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
Taya2010 [7]
2 years ago
7

Find the values of p and g such that 4x² + 12x = 4(x + p)^2-q

Mathematics
1 answer:
Minchanka [31]2 years ago
6 0

Answer:

q=8xp+4p²-12x

Step-by-step explanation:

its easy

You might be interested in
1. A sine function has the following key features:
andrew11 [14]
Problem 1

See the attached image (figure 1)

16pi seems like a typo. I'm going to assume that it's a fraction and it is 1/(6pi)
f = 1/(6pi) = frequency
T = 1/f = 1/(1/(6pi)) = 6pi
Amplitude = 2
a = 2
b = 2pi/T = 2pi/(6pi) = 1/3
Midline: y = 3
d = 3

The function is
y = a*sin(bx-c)+d
y = 2*sin(1/3*x-0)+3
y = 2*sin(x/3)+3

===============================================

Problem 2

See the attached image (figure 2) 

T = 12 is the period
a = 4 is the amplitude
b = 2pi/T = 2pi/12 = pi/6
y = 1 is the midline so d = 1
The y intercept is (0,1) which is the midline, which indicates no phase shifts have occurred so c = 0

The function is
y = a*sin(bx-c)+d
y = 4*sin((pi/6)x-0)+1
y = 4*sin((pi/6)x)+1

===============================================

Problem 3

See the attached image (figure 3)

Period = 4pi
T = 4pi
b = 2pi/T = 2pi/(4pi) = 1/2 = 0.5
Amplitude = 2
a = 2
Midline: y = 3
d = 3
y-intercept: (0,3)
The function is a reflection of its parent function over the x-axis, so 'a' is negative meaning a = -2 instead of a = 2

The function is
y = a*sin(bx-c)+d
y = -2*sin(0.5x-0)+3
y = -2*sin(0.5x)+3

===============================================

Problem 4

See the attached image (figure 4)

a = 10 which is half of the distance between the highest and lowest points
T = 8 is the period
b = 2pi/T = 2pi/8 = pi/4
c = -pi/2 is the phase shift since its really a cosine graph
d = 0 is the midline

The function is
y = a*sin(bx-c)+d
y = 10*sin((pi/4)*x+(-pi/2))+0
y = 10*sin((pi/4)*x+pi/2)

===============================================

Problem 5

See the attached image (figure 5)

a = 2 is the amplitude since it bobs up and down this distance from the midline
T = 8 seconds is the period (double that of the time it takes for it to go from the highest to the lowest point)
b = 2pi/T = 2pi/8 = pi/4
c = 0 is the phase shift as the buoy starts at normal depth of 20 meters
d = 20 is the midline

The function is
y = a*sin(bx-c)+d
y = 2*sin((pi/4)x-0)+20
y = 2*sin((pi/4)x)+20

===============================================

8 0
3 years ago
Read 2 more answers
Help pls ! I’ll mark brainliest!
kogti [31]

Answer:

The first and third answers are correct

Step-by-step explanation:

First answer=11/4=2.75

Second answer=4/9=0.444...

Third answer=4/3=1.333...

Fourth answer=5/9=0.5555555556

2/3=0.66666666667

5 0
2 years ago
Read 2 more answers
The Pythagorean Theorem is modeled below. Square 1 has a perimeter of 12 units and Square 2 has a perimeter of 16 units. What la
Finger [1]

Answer:

44

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the value of x ANSWER IS NOT
gulaghasi [49]

Answer:

x = 11√2

Step-by-step explanation:

We can notice the triangle given is a special triangle, a 45°- 45°- 90° triangle. The hypotenuse of a 45°- 45°- 90° is √2 times the length of a side. We can set up the equation(using x as the side):

x * √2  = 22

We can divide by √2 on both sides to get:

x = 22 / √2

To rationalize the denominator, we multiply by √2 / √2 on the right side:

x = 22√2 / 2

This simplifies to:

x = 11√2

3 0
2 years ago
Read 2 more answers
The formula for the volume of a sphere is a power function:
soldier1979 [14.2K]

Answer:

r≥0

V(r) ≥0

Step-by-step explanation:

V(r) = 4/3 * Pi* r^3

The domain is the input values for r

The radius cannot be less than 0  but can be any number bigger than 0

What is the domain of the function in this situation?

r≥0

The range is the output values for the function or the volume

The volume must be greater than or equal to zero

V(r) ≥0

7 0
3 years ago
Read 2 more answers
Other questions:
  • Help please what is 50x+25x-10y
    14·2 answers
  • Simplify 9-2(x+6)
    11·2 answers
  • Answer:<br> (1 point<br> 22. What is the distance around the edge of an object called?
    5·2 answers
  • Find the amount paid for the loan: $1000 at 8% for 5 years.
    13·2 answers
  • PLEASE HELP!!!!
    7·1 answer
  • DK is prefix for what when measuring
    10·1 answer
  • 2
    13·2 answers
  • Unit circle to find exact value of sin 180 degree
    12·1 answer
  • What is the value of this example? <br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%7D%20%7C%20%20%5Cdiv%2012" id
    11·1 answer
  • (-786)+(-923)=(-923)+(-786) <br> verify
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!