Can you please help me out with a question

Mathematics

1 answer:

Finger [1]1 year ago

8 0

The standard equation of a circle is expressed as

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

where

h is the x coordinate of the center of the circle

k is the y coordinate of the center of the circle

r is the radius of the circle(the distance from the center of the circle to the circumference

From the graph,

h = - 1

y = 4

r = 5

By substituting these values into the equation, we have

(x - - 1)^2 + (y - 4)^2 = 5^2

(x + 1)^2 + (y - 4)^2 = 25

Thus, the equation of the circle is

(x + 1)^2 + (y - 4)^2 = 25

You might be interested in

Use the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem. PV=$20

White raven [17]

Assuming monthly payment of $250, which implies APR=0.01*12=0.12.
If it is different, please specify.

target P=20000,
A=250
n=to be determined such that P>=target P=20000
The annuity equation with given (monthly) payment is given by
P=250(P/A,i,n)
=A((1+i)^n-1)/(i(1+i)^n)
=250(1.01^n-1)/(0.01(1.01)^n)
=25000(1.01^n-1)/(1.01^n)
Solve for n by trial and error,
Rewrite
20000<=25000(1-1/1.01^n)
=>
1.01^n>=25000/20000=1.25
Take log on both sides,
n*log(1.01)>=log(5)
n>=log(5)/log(1.01)=161. 75
=> n=162 (next integer)
Check:
P=250(P/A,0.01,162)=250*(1.01^162-1)/(.01*1.01^162)=20012.56 ok.

8 0

3 years ago

Kelly was building a bed for her dollhouse. She used her bed, which is 4 feet × 6 feet, as a guide. She scaled down the dimensio

victus00 [196]

1/5=x/4
0.8ft
1/5=x/6
1.2ft
Dimensions are 0.8ft X 1.2ft.

5 0

3 years ago

Read 2 more answers

Find the value of x for which ABCD must be a parallelogram

Tamiku [17]

They are equal so...

15x+2 = 9x+20

15x-9x = 20-2

6x =18

x = 18/6 = 3

x = 3

6 0