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
blsea [12.9K]
3 years ago
5

Solve x=2√(x-4) + 4.

Mathematics
1 answer:
stich3 [128]3 years ago
8 0

Answer:x=4,8

Step-by-step explanation:

Given

x=2\sqrt{x-4}+4

x-4=2\sqrt{x-4}

Squaring both sides

(x-4)^2=4(x-4)

x^2+16-8x=4x-16

x^2-12x+32=0

x=\frac{12\pm \sqrt{12^2-4\times 32}}{2}

x=\frac{12\pm 4}{2}

x=4,8

You might be interested in
Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee.
DanielleElmas [232]

Answer:

it's 8

Step-by-step explanation:

the lil hand is on the 8 and the big hand is on the 12

6 0
1 year ago
Read 2 more answers
Solve for m.<br> 22m^2 + 7m - 2 = 0
pshichka [43]

Answer:

x= -1/2 and x=2/11

Step-by-step explanation:

Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x

Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0

Look at it as if there are two equations: 22x^2+11x and -4x-2

Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)

Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)

Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2

Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:

(11x-2)(2x+1)

Solve each equation for x by equaling them both to zero

5 0
3 years ago
Andrew is selling tickets for the school play, and charges t dollars for adult tickets and 2 dollars for child tickets. On Monda
Andru [333]

Answer:

T=4 plz make brainlest answer

Step-by-step explanation:

Monday overall cost 36+5t

Tuesday overall cost 20+9t

36+5t=20+9t

-20 -20

16+5t =9t

-5t -5t

16=4t

t=4

Check

36+5t=20+9t (t=4)

36+20=20+36

It works

3 0
3 years ago
Product A requires 5 machine hours per unit to be produced, Product B requires only 3 machine hours per unit, and the company's
Lesechka [4]

Answer:

  Produce only Product B.

Step-by-step explanation:

The contribution margin per machine hour for product A is ...

  ($16 -$6)/(5 hour) = $2 per hour

The contribution margin per machine hour for product B is ...

  ($12 -$5)/(3 hour) ≈ $2.33 per hour

The company should produce the maximum possible number of the product that contributes the most per machine hour: Product B.

5 0
3 years ago
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
seropon [69]

Answer:

h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}

Step-by-step explanation:

1) The Fundamental Theorem of Calculus in its first part, shows us a reciprocal relationship between Derivatives and Integration

g(x)=\int_{a}^{x}f(t)dt \:\:a\leqslant x\leqslant b

2) In this case, we'll need to find the derivative applying the chain rule. As it follows:

h(x)=\int_{a}^{x^{2}}\sqrt{5+r^{3}}\therefore h'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left (\int_{a}^{x^{2}}\sqrt{5+r^{3}}\right )\\h'(x)=\sqrt{5+r^{3}}\\Chain\:Rule:\\F'(x)=f'(g(x))*g'(x)\\h'=\sqrt{5+r^{3}}\Rightarrow h'(x)=\frac{1}{2}*(r^{3}+5)^{-\frac{1}{2}}*(3r^{2}+0)\Rightarrow h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}

3) To test it, just integrate:

\int \frac{3r^{2}}{2\sqrt{r^3+5}}dr=\sqrt{r^{3}+5}+C

5 0
2 years ago
Other questions:
  • The curved part of this figures is a semicircle.
    7·1 answer
  • Elena has a bottle that has a capacity of 34 quarts. What is the maximum amount of liquid that can be stored in this bottle?
    13·1 answer
  • Michales basketball team practiced for 2 hours and 40 minutes yesterday and 3 hours and 15 minutes today go much longer did the
    10·1 answer
  • What is the volume of a triangle prism that has a height of 45 meters and has a base with an area of 20 square meters
    9·1 answer
  • Kareem cannot decide which of two washing machines to buy. The selling price of each
    13·1 answer
  • Vita has a piece of ribbon that is 5 meters long. She cuts the ribbon into pieces that are each 1/3 meter long. How many pieces
    13·1 answer
  • PLEASE HELP ANSWER THESE
    13·1 answer
  • Hi please i need the complete step-by-step solution for number 5. thank you​
    11·1 answer
  • Please help meee its dueeeeee
    9·2 answers
  • What is the measure (in radians) of central angle in the circle below?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!