Step-by-step explanation:
2x+3y=7
3x+5y=3
-6x-9y=-21
6x +10y= 6
y = -15
2x + 3(-15)= 7
2x - 15 = 7
2x = 22
x = 11
(11,15)
Answer: volume = 309.4 cubic meter
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
h represents the height of the cylinder.
r represents the radius of the cylinder.
π is a constant whose value is 3.14
From the information given
Height = 2.1 meters
Diameter of circular base = 13.7 meters.
Radius = diameter/2 = 13.7/2 = 6.85
Therefore,
Volume = 3.14 × 6.85² × 2.1 =
309.4 cubic meter to the nearest tenth
Question #1:
a)
(4, 2)
Both of these are positive, and when x and y are both positive they're both in Quadrant 1.
b)
(x + 1, y - 5)
Add 1 to 'x', subtract 5 from 'y':
(4 + 1, 2 - 5)
(5, -3)
x is positive and y is negative, that means this will be in Quadrant 4.
c)
Reflection Across y-axis:
(-x, y)
Multiply -1 to 'x':
(5 * -1, -3)
(-5, -3)
Both of these are negative, if both x and y are negative it's located in Quadrant 3.
Question #2:
No, that can't tessellate a plane. We can't cover up space so there are no overlaps or gaps.