivalent to (1 + 6y)

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In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other. 

Let's take the lengths 5x-12 and x+20 and set them equal to each other. 

5x - 12 = x + 20 

Combine like terms by moving them over to their respective sides.

Subtract x from both sides of the equation. 

4x - 12 = 20 

Add 12 to both sides of the equation. 

4x = 32 

Divide both sides by 4. 

x = 8 

Check your answer by substituting. 

5x - 12 = x + 20

5(8) - 12 = 8 + 20

40 - 12 = 28 

28 = 28

Solution: x = 8 




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3 years ago
S=n(a1+an)/2 gives the partial sum of an arithmetic sequence. What is the formula solved for an?
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S = n(a1 + an)/2
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