To simplify 4/(2+7i), we multiply it by a fraction equal to one that removes the i value in the denominator. The best value to do this is the complex conjugate divided by itself, so we have 4(2-7i)/((2+7i)(2-7i)). Simplifying, we have (8-28i)/(4-(-49))=(8-28i)/53, which is a completely simplified fraction since 8 and 53 are relatively prime (or coprime), and there are no radicals in the denominator.
Step-by-step explanation:
m1.m2 = -1
18.m2 = -1
m2 = -1/18
formula = y - y1 = m2 ( x - x1)
y - (-5) = -1/18 ( x -1)
y + 5= -1x/18 +1/18
y = -1x/18 -89/18
Answer:
Irrational.
Step-by-step explanation:
The square root of 35 is not a perfect integer.
Answer:
1.8
Step-by-step explanation:
slope formula: (y2-y1)/(x2-x1)
(86-32)/(30-0)
54/30
1.8
1 7/8 tons of sand will be required to fill the playground
