1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mixer [17]
2 years ago
13

Complete the square: x^2 +6x +c

Mathematics
2 answers:
victus00 [196]2 years ago
7 0

You want to put this in the form (x+b)^2 + c  

To do this take half of the coefficient of b from the ordinal form which is 6/2=3 as use this as your new b

This give you (x+3)^2.  

If you foil this out you get x^2 +6x +9 so you have added 9 to the original expression so now all you need to do is subtract 9 to keep things balanced  

The final expression then is (x+3)^2 -9

<u> So c= -9</u>

olga2289 [7]2 years ago
5 0

Answer:

c=√(c+9)-3

Step-by-step explanation:

x²+6x=-c

x²+6x+(3)²=-c+(3)²

(x+3)²=-c+9(find the square root of both sides)

√(x+3)²=√(c+9

x+3=√(c+9)

c=√(c+9)-3

You might be interested in
The value of an antique car is modeled by the function v(x)=107,000(1.009)^(2/3x) where x is the number of years since 2005. by
baherus [9]

You would multiply the growth rate (.009) by 2/3 to get the percent rate per year. Therefore, the answer is .006
8 0
3 years ago
Please help!! I will give brainilest. look at the picture!
xxMikexx [17]

Answer:

Rows 126

last row has 41

last row is not full because its an odd number

Step-by-step explanation:

4 0
3 years ago
A projectile is fired with muzzle speed 220 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
Allushta [10]

Answer:

  • 4968.6 m from where it was fired
  • 221.33 m/s

Step-by-step explanation:

For the purpose of this problem, we assume ballistic motion over a stationary flat Earth under the influence of gravity, with no air resistance.

We can divide the motion into two components, one vertical and one horizontal. For muzzle speed s and launch angle θ, the horizontal speed is presumed constant at s·cos(θ). The initial vertical speed is then s·sin(θ) and the (x, y) coordinates as a function of time are ...

  (x, y) = (s·cos(θ)·t, -4.9t² +s·sin(θ)·t + h₀) . . . . . where h₀ is the initial height

To find the range, we can solve the equation y=0 for t, and use this value of t to find x.

Using the quadratic formula, we find t at the time of landing to be ...

  t = (-s·sin(θ) - √((s·sin(θ))²-4(-4.9)(h₀)))/(2(-4.9))

  t = (s/9.8)(sin(θ) +√(sin(θ)² +19.6h₀/s²))

For s = 220, θ = 45°, and h₀ = 30, the time of flight is ...

  t ≈ 31.939 seconds

Then the horizontal travel is

  x = 220·cos(45°)·31.939 ≈ 4968.6 . . . . meters

__

As it happens, the value under the radical in the above expression for time, when multiplied by s, is the vertical speed at landing. The horizontal speed remains s·cos(θ), so the resultant speed is the Pythagorean sum of these:

  landing speed = s·√(cos(θ)² +sin(θ)² +19.6h₀/s²) ≈ s√(1 +0.012149)

  ≈ 221.33 m/s

_____

Note that the landing speed represents the speed the projectile has as a consequence of the potential energy of its initial height being converted to kinetic energy that adds to the kinetic energy due to its initial muzzle velocity.

6 0
2 years ago
I ONLY HAVE 5 MIN TO TURN THIS IN PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
DENIUS [597]

Answer:

132−15+12

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The volume of a cylinder of radius r and height h is given by V = π r 2 h. Then the height, in terms of the radius and volume, i
sdas [7]
Hello There!

It is represented as: h = \frac{v }{ \pi  r^{2} }

Hope This Helps You!
Good Luck :) 

- Hannah ❤
5 0
3 years ago
Read 2 more answers
Other questions:
  • Need help asap!!!!!!!!!!
    11·2 answers
  • 3. Find the volume of the cylinder
    11·1 answer
  • Fill in the blanks to write the number 9.175 in expanded form: 9.175 = 9 + 0.1 + blank + blank
    8·2 answers
  • Please help me with the question first get brainliest
    8·1 answer
  • Find the reciprocal of the number. Multiply to check your answer.
    14·2 answers
  • Does anyone know how to this cause I need to know how to do it.
    10·2 answers
  • The body of a great roadrunner is 16 in. Long and the tail is 8 in. Long. The total length of a great roadrunner is 4 times long
    15·1 answer
  • How many hours would someone who earns $7.50 per hour have to work to earn $116.25?
    12·1 answer
  • What is the area of this triangle?
    6·1 answer
  • If point G is reflected about the y-axis, what are the new coordinates?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!