The answer is: 83 + 12√35
(a + b)² = a² + 2ab + b²
In (2√5 + 3√7)², a = 2√5, b = 3√7
Just substitute a and b:
(a + b)² = a² + 2ab + b² = (2√5)² + 2 * 2√5 * 3√7 + (3√7)² =
= 2²√5² + 2 * 2 * 3 * √5 * √7 + 3²√7² =
= 4 * 5 + 12 * √(5*7) + 9 * 7 =
= 20 + 12 *√35 + 63 =
= 83 + 12√35
6E1 divided by 2E-1 equals 300
Answer:
4x^2+10x-2=0
Step-by-step explanation:
So the total area of mirror: 2*3 = 6 ft sq
8-6 = 2 ft sq is the area of the frame
x is the thickness of the frame
so we have (2*x)*2+(3*x)*2+x*x*4= 2
4x+6x+4x^2=2
-> 4x^2+10x-2=0
Answer:
Step-by-step explanation:
Gym A has a $150 joining fee and costs $35 per month.
Assuming that Casey wants to attend for x months, the cost of using gym A will be
150 + 35 times x months. It becomes
150 + 35x
Gym B has no joining fee and costs $60 per month.
Again, assuming that Casey wants to attend for x months, the cost of using gym B will be
60 × x months = 60x
A) To determine the number of months that it will both gym memberships to be the same, we will equate them.
150 + 35x = 60x
60x - 35x = 150
25x = 150
x = 150/25 = 6
It will take 6 months for both gym memberships to be the same.
B) If Casey plans to only go to the gym for 5 months,
Plan A will cost 150 + 35×5 = $325
Plan B will cost 60 × 5 = $300
Plan B will be cheaper
Answer:
Step-by-step explanation:
it is all of the side lengths of the four sides times how many trapezoids there are
