Evaluating each expression means to simplify the expression down to it's simplest form.
Answer:
a(n)= -4n-6
Step-by-step explanation:
If you plug the number of the sequence in as n in the equation (1=-10, 2=-14, etc.) and then plug the actual number (-10, -14, etc.) in as the a(n), for each of the equations, the only one that works with all four is the first one.
Answer:
(12, 487)
Step-by-step explanation:
y = 3.7x + 442 ----› Eqn. 1
y = 14.4x + 312 ----› Eqn. 2
Substitute y = (3.7x + 442) into eqn. 2.
y = 14.4x + 312 ----› Eqn. 2
3.7x + 442 = 14.4x + 312
Collect like terms
3.7x - 14.4x = -442 + 312
-10.7x = -130
Divide both sides by -10.7
x = 12.1495327
Substitute x = 12.1495327 into eqn. 1.
y = 3.7x + 442 ----› Eqn. 1
y = 3.7(12.1495327) + 442
y = 486.953271
The solution to the system is rounded to the nearest integer:
(12, 487)
Use the distance formula to find the diameter:
d = sqrt((x2-x1)^2 + (y2-y1)^2)
Diameter = sqrt((-2 - -2)^2 + (-2 - 3)^2)
Diameter = sqrt((0)^2 + -5^2)
Diameter = sqrt(5^2)
Diameter = 5
The radius is half the diameter: 5/2 = 2.5 units
