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
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

You might be interested in
skate land charges a $50 fee for a birthday party rental and $4 for each person. Joann has no more than $100 to budget for her p
otez555 [7]

Answer:

11 then Joann would have $2 left over.

7 0
3 years ago
Gail is making costumes for a school play. Each rabbit costume needs one and one half yards of white fur fabric, a yard of blue
Nuetrik [128]
12 yards of white 8 yards of blue and 2 yards of pink
5 0
3 years ago
Is t = 9 a solution to the inequality below?<br><br> 8
dexar [7]

Answer:

no

Step-by-step explanation:

threr is no 9

7 0
3 years ago
No Spam. I will mark Brainliest, if you get it right. A tank's length is 4 feet longer than its width. The height is 2 feet more
dmitriy555 [2]

Answer: 3

Step-by-step explanation:

Let say x the width of the tank,

x+4 its length,

x+2 its height

Volume=105=x(x+4)(x+2)\\\\P(x)=x^3+6x^2+8x-105=0\\\\105=3*5*7\\\\P(1)\neq 0\\P(-1)\neq 0\\P(3)=0\\\\\begin{array}{|c|cccc|}&x^3&x^2&x&1\\&1&6&8&-105\\x=3&&3&27&105\\----&--&--&--&--\\&1&9&35&0\\\end{array}\\\\\\P(x)=x^3+6x^2+8x-105=(x-3)(x^2+9x+35)\\And \ x^2+9x+35\ is\ not \ factorizable\ (\Delat=9^2-4*35 < 0)\\

<u>width=3</u>

length=3+4=7

height=3+2=5

4 0
3 years ago
In a fruit cocktail, for every 30 ml of orange juice you need 20 ml of apple juice and 50 ml of coconut milk. What proportion of
Orlov [11]

30+20+50 = 100 ml total. 20 ml is orange juice.

So, 30/100 reduce by dividing top and bottom by 30 gives

3/10 is the proportion of orange juice in the fruit cocktail.

Hope this helps! :)

7 0
2 years ago
Read 2 more answers
Other questions:
  • Help NEEDED asap if you dont know atleast comment
    12·1 answer
  • bo has 23 video games for sale he plans to donate the money he makes from each sale to a local charity what is the least amount
    5·2 answers
  • Which is a cheaper per song? <br> a) $12 for 15 songs <br> b) $9 for 10 songs
    15·1 answer
  • A computer programmer charges $45 an hour for a coding projects plus a start-up fee of $150.
    13·1 answer
  • A bakery sells a pack of peanut butter cookies for $3 and a
    10·1 answer
  • True or false? In a two-column proof, the right column states your reasons
    12·1 answer
  • I need help on the last question
    8·1 answer
  • How the pic<br> is it nice or dumb
    15·2 answers
  • The value of G for a one-piece 30° x 60° angle iron bracket is 1'/4 inches, and the width of the angle iron is 2 inches. What is
    10·1 answer
  • The ages of two girls are in the ratio of 2:3 . 6 years hence the ratio of the girls will be 11 : 13 find their present age .​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!