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omeli [17]
3 years ago
6

Rewrite the following equation x(x)-14x+24=y in vertex form. What is the vertex?

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

Step-by-step explanation:

y = x² − 14x + 24

To convert to vertex form, complete the square.  Take half of the second coefficient, square it, then add the result to both sides.

(-14/2)² = 49

y + 49 = x² − 14x + 49 + 24

y + 49 = (x − 7)² + 24

y = (x − 7)² − 25

The vertex is (7, -25).

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In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to s
GalinKa [24]
Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.

This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.

DH = HF
x+5 = 2y
x = 2y-5

GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6

If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7

--------------------------------------------

Answers: 
x = 7 and y = 6

5 0
3 years ago
Please help me answer this question
I am Lyosha [343]

9514 1404 393

Answer:

  D.  -17%

Step-by-step explanation:

The change from March to April is (April - March) = (100 -120) = -20. As a fraction of the March bill, that is ...

  -20/120 = -1/6

As a percentage, that change is ...

  -1/6 × 100% ≈ -16.667% ≈ -17%

The electric bill changed by about -17% from March to April.

_____

<em>Additional comment</em>

Water went up 4%; groceries went up about 14%, and restaurant changed by -15%.

The percentage change is found by ...

  % change = ((new amount)/(original amount) -1) × 100%

Above, we have rearranged this to ...

  % change = ((new amount) -(original amount))/(original amount) × 100%

8 0
2 years ago
How are these three numbers related. 50 1/2, 1/4, 202
Aliun [14]

Answer: If you divide 202/4=50.5 or 50 1/2

Step-by-step explanation:

6 0
2 years ago
Need help with this plzzzz
sweet [91]
I would say D my dear friend from what i see from the patterns hope it helps :) and sorry if its wrong i tried lol
8 0
2 years ago
Read 2 more answers
Let the random variable X be the outcome of rolling a 6-sided die. Assuming the die is fair, the probability distribution is as
gayaneshka [121]
The answer would be 1.  

1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6.  
Divide by 6 and you have 1 for the answer.  
6 0
2 years ago
Read 2 more answers
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