Answer:
10. 23
11. -17
12. 0
13. -4
14. -6
15. 4
Explanation:
10. 8+15= 23
11. -8-9= -17
12. 8-8= 0
13. -8+4= -4 (same as 4-8)
14. -10+4= -6 (same as 4-10)
15. 12-8= 4
The slope is 0!! any horizontal line, like y = 1, y = 2, y = any other number, has a slope of 0. because it's a horizontal line, it's flat, so there isn't any incline or decline. just as a note: vertical lines (x = 1, etc.) have an undefined slope.
Answer:
y = 1/2x + 1/2
Step-by-step explanation:
y = 1/2x + b [Parallel lines have the same slope but different y-intercepts]
-2 = (1/2)(-5) + b [Plug in the coordinates (-5,-2) to find the y-intercept b]
b = 1/2 [Solve for b]
y = 1/2x + 1/2
Dixon had a pack of 36 pencils - need more of an explanation?
Answer:
x = 10 - 10sqrt(3)/3
Approximately 4.2265 cm
Volume = 1539.6 cm³
Step-by-step explanation:
Let the height be x
V = (20 - 2x)(40 - 2x)x
V = (800 - 80x - 40x + 4x²)x
V = 4x³ - 120x² + 800x
dV/dx= 12x² - 240x + 800 = 0
3x² - 60x + 200 = 0
x = [60 +/- sqrt(60² - 4(3)(200))]/6
x = [30 +/- 10sqrt(3)]/3
x = 10 +/- 10sqrt(3)/3
Approximately,
15.7735 and 4.2265
d²V/dx² = 24x - 240
For max, d²V/dx² < 0
So, x = 4.2265
V = (20 - 2x)(40 - 2x)x
Plug in x = 10 - 10sqrt(3)/3
V = 1539.600718
