X + Y + Z = 8
2x = Z - 2
X + Z = 5
X = 1
1 + Y + Z = 8
Y + Z = 6
1 + Z = 5
Z = 4
1 + Y + 4 = 8
5 + Y = 8
Y = 3
The variables are 1, 3, 4.
The standard form for the equation of a circle is :
<span><span><span> (x−h)^</span>2</span>+<span><span>(y−k)^</span>2</span>=<span>r2</span></span><span> ----------- EQ(1)
</span><span> where </span><span>handk</span><span> are the </span><span>x and y</span><span> coordinates of the center of the circle and </span>r<span> is the radius.
</span> The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (−10,1)and(−8,5) is :
((−10+(−8))/2,(1+5)/2)=(−9,3)
So the point (−9,3) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(−10−(−9))^2+(1−3)^2=1+4=5
⇒r=√5
Subtituting h=−9, k=3 and r=√5 into EQ(1) gives :
(x+9)^2+(y−3)^2=5
Answer:
-7
Step-by-step explanation:
y-intercept
x=0
y-3= -2x-10
y=2(0)-10+3
y=0-7
y= -7
(0;-7)
This is wanting you to find the average. So add up the services and divide them by the number of services. The answer is Allcante Royal Hotel, which has a mean of 8. The other one has a mean of 7
The perimeter = 2 length + 2 width
the length = the width +47
314 = 2*(w+47) +2w
314 = 2w +94 +2w
220 =4w
w= 220/4 = 55
l = 55+47 = 102
the length = 102 ft
the width = 55 ft
hope helped