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DIA [1.3K]
3 years ago
10

What constant do you need to add to each of the following quadratic equations to complete the square?

Mathematics
1 answer:
Ghella [55]3 years ago
5 0
Where are the quadratic equations?
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What is the axis of symmetry of the function f(x)=-(x+9)(x-21)
Firlakuza [10]
Carry out the mult.:  f(x) = -[x^2 - 21x + 9x - 189] 

Combine like terms:  f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [   ]:      f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c:   a= -1, b=12, c=189

The equation of the axis of symmetry is    x = -b/(2a), which here equals

x = -(12)/[2(-1)], or     x = 6

This is also the x-coordinate of the vertex.  Plug x=6 into the original equation to calculate the y-coordinate.
3 0
3 years ago
What is the sqaure root of 2309!!!??
Serggg [28]

Answer:

the answer is approximately 48.05.

Step-by-step explanation: You can either use a calculator or estimate knowing that 50 is the square root of 2500, which is slightly above 2309. You can also use differentials and calculus to find an approximation.

3 0
2 years ago
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Which factor or factors listed below are internal influences on a loans interest rate?
Feliz [49]
<span>Each of the following lines from "The Love Song of J. Alfred Prufrock" contains allusion except 
A. "I am no prophet—and here's no great matter;"
B. "To say: I am Lazarus, come from the dead,"
C. "No! I am not Prince Hamlet, nor was meant to be;"
D. "I shall wear white flannel trousers, and walk upon the beach."
Read the following lines from "The Love Song of J. Alfred Prufrock." </span>
5 0
2 years ago
Sean can spend at most $15.00 on snacks. He has already spent $5.00. Which inequality could be solved to determine how much mone
Lady bird [3.3K]

Answer:

5 + x ≤ 15

Step-by-step explanation:

4 0
3 years ago
A large emerald with a mass of 378.24 grams was recently discovered in a mine. If the density of the emerald is 2.76 grams over
stepan [7]

Answer:

  • 137.04 cm³

Step-by-step explanation:

  • Mass = Density*Volume
  • V = m/d
  • V = 378.24/2.76 = 137.04 cm³ (rounded)
5 0
2 years ago
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