Answer:
<em>2 solutions</em>
Step-by-step explanation:
Given the expression
2m/2m+3 - 2m/2m-3 = 1
Find the LCM of the expression at the left hand side:
2m(2m-3)-2m(2m+3)/(2m+3)(2m-3) = 1
open the bracket
4m²-6m-4m²-6m/(4m²-9) = 1
Cross multiply
4m²-6m-4m²-6m = 4m² - 9
-12m = 4m² - 9
4m² - 9+12m = 0
4m² +12m-9 = 0
<em>Since the resulting equation is a quadratic equation, it will have 2 solutions since the degree of the equation is 2</em>
Notice the following pattern:
2 - 0 = 2
6 - 2 = 4
12 - 6 = 6
20 - 12 = 8
It's reasonable to assume that consecutive terms in the sequence differ by increasing multiples of 2, so that for the next number (call it x) we expect to see
x - 20 = 10 ==> x = 30
and for the number after that (call it y) we would see
y - x = y - 30 = 12 ==> y = 42
Answer:
Step-by-step explanation:
y
=
x
2
+
91
Explanation:
Let the number be x
, then Square of the number is x
^2
91 more than the square of a number" will be x^
2 + 91
So, we can write it as an algebraic expression with two variables as :
y
=
x
^2 + 91
Diameter=6m
radius=6/2=3m
Volume of the cylinder
=π× r^2 ×h
=π× 3^2 ×5
=π× 9×5
=45π
=141.37
=141 m^3
