Answer:
26
Step-by-step explanation:
Let x be the first even integer
x+2 is the second even integer
x+4 is the third even integer
The sum of three consecutive even integers is 84
x+ (x+2) + (x+4) =84
Combine like terms
3x +6 = 84
Subtract 6 from each side
3x+6-6 =84-6
3x =78
Divide each side by 3
3x/3 = 78/3
x =26
The three integers are 26, 28,30
The smallest is 26
Answer : 50
Explanation : All angles of a triangle add up to 180
Formula for area:
Area = Wide x Length
Wide: x + 5
Long: 3x - 2
Area = (x + 5) x (3x - 2)
Area = 3x² - 2x + 15x - 10
Area = (3x² + 13x - 10) square feet
Similarities: They both are polynomials of degree 2, both of their graphs is a parabola, both have either 2 or 0 real solutions, they are both continuous functions over R
(DOS= difference of two squares, PST=perfect square trinomial
Differences: PST has three terms, whereas the difference of squares has 2. PST's factors are both the same, whereas DOS's elements are conjugates of each other. DOS can always be factored into two distinct polynomials with rational coefficients, whereas PST has two same polynomial factors.
