Answer:
44 +14i
Step-by-step explanation:
(5 + i)(9 + i)
FOIL
first 5*9 = 45
inner: 9i
outer :5i
last: i*i = i^2 = -1
Add togheter
45 + 9i+5i -1
Combine like terms
44 +14i
Answer:
Area of shaded region = 351.68 cm²
Step-by-step explanation:
Area of a circle = πr²
where r = radius = 3.14
Area of bigger circle = 3.14 × 11²
= 3.14 × 11 × 11
= 379.94cm²
Area of smaller circle = 3.14 * 3²
= 3.14 × 3 × 3
= 28.26cm²
Area of shaded region = Area of bigger circle - Area of smaller circle
= (379.94 - 28.26) cm²
= 351.68 cm²
Answer:
x = 9/k
Step-by-step explanation:
Slopes of perpendicular lines are opposite reciprocals of each other. The slope of the given equation (which is in slope-intercept form) is 1, the invisible coefficient of x. The opposite reciprocal of 1 is -1, thus the slope of a line perpendicular to the line y = x + 4 is -1.
Hope this helps.
Answer:
Roughly 18,000
Step-by-step explanation:
When you need to do rough mental math, you can do something like 720 vs 25 or 30 which is pretty simple to do in your head.
If you are very proficient in mental math, you can do something like 720 * 25, which is harder, but if you know the tricks, you can do this quickly.
720 * 25
Multiply 25 by 7.
175
Add two zeros.
17,500
Multiply 25 by 2
50
Add a zero.
500.
17500 + 500 = 18000
