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
10 times as much as blank hundred is 70 hundreds or blank thousands
netineya [11]

Answer:

10 times as much as 7 hundred is 70 hundreds or 7 thousands.

Step-by-step explanation:

The question given is:

10 times as much as _____ hundreds is 70 hundreds or _____ thousands.

Dividing the question into two fractions, we have:

10 times what is 70 hundreds?

What is 70 hundreds in thousands?

10 x 7 hundred = 10 x 700 = 70 hundreds

Recall that 70 hundreds = 70 00

70 hundreds = 70 00 = 7 thousands = 7 000

Therefore, the question can be written as:

10 times as much as 7 hundreds is 70 hundreds or 7 thousands.

7 0
3 years ago
If f(x) = k(x - 2)^2, where k is positive, what is the effect on the graph of f(x) as k increases
pashok25 [27]
The answer is B. Lana Rhoades
4 0
3 years ago
Read 2 more answers
Question 5 Multiple Choice Worth 1 points) (04.05 MC) Determine if the ordered pair (-1 , -5) is a solution to the inequality y≤
Zielflug [23.3K]

Answer:

(-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that  (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.

Step-by-step explanation:

Given the inequality

y\le -\frac{3}{4}x-1

substituting (-1, -5)  to check whether it satisfies the inequality or not

-5\le \:-\frac{3}{4}\left(-1\right)-1

-5\:\le \:\frac{3}{4}-1

-5\:\le -\frac{1}{4}

TRUE

Thus, (-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that  (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.

4 0
3 years ago
Given the following functions f(x) and g(x), solve (f ⋅ g)(3) and select the correct answer below:
Ksenya-84 [330]
I believe you may have the order incorrect. If we were looking at g(f(x)) the answer would be 47. We would get this by sticking the 3 in for x in f(x) and solving, which would give us 48. We would then stick that answer in for x in the g(x), giving us 47. 

In its current order the answer would be 28. 
6 0
3 years ago
How do I get the answer to this math problem n + 7 < -3 what is the formula for the math problem
laiz [17]
If I understand the question, you have to get n alone. in this case, you have to subtract 7 from both sides, resulting in n (is less than) -10
8 0
3 years ago
Other questions:
  • Ashley needs to buy some pencils. Brand A has 20 pencils for $6. Brand B has 40 pencils for $8.50. Based on the unit price, whic
    5·1 answer
  • Read the question of question 3 and answer the pink <br> Blue <br> Black
    15·1 answer
  • Solve the system of equations by graphing on your own paper. What is the x-coordinate of the solution?
    9·1 answer
  • Which picture illustrates the prophase stage of mitosis?
    9·2 answers
  • Duane recorded the temperature outside his window one morning. On the second day,
    14·1 answer
  • 2
    6·1 answer
  • 2. If r=7 is a solution to -6r+18=k(x-15), then which of the following must be the value of K?
    13·1 answer
  • Which function is the inverse of y=2^x
    10·1 answer
  • 84 cubic inches<br> 90 cubic inches<br> 100 cubic inches<br> 126 cubic inches
    10·1 answer
  • Find the value of k if x-1 is the factor of x ^ 2 + x + k​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!