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Sidana [21]
2 years ago
12

In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation o

f a circle, x2 + y2 = r2.
If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle?

A: (h + x)2 + (k + y)2 = r2
B: (x – h)2 + (y – k)2 = r2
C: (k + x)2 + (h + y)2 = r2
D: (x – k)2 + (y – h)2 = r2

Mathematics
2 answers:
ra1l [238]2 years ago
5 0

Answer:

B

Step-by-step explanation:

\textsf{Let}\:(x_1,y_1)=(h,k) → new center of the circle

\textsf{Let}\:(x_2,y_2)=(x,y) → point on the circle

Therefore, the radius (r) is the distance between (x, y) and (h, k)

Use the distance formula:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=d

\implies \sqrt{(x-h)^2+(y-k)^2}=r

Square both sides:

\implies (x-h)^2+(y-k)=r^2

MAVERICK [17]2 years ago
4 0

Answer:

Option B

Step-by-step explanation:

Then we have to use distance formula to derive it

  • √(x-h)²+(y-k)²=r
  • (x-h)²+(y-k)²=r²

Option B is correct

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5. Find m (5x- 2)<br> (9x - 62)
erma4kov [3.2K]

Answer:

73

Step-by-step explanation:

(9x - 62)

(9(15) - 62) =

(135 - 62) =

(73)

<u>m∠KJL </u>= 73

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B4%7D" id="TexFormula1" title="\frac{x}{4}" alt="\frac{x}{4}" align="absmiddle
AlekseyPX
I’m pretty sure the answer is -4 I hope this helps
3 0
3 years ago
Read 2 more answers
9(2a – b)2 – 4(2a – b) – 13
elena-s [515]
18(2a-b)-4(2a-b)-13
=36a-18b-8a+4b-13
Rearrange
=36a-8a-18b+4b-13
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3 0
3 years ago
Twenty years ago, bruce wayne bought a batmobile for 250250250 million dollars. as the crime in gotham city has been down for a
dem82 [27]

Bruce will receive $160 million for the batmobile.

<h3>What is percentage?</h3>

The term "percentage" comes from the Latin phrase "per centum," meaning means "by the hundred." Percentages is fractions with a denominator of 100.

In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Calculating a percentage implies determining a portion of a whole in term of 100. A percentage can be calculated in two ways:

  1. The unitary technique is used.
  2. By adjusting the fraction's denominator to 100.
  3. It must be noted that second method of percentage calculation is not employed when the denominator isn't a factor of 100. In such circumstances, we employ the unitary technique.

Now, according to the question;

Given that prices fall about 20% every decade;

Thus,  100% - 20% = 80%

He paid $250 million for a batmobile twenty years ago.

Let Bruce to receive x millions of dollars for the batmobile.

⇒ 80% of x = 80/100 × x = 4/5 x

⇒ x = 250(4/5)(4/5)

⇒ x = 250(16/25)

⇒ x = 160

As a result, Bruce will receive 160 millions of dollars for such batmobile.

To know more about the percentage, here

brainly.com/question/317717

#SPJ4

The correct question is-

Twenty years ago, Bruce Wayne bought a batmobile for 250 million dollars. As the crime in Gotham city

has been down for a while, he plans to sell it.

How much can he get for the batmobile if the price goes down by 20% every decade? million dollars

6 0
2 years ago
If A={4,5,6,7} and b={a,e,i,o,u} then find n (A)+n(B) ​
kompoz [17]

Answer:

9

Step-by-step explanation:

n(A)+n(B) [n(A)=cardinal numbers of set A.so we have to count the elements and write .

=4+5

=9

6 0
3 years ago
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