Answer: 14x^2-93xy+60y^2 Hope that helps!
Step-by-step explanation:
1. Expand by distributing terms
(20x-12y)(x-4y)-(3x-4y)(2x+3y)
2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd
20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)
3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd
20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)
4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2
5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)
6. Simplify.
And your answer would be 14x^2-93xy+60y^2
Answer:
<u>The sum of the first 5 terms of the series is 77.</u>
Step-by-step explanation:
1. Let's review the information provided to us for solving the sum of the first 5 terms of the series:
1st term = 7
2nd term = - 14
3rd term = 28
4th term = - 56
2. Let's solve the sum of the first 5 terms of the series:
Aₙ = Aₙ₋₁ * -2 ; A₁ = 7
A₁ = 7
A₂ = A₁ * -2 = 7 * - 2 = - 14
A₃ = A₂ * - 2 = -14 * - 2 = 28
A₄ = A₃ * - 2 = 28 * - 2 = - 56
A₅ = A₄ * - 2 = -56 * - 2 = 112
Sum of the first 5 terms of the series = 7 - 14 + 28 - 56 + 112
<u>Sum of the first 5 terms of the series = 77</u>
the length of a leg on a 45-45-90 triangle given the hypotenuse is half the length of the hypotenuse times sqrt(2)
hypotenuse = 10
10/2 =5
so the answer should be 5sqrt(2), which I don't see as a choice
Answer:
The answer to your question is: letter B. 16 days
Step-by-step explanation:
Materials = $3.89 square foot
Day of labor = $121.26
Total $2982.68
Square feet = 252 more than the number of days
Process
materials = days of labor + 252
materials = m
days of labor = d
m = d + 252 (I)
Total Equation
3.89m + 121.26d = 2982.68
3.89(d + 252) + 121.26d = 2982.68
3.89d + 980.28 + 121.26d = 2982.68
3.89d + 121.26d = 2982.68 - 980.28
125.15d = 2002.4
d = 16
Number of days 16.
