Answer:
96
Step-by-step explanation:
Using side b as the base, 4 points makes 3 bases (the space in between). With three bases, you can have 3 bases of 1 segment, 2 bases of 2 segments, and 1 base of 3 segments. This equals 6 bases. Each of these can connect to a point on line a. 6x6=36
Using side a as the base, 6 points makes 5 bases. With 5 bases, you can have 5 bases of 1 segment, 4 bases of 2 segments, 3 bases of 3 segments, 2 bases of 4 segments, and 1 base of 5 segments. This equals 15 bases. Each of these can connect to a point on line b. 15x4=60
36+60=96
The diameter of the sphere is 60 mm which means its radius is 30mm. <span>The radius of a sphere is increasing at a rate of 5 mm/s.
The formula for the radius when the time is x second would be:
</span>r(t)<span>= 30+ 5x
dr/dt= 5
The speed of </span><span>volume increase </span><span>of the sphere volume would be derived from sphere volume:
</span>V(r)=4/3* pi * r^3<span>
dV/dt= 4/3 * pi * 3r^2 * (dr/dt) =4/3* pi * 3(30)^2 * 5 = 18000 pi= 56571 mm^3/s</span>
Answer:
The answer to your question is a) y - 2 = -5(x - 3)
b) y = -5x + 17
Step-by-step explanation:
Data
A (1, 12)
B (3, 2)
Process
1.- Find the slope
Formula
Substitution
2.- Find the equation in point slope form
Equation
y - y1 = m(x - x1)
Substitution and equation
y - 2 = -5(x - 3)
3.- Find the slope-intercept form
Expand the point slope form
y - 2 = -5x + 15
Simplify
y = -5x + 15 + 2
Equation
y = -5x + 17
