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Rufina [12.5K]
2 years ago
9

Warm-Up: Perpendicular Bisector 1. What is WY? Explain your reasoning.

Mathematics
2 answers:
Lemur [1.5K]2 years ago
6 0

Answer: WY = 27

Step-by-step explanation:

Due to WX being a Perpendicular Bisector WY = WZ

4x - 5 = 2x + 11

Add 5 to both sides

4x = 2x + 16

Subtract 2x from both sides

2x = 16

Divide by 2

x = 8

So 4x - 5 of x = 8

4*8 = 32 - 5 =27

timofeeve [1]2 years ago
3 0

Answer:

27

Step-by-step explanation:

WY = WZ because XZ = XY

2x + 11 = 4x - 5\\(2x + 11) - 11 = (4x - 5) -11\\2x = 4x - 16\\-2x = -16\\x = 8\\\\WY = 4x - 5\\WY = 4(8) -5\\WY = 32 - 5\\WY = 27

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A company's profit (in millions of dollars) can be represented by x^2-6x+12, where x is the number of years since the company st
Sergeu [11.5K]
The function that models the profit of the company in million of dollars is:

P= x^{2} -6x+12

where x represents the number of years since the company started. We want to find when the profit of the company was $4 million. Setting P as 4 in above equation, we can find the value of x when the profit was $4 million.

4= x^{2} -6x+12 \\  \\ 
 x^{2} -6x+8=0 \\  \\ 
 x^{2} -2x-4x+8=0 \\  \\ 
x(x-2)-4(x-2)=0 \\  \\ 
(x-2)(x-4)=0 \\  \\ 
x=2, x=4

Thus, we can conclude that the profit of the company was $4 million in 2nd and 4th year
6 0
2 years ago
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
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3 years ago
Ronald Dairo is helping the local indus-
nadya68 [22]

Answer:

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

Step-by-step explanation:

Papaya rosette pieces on first day = 5890

Papaya rosette Pieces on second day = 7020

Papaya rosette Pieces of third day = 8150

Let

a_1 = 5890\\a_2 = 7020\\a_3 = 8150

We can check if these numbers are part of a sequence.

In order to check, common difference will be found first.

d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130

It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.

The formula for arithmetic sequence is given by:

a_n = a_1+(n-1)d

Putting the values

a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n

The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.

So,

a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580

Hence,

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

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2 years ago
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I going with A hope that helps
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