Answer:
a) -3
b) 117
c) 100
Step-by-step explanation:
(a) 2(1)²-5(1)
1²= 1
2×1= 2
2-5= -3
(b) 2(9)²-5(9)
9²= 81
81×2= 162
162-45= 117
(c) 2(4)²-5(4) +2(8)²-5(4)
4²=16
16×2= 32
32-20= 12
8²=64
64×2= 128
128-40= 88
88+12= 100
hope it helps!
Answer:
8
Step-by-step explanation:
Point 1: (-3, 7)
Point 2: (-17, 3)
To find the slope, we need to use the slope formula which is as follows: m = (y2 - y1) / (x2 - x1). We will plug in each x and y coordinate from our points above, respectively.
m = (3 - 7) / (-17 - - 3)
m = (-4) / (-14)
m = 2/7
The slope of the line that goes through (-3, 7) and (-17, 3) is 2/7.
Hope this helps!! :)
Use the Pythagorean theorem to find the diameter:
Diameter = √(19.3^2 - 9.5^2)
Diameter = √(372.49 - 90.25)
Diameter = √282.24
Diameter = 16.8 m
Volume of a cylinder = PI x r^2 x h
r = 1/2 diameter = 16.8 /2 = 8.4
h = 9.5 m
Volume = PI x 8.4^2 x 9.5
= PI x 70.56 x 9.5
= PI x 670.32
In terms of PI volume = 670.32PI
As a decimal:
670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)