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
Solve the equation.<br> 6x + 7 = 8x-15<br> help :(
Anvisha [2.4K]

Start by getting all terms with x on one side and all terms without on the other.

6x+7=8x-15

subtract 6x from both sides

7=2x-15

add 15 to both sides

22=2x

divide both sides by 2

11=x

7 0
3 years ago
Read 2 more answers
101.24 to the nearest hundredth
BaLLatris [955]

Answer:

101.24

Step-by-step explanation:

101.24 is already to the nearest hundredth place.

To the nearest tenth would be 101.2 and to the nearest digit would be 101

5 0
3 years ago
Use the first and last data points to find the slope intercept equation of a trend line.
andriy [413]

Answer:

y = \frac{16}{3}x-79

Step-by-step explanation:

From the given table,

Two points are (1, 15) and (7, 47)

If the two points (x_1,y_1) and (x_2,y_2) are lying on a line then slope 'm' of the line will be,

m = \frac{y_2-y_1}{x_2-x_1}

   = \frac{47-15}{7-1}

   = \frac{32}{6}

   = \frac{16}{3}

Let the equation of a line passing through (h, k) is,

y - h = m(x - k)

If the line passes through (1, 15)

y - 1 = \frac{16}{3}(x-15)

y = \frac{16}{3}x-\frac{16}{3}(15)+1

y = \frac{16}{3}x-80+1

y = \frac{16}{3}x-79

4 0
3 years ago
An isosceles triangle △ABC with the base BC is inscribed in a circle. Find the measures of angles of the triangle, if measure of
____ [38]

Answer:

  • angle at A: 51°
  • base angles: 64.5°

Step-by-step explanation:

The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.

The base angles  at B and C are the complement of half this value, or ...

  90° -(51°/2) = 64.5°

The angle measures in the triangle are ...

  ∠A = 51°

  ∠B = ∠C = 64.5°

6 0
3 years ago
If 2/3=x/12 , what is the value of x?
Andru [333]
2/3=x/12
Use cross multiply
2*12=3*x
24=3x
Divided both side by 3
24/3=3x/3
x=8
Check:
2/3=x/12
Substitute x with 8
2/3=8/12
2/3=(8/4)/(12/4)
2/3=2/3. As a result, x=8. Hope it help!
8 0
3 years ago
Read 2 more answers
Other questions:
  • Root 8 + 3 root 32 - root 50
    15·1 answer
  • Do all then, show your work also. If you're first comment and it's all right then you get the crown
    12·1 answer
  • Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.
    14·2 answers
  • What do they mean by this plz help me
    13·1 answer
  • What is the next term In the sequence? 1, 4, 9, 16, __
    10·2 answers
  • Find area of shaded region. Please help!​
    12·1 answer
  • Order the following fractions from least to greatest 2/8 2/3 2/9
    12·1 answer
  • Rewrite 2 x 2^4 as an expression as a single power
    7·1 answer
  • Helpppp meeee! pleaseeee!​
    10·2 answers
  • PLEASE HELP ME! ALSO PLEASE EXPLAIN!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!