Answer:
3/5n+ 15
Step-by-step explanation:
(n+25)* 3/5
Distribute
3/5n + 3/5*25
3/5n+ 15
The value of r is about 6.
A semi circle is half of a circle, and since a circle is (pi)r^2, it would be 1/2 (pi) r^2. Since the radius is half the diameter, we would turn the 36 inches into 18 inches. So 18in is your radius. Plug it in and you've got it. :)
Answer:
-8
Step-by-step explanation:
For roots r and s, the quadratic can be factored ...
f(x) = (x -r)(x -s) = x^2 -(r+s)x +rs
Then the value of r^2+s^2 can be determined from the coefficient of x (-(r+s)) and the constant (rs) by ...
r^2 +s^2 = (-(r+s))^2 -2(rs) = (r^2 +2rs +s^2) -2rs = r^2 +s^2
Comparing this to your given equation, we have the coefficient of x as (-2m) and the constant term as (m^2+2m+3). Forming the expression ...
(x-coefficient)^2 -2(constant term)
we get ...
r^2 +s^2 = (-2m)^2 -2(m^2 +2m +3) = 2m^2 -4m -6
r^2 +s^2 = 2(m -1)^2 -8
The minimum value of this quadratic expression is where m=1 and the squared term is zero. That minimum value is -8.
Answer:
Step-by-step explanation:
<u>Step 1 :</u>-
<u>Perpendicular condition :-</u>
<u>Step 1:-</u>
Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.
<u>Step 2:-</u>
The given points are (-8,k) and (-4,-8)
finding slope of the first line is
using formula
=
finding slope of the second line is
using formula
=
<u>Step 3:</u>-
using perpendicular condition
The two lines are perpendicular and their slopes are
simplification,we get solution is
<u>Final answer is </u>