There exist two coefficients: one pertains to x raised to the first degree, and another corresponds to the zeroth degree of x (the constant term).
Thus:
the coefficient for the constant term is 42 (i.e. 42x^0=42).
the coefficient for the linear term is 2 (i.e. 2x^1=2x)
The answer
the full question is
If A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) create two line segments, and AB ⊥ CD, what condition must be satisfied to establish that AB ⊥ CD?
Let A(x1, y1) and B(x2, y2) represent the first line, while C(x3, y3) and D(x4, y4) represent the second line.
The slope for the first line is given by m = (y2 - y1) / (x2 - x1).
For the second line, the slope is m' = (y4 - y3) / (x4 - x3).
The necessary condition to demonstrate that AB ⊥ CD is
(y2 - y1) * (y4 - y3)
m × m' = --------- × ------------ = -1
(x2 - x1) (y4 - y3)
To solve this problem, you'll need to create two equations:
x + y = 155 (total packages)
3x + 8y = 815 (total weight)
Next, multiply the first equation by 3: 3x + 3y = 465.
Then, subtract the first equation from the second to find that 5y = 350, which means y = 70. Thus, there are 70 packages that weigh 8 pounds.
Answer:
600 books
Step-by-step explanation:
The dimensions of the bin are
5 by 2 by 3
The volume of the bin is found by multiplying these three dimensions.
Volume of Bin = 5 * 2 * 3 = 30 cubic feet
To find the volume of each book, we use the same method. The dimensions of one book are:
1 by 0.5 by 0.1
Volume of 1 book = 1 * 0.5 * 0.1 = 0.05 cubic feet
The total number of books fitting into the bin is calculated by:
30/0.05 = 600 books
Try this method:
When a graph shifts right, replace 'x' with 'x' minus the number.
When it shifts down, subtract the number from 'y'.
So the final equation becomes: y = 4(x - 5)² - 18.
The answer is A.
