use midpoint equation
radius = distance between midpoint and one of the endpoints.
midpoint: (3+5)/2, (2+6)/2, (5+7)/2 = (4,4,6)
equation of sphere: (x-4)^2 + (y-4)^2 + (z-6)^2 = r^2
square distance between midpoint and one of the endpoints.
r^2 = 6
Equation: (x-4)^2 + (y-4)^2 + (z-6)^2 = 6
Answer:
<em>Assuming person A and person B are part of the 7 people</em>, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.
Step-by-step explanation:
There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.
Answer:
The sum of f(2) and g(-3) is -7.
Step-by-step explanation:
f(x) = 3x - 2
f(2) = 3(2)-2
f(2) = 6 -2 = 4
g(x) = 4x + 1
g(-3) = 4(-3) +1
g(-3) = -12 + 1 = -11
f(2) + g(-3) = 4 + (-11)
f(2) + g(-3) = -7
Answer:
pray to god
Step-by-step explanation:
Answer:
y = x + 7
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y - 8 = - (x + 5) ← is in point- slope form
with m = -
given a line with slope m then the slope of a line perpendicular to it is
= - = - =
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y = x + c ← is the partial equation
to find c substitute (- 6, - 2 ) into the partial equation
- 2 = - 9 + c ⇒ c = - 2 + 9 = 7
y = x + 7 ← equation of line K