9x² + 0x - 4
x + 5|9x³ + 45x² - 4x - 20
<u>9x³ + 45x² </u>
-4x - 20
<u>-4x - 20</u>
0
The answer is equal to 9x² - 4.
The slope of the given line is ∆y/∆x = (4-6)/(5-1) = -2/4 = -1/2. The slope of the desired (perpendicular) line is the negative reciprocal of this, -1/(-1/2) = 2.
The point-slope form of the equation for a line with slope m through point (h, k) is
... y - k = m(x - h)
For slope 2 and the given point, your equation can be
... y + 6 = 2(x + 2)
Answer:
1293 soccer books
Step-by-step explanation:
The tricky part about questions like this is: how do I assign variables to the three types of book?
You get a clue from the sentence, "She sold 3 times as many copies of the soccer book as the baseball book." The number of soccer books is being described by referring TO the number of baseball books. Pick a variable and assign it to the item being REFERRED TO!
x = number of baseball books
Then 3x = number of soccer books. The number of basketball books is the same, so 3x = number of basketball books. Here's the list...
x = number of baseball books
3x = number of soccer books
3x = number of basketball books
The total of these is 3017, so
x + 3x + 3x = 3017
7x = 3017
x = 431
Ah! But don't forget to look back at the question: it asks for the number of SOCCER books! That's 3x, so 3(431) = 1293.
Answer:
The circumference is 37.7 mm.
