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
sergiy2304 [10]
3 years ago
13

Can please someone help me? The question is in the picture. Thank you

Mathematics
1 answer:
maxonik [38]3 years ago
6 0

Answer:

C. 9\pi

Step-by-step explanation:

We proceed to solve for x by the Pythagorean Theorem:

(x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2} (1)

x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)

x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x  + 17

4\cdot x^{2} -20\cdot x + 16 = 0

(2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0

(2\cdot x -8)\cdot (2\cdot x -2) = 0

There are two different solutions:

x_{1} = 4, x_{2} = 1

A solution of x is considered realistic when the length of every side of the triangle is a not negative number.

x_{1} = 4

UV = 2\cdot (4) - 4

UV = 4

WU = 4 - 1

WU = 3

WV = 4 + 1

WV = 5

x_{2} = 1

UV = 2\cdot (1) - 4

UV = -2

WU = 1 - 1

WU = 0

WV = 1 + 1

WV = 2

The only realistic set of solutions is for x = 4, and the radius of the circle is represented by the line segment WU: r = 3

And the area of the circle (A) is calculated from the following formula:

A = \pi\cdot r^{2}

A = \pi\cdot (9)

A = 9\pi

The correct answer is C.

You might be interested in
How many teaspoons are in a quart
dmitriy555 [2]
There are 192 teaspoons in 1 quart
3 0
3 years ago
A garden has four sides are all the same length each side measures X +4 units the greatest perimeter is 112 units what is the va
slega [8]
You take 112 / 4 and you get 28. X=28
6 0
2 years ago
Read 2 more answers
A paperclip manufacturer puts 75 paperclips in each box. Every hour the factory produces 114,375 paperclips. How many boxes does
scZoUnD [109]
The answer is A 1,525 paperclips
because 114,375 divided by 75 is 1,525
3 0
2 years ago
Slove this equation<br>28 /3​
Snowcat [4.5K]

Answer:

Step-by-step explanation:

so u divide 28 by 3 and u get 9 but u have 1 left but if you keep dividing u will get 3 so its 9.33 into infinty

3 0
3 years ago
PLEASE HELP! I ONLY HAVE 15 MINS! WILL MARK BRAINLIEST! 20 POINTS! Suppose N coins lie heads up on a table. In one turn, you can
Romashka [77]

Answer: it is only possible if N = 2.

Step-by-step explanation:

if you have N  heads up coins.

turn one, you turn N -1 coins up.

Now you have N - 1 coins tails up and one coin heads up.

Second turn, you turn N - 1 coins, (if you select the same N - 1 coins as before, you will end in the initial situation, so now we will change one coin, this time we will select the coin that is still heads up and we will leave one of the tails up unchanged)

Then we have N - 2 coins heads up and 2 coins tails up.

Now, we can select any N -1 coins to flip, and we will end with with N - 1 coins tail up and 1 coin heads up.

and this cycle will repeat.

Then the only situation is having N = 2.

Becuase when we have N -2 coins heads up and 2 coins tails up we will have: N - 2 = 0, so we have 0 coins heads up and 2 coins tails up.

This means that the statement is only true if N = 2.

6 0
2 years ago
Other questions:
  • 5n2+100=30n , need help explaining how you would work this out
    8·1 answer
  • Steve is taller than Jon, but Elijah is taller than Steve. Who is taller, Elijah or Steve?
    6·2 answers
  • 80% of blank games is 32 games
    15·2 answers
  • Can you please answer my question?
    12·2 answers
  • Student spend 5 minutes of every 60 minutes at school moving from class to class. Which fraction is equivalent to the number of
    12·1 answer
  • 11.
    13·1 answer
  • Write an equation of a line with s of slope of 7/8 and a y-intercept of 5/9 s
    13·2 answers
  • Find the area of the composite shape below.
    6·1 answer
  • 5. Which expression defines the arithmetic series 1 + 3 + 5 +... for seven terms?
    15·1 answer
  • Two bottles are selected at random, without replacement from a drawer containing 2 bottles of coke, 3 bottles of fanta and 4 bot
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!