Answer:
50
Step-by-step explanation:
p/5=10
Your main goal is to isolate p
p/5 = 10, in order to eliminate the 5, multiply 5 on both sides, since it's the inverse of division.
(5)p/5 = 10(5)
p=50
<h3>
Answer: 5 - 4i (choice A)</h3>
===================================================
Work Shown:
x = the other number
(5+4i)*x = 41
x = 41/(5+4i)
x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below
x = 41*(5-4i)/( 41 )
x = (41/41)*(5-4i)
x = 5 - 4i
As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41
The rule used is (a-bi)(a+bi) = a^2 + b^2
-----------
Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.
The equation of a line starting from two points is:
From the first point you get: x1 = -1, y1 = -2
From the second point you get: x2 = 3, y2 = 10
Replace x1, y1, x2, y2 in the equation of the line and you get:
From this you get the equation of your line:
Answer:
x = 9
Step-by-step explanation:
since the terms are in AP then there is a common difference between consecutive terms, that is
a₂ - a₁ = a₃ - a₂ ( substitute values )
x - 7 = 11 - x ( add x to both sides )
2x - 7 = 11 ( add 7 to both sides )
2x = 18 ( divide both sides by 2 )
x = 9
