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
pashok25 [27]
3 years ago
8

.5(x + 3) ^{2} " alt="x + 5 = 0.5(x + 3) ^{2} " align="absmiddle" class="latex-formula">
Physics
1 answer:
nikitadnepr [17]3 years ago
6 0
Solve for x over the real numbers = complete the square
x + 5 = 0.5 (x + 3)^2

0.5 (x + 3)^2 = 1/2 (x + 3)^2:
x + 5 = 1/2 (x + 3)^2

Expand out terms of the right hand side:
x + 5 = x^2/2 + 3 x + 9/2

Subtract x^2/2 + 3 x + 9/2 from both sides:
-x^2/2 - 2 x + 1/2 = 0

Multiply both sides by -2:
x^2 + 4 x - 1 = 0

Add 1 to both sides:
x^2 + 4 x = 1

Add 4 to both sides:
x^2 + 4 x + 4 = 5

Write the left hand side as a square:
(x + 2)^2 = 5

Take the square root of both sides:
x + 2 = sqrt(5) or x + 2 = -sqrt(5)

Subtract 2 from both sides:
x = sqrt(5) - 2 or x + 2 = -sqrt(5)

Subtract 2 from both sides:
Answer:  x = sqrt(5) - 2 or x = -2 - sqrt(5)
You might be interested in
Suman with a mass of 45kg climbs in 3m heigh ladder in 10 seconds. Calculate her power. Plz help me​
attashe74 [19]

Answer:

work done=fdcosø

f=mg=450N

d=+3m

ø=180

450×3×cos(180°) power=work done/

time taken

1350×-1 p=135watts

7 0
3 years ago
Which statement regarding sound traveling in air is correct?
nikdorinn [45]

Answer: D. A wave with a shorter wavelength is always faster than one with a longer wavelength

Explanation: "Imagine two sets of waves that have the same speed. <u><em>If one set has a longer wavelength, it will have a lower frequency (more time between waves). If the other set has a shorter wavelength, it will have a higher frequency</em></u> (less time between waves). Light moves even faster AND has shorter wavelengths."

Why it's not C: "The number of complete wavelengths in a given unit of time is called frequency (f). <em><u>As a wavelength increases in size, its frequency and energy (E) decrease</u></em>. From these equations you may realize that as the frequency increases, the wavelength gets shorter. As the frequency decreases, the wavelength gets longer."

Why it's not B: "The frequency does not change as the sound wave moves from one medium to another. Since the speed changes and the frequency does not, the wavelength must change."

Why it's not A: "Do loud sounds travel faster than soft sounds? No. Both travel at the same speed The speed depends on the medium it passes through. Louder sounds are simply sound waves with higher amplitude traveling at the same speed."

6 0
3 years ago
A planet moves forward because of momentum <br><br> True or False??
lorasvet [3.4K]

Answer:

true

Explanation:

8 0
3 years ago
A sample of an unknown substance has a mass of 89.5 g. If 345.2 J of heat are required to heat the substance from 285 K to 305 K
Zinaida [17]

Heat gained in a system can be calculated by multiplying the given mass to the specific heat capacity of the substance and the temperature difference. It is expressed as follows:<span>

Heat = mC(T2-T1)
345.2 = 89.5(C)(305 - 285)
C = 0.1928 </span>J/g•K

7 0
3 years ago
Read 2 more answers
Waves disturb ____, but do not transmit it
Agata [3.3K]

Answer:

energy

Explanation:

im sure

5 0
3 years ago
Other questions:
  • A 1.4-µC point charge is placed between the plates of a parallel plate capacitor. The charge experiences a force of 0.38 N. What
    7·1 answer
  • What information did mendeleev have about the elements he organized into a periodic table
    8·1 answer
  • State Newtons first law of motion.
    12·1 answer
  • Which of the following is not a multicellular organism?
    13·1 answer
  • Conclusions related to historical events are limited to subjective evaluation of the existing evidence because _____.
    14·1 answer
  • In Hans Oersted’s experiment, why did a compass needle move when an electric current flowed through a nearby wire?
    5·2 answers
  • Please help me out. Convert 28 pints to cups. Using one step conversion.
    6·1 answer
  • Calculate the resistance of a resistor that has a voltage drop of 25 V and a current flow of .5 A.
    5·1 answer
  • The game in the suburbs and rural areas of the Philippines is/are called_____?? ​
    6·1 answer
  • Base your answers to questions 4 and 5 on the informa- tion below
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!