The equation of a sphere is:
(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2
where h, k and l are the coordinates of the center of the
sphere
Using the midpoint formula, the coordinate of the center
is:
h = (-4 + 6) / 2 = 1
k = (7 + -5) / 2 = 1
l = (6 + 7) / 2 = 6.5
so the equation becomes:
(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2
we plug in any point, in this case point P to solve for r:
(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2
r^2 = 61.25
So the full equation is:
<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>
Answer:
The measure of ∠ C is 180°-3∝
Step-by-step explanation:
We are given a ΔABC
∠A = ∝
∠B = 2∝
Angle sum property of triangle : The sum of all angles of triangle is 180° is called angle sum property of triangle
So, ∠A+∠B+∠C=180°
∝+2∝+∠C=180°
3∝+∠C=180°
∠C=180°-3∝
Hence the measure of ∠ C is 180°-3∝
Answer:
16
Step-by-step explanation:
so in this equation we have 2 variables, and we must figure out what those variables mean:
y: "y" is the total amount of money joe has after subtracting his debt from it
x: "x" is the # of months as the cost of each month(30) is placed just before this variable
as y is the total amount of money joe has we need to substitute it for 230 to figure out how long it took for joe to recieve that much money
230=30x-250
480=30x
x=16
it took joe 16 months to get $230
Answer:
28
Step-by-step explanation:
40% 6th graders of 70 total = 28 6th graders
40% 6th graders + 20% 7th graders = 60%
100% - 60% = 40% 8th graders
40% are 8th graders therefore the answer is 28
Answer:
it's 8
Step-by-step explanation:
just get 72 and divide it by 9 and that's the average over the 9 years.
