Circumference of a circle:
C = 2 r π;
Length of an arc:
L = r π α / 180°
L = r π · 30° / 180° = r π /6
r π /6 : 2 r π = 1/6 : 2 = 1/12
Answer: A ) 1/12
Solve the following system using elimination:
{x - 2 y = -23 | (equation 1)
{x - y = 7 | (equation 2)
Subtract equation 1 from equation 2:
{x - 2 y = -23 | (equation 1)
{0 x+y = 30 | (equation 2)
Add 2 × (equation 2) to equation 1:
{x+0 y = 37 | (equation 1)
{0 x+y = 30 | (equation 2)
Collect results:
Answer: {x = 37 , y = 30
Let "L" represent the population of Linton
and "E" represent the population of Ellmore
12 times E = L
because "Linton is 12 times as great as .. Ellmore"
then E + L = 9646
because "the combined population is 9646"
since L = 12*E
we can plug that into the other equation and get:
E + 12*E = 9646
13*E = 9646 [by adding like terms]
E = 742 [by divided both sides by 13]
so now we have E
we can plug that back into the 1st equation to get L
12*(742) = L
L = 8904
so Population of Linton = 8904
and the Population of Ellmore = 742
9514 1404 393
Answer:
√629 ≈ 25.08
Step-by-step explanation:
The distance formula is useful for this.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((-12 -13)² +(6 -8)²) = √(625 +4) = √629 ≈ 25.08
The distance between the points is about 25.08 units.