I think the answer is -1. Hope this helps
Given:
Two endpoints of a diameter of a circle:
P (-7, -10)
Q (3, 2)
a) To find the center of the circle, find the midpoint of the two points:
midpoint:
(x2 - x1 )/ 2 , (y2 - y1) / 2
x= (2 - (-7))/2 = 4.5
y= (3 - (-10))/2 = 6.5
Therefore, the center of the circle is at C(4.5, 6.5)
b) To find the radius of the circle, we need to find the distance between the two points and divide by 2.
d = √(y2-y1)^2 + (x2 - x1)^2
d = √(2-(-7))^2 + (3 - (-10))^2
d = 5√10 = diameter
r = d/2 = 5√10 /2
Answer:
C) x^2 + y^2 = 16
Step-by-step explanation:
<h2><u>Find the equation </u></h2>
since the radius is 4 this means that anywhere from the center of the circle to the edge of the circle is 4. hence :
place the horizontal line of the radius where y = 0 .
this means that if y = 0 , then x = 4
therefore :
x^2 + y^2
4^2 + 0^2
= 16
<h3><u>hence the answer is C ) x^2 + y^2 = 16</u></h3>
Volume of the prism:
V = B · h, where B stays for the area of the base and h stays for the height of the prism. And we know that d1 = 8, d2 = 6
B = ( d1 · d2 ) / 2 = ( 8 · 6 ) / 2 = 48 / 2 = 24
V = 24 · 16 = 384
Answer:
The volume of the prism is 384 cubic units.
