Answer:
(a) The product of the sum of a and b and their difference.
![(a+b)\times{(a-b)}\\=a^2-b^2](https://tex.z-dn.net/?f=%28a%2Bb%29%5Ctimes%7B%28a-b%29%7D%5C%5C%3Da%5E2-b%5E2)
(b) The tripled product of 6a and b².
![3(6a\times{b^2})\\=3(6ab^2)\\=18ab^2](https://tex.z-dn.net/?f=3%286a%5Ctimes%7Bb%5E2%7D%29%5C%5C%3D3%286ab%5E2%29%5C%5C%3D18ab%5E2)
(c) The difference of the squares of 2m and 7n.
![(2m)^2-(7n)^2\\=4m^2-49n^2](https://tex.z-dn.net/?f=%282m%29%5E2-%287n%29%5E2%5C%5C%3D4m%5E2-49n%5E2)
Answer:
x = 39
Step-by-step explanation:
there is a theorem that states that the midsegment in a trapezoid is equal to the sum of the bases divided by two
so, (36 + 42)/2 = x
36 + 42 = 78
78/2 = 39
Answer:
y = 3x + 8
Step-by-step explanation:
y = mx + b
m = slope
slope = change in y / change in x = (44 - 38) / (12 - 10) = 6/2 = 3
y = 3x + b
Now substitute any value from the table to find b. Let's use (10,38)
y = 3x + b
38 = 3(10) + b
38 = 30 + b
8 = b
so equation is y = 3x + 8
Answer:
2
Step-by-step explanation:
15+15 is 25 and for every 15 questions he gets 1 wrong so he got 2 wrong
Answer:
6 hours
Step-by-step explanation:
$14.85 * 40 = $594 for 40 hours
$594 - $727.65= $133.65
14.85*1.5= $22.275 per hour for overtime
133.65 / 22.27= 6 hours roughly