The equation of a circle is:
Where (xc,yc) are the coordinates of the center.
Center (5, -5)
Radius = 3
(x-5)²+(y+5)²=3²
x²-10x+25+y²+10y+25=9
x²+y²-10x+10y+41=0
Answer:
(13)
<u>x= 8</u>
<u>y=11</u>
(14)
<u>x= 20</u>
<u>y=20.75</u>
(15)
<u>x=9</u>
<u>y=13</u>
Step-by-step explanation:
(13) 8x-1 = 11x -25
24=3x
<u>x= 8</u>
8(8)-1 +15y-48= 180
15y=165
<u>y=11</u>
(14) 7x-44 + 4x + 4= 180
11x= 220
<u>x= 20</u>
4(20)+4+39= 8y-43
123=8y-43
166=8y
<u>y=20.75</u>
(15) 12x+1=15x-26
3x=27
<u>x=9</u>
28+15(9)-26+4y-9=180
4y=52
<u>y=13</u>
Answer:
r = 225 Mil/h speed of the airplane in still air
Step-by-step explanation:
Then:
d is traveled distance and r the speed of the airplane in still air
so the first equation is for a 4 hours trip
as d = v*t
d = 4 * ( r + 25) (1) the speed of tail wind (25 mil/h)
Second equation the trip back in 5 hours
d = 5 * ( r - 25 ) (2)
So we got a system of two equation and two unknown variables d and
r
We solve it by subtitution
from equation (1) d = 4r + 100
plugging in equation 2
4r + 100 = 5r - 125 ⇒ -r = -225 ⇒ r = 225 Mil/h
And distance is :
d = 4*r + 100 ⇒ d = 4 * ( 225) + 100
d = 900 + 100
d = 1000 miles
First thing to do is solve the given equation for v
-11v-7 = 4
-11v = 4+7
-11v = 11
v = 11/(-11)
v = -1
Once we know this, we can use it to compute the following
7v-10 = 7*(-1) - 10 = -7 - 10 = -17
--------------------------------
Answer: -17
Answer:
<h2>
w = -8</h2>
Step-by-step explanation:
Given the equation solved by Ernesto expressed as 
, the extraneous solution obtained by Ernesto is shown below;
Hence, the extraneous solution that Ernesto obtained is w = -8
