Step-by-step explanation:
First, let's distribute the 
variable to each term in the first parenthesis:
Next, let's distribute the variable to each term in the second parenthesis:
Next, let's group like terms together:
Finally, let's add or subtract like terms to get the result:
Answer:
a) If c=3662 then q=228 and r=14.
b) If c=-3662, then q=-229 and r=2
Step-by-step explanation:
a) Observe that 229*16=3664, since r must be in the interval [0,16), then 229 doesn't work, but 228*16=3648 and 3662-3648=14.
Then 3662=228*16+14.
b) Observe that -228*16=-3648 and -3648-14=-3662, but r= must be positive. Then -228 doesn't work.
But observe that -229*16=-3664 and -3664+2=-3662. So -3662=-229*16+2
The point lies directly on the regression line.
Answer:
Step-by-step explanation:
A]
Both have the same surface area. The numbers are just rearranged.
B]
Is the correct answer.
The surface area of the first one is 2*8*5 + 2*8*6 + 2*5*6 = 236
The surface area of the second is 2*10*8 + 2*10*3 + 2*8*3 = 244
C]
Another rearrangement. Not the answer.
D]
Equation format for a slope, m and a point (x1, y1)
y - y1 = m(x - x1) (Try and memorize this formula)
8) for (3,-4), m = 6. x1 = 3, y1 = -4, Substituting
y - y1 = m(x - x1)
y - (-4) = 6(x - 3)
y + 4 = 6x - 18
y = 6x - 18 - 4
y = 6x - 22
10) for (-2,-7), m = 4/5. x1 = -2, y1 = -7, Substituting
y - y1 = m(x - x1)
y - (-7) = (4/5)*(x - (-2))
y + 7 = (4/5) *(x +2) 4/5 = 0.8
y + 7 = 0.8x + 1.6
y = 0.8x + 1.6-7
y = 0.8x - 6.4
y = (4/5)x - (64/10)
y = (4/5)x - (32/5)
So same approach to solve others. Cheers.
