Answer:
6x^2 - 4y^2 + 2x^2 + 6xy
Step-by-step explanation:
Each of the adjacent sides of the rectangle has a congruent, opposite sides. The perimeter is the sum of the lengths of the 4 sides.
P = 2(3x^2 - 2y^2) + 2(x^2 + 3xy)
P = 6x^2 - 4y^2 + 2x^2 + 6xy
Answer:
The radius of the silo is 5.788 feet.
Step-by-step explanation:
Since the silo has the shape of a cylinder, then;
Volume of the silo = Volume of a cylinder = 
h
Where: r is the radius of the silo, and h is the height.
Given that: volume = 2106 cubic feet, and height = 20 feet.
Then,
2106 = 
x x 20
2106 = 
2106 x 7 = 440
14742 = 440
= 
= 33.5045
⇒ r = 
= 5.78831
r = 5.788 feet
The radius of the silo is 5.788 feet.
Answer:
First Graph:
Slope = - 4/5
Point-Slope Form: y - 3 = - 4/5 (x + 2)
Point: (-2, 3)
Second graph:
Slope = 4
Point-Slope Form: y + 6 = 4 (x + 1)
Point: (-1, -6)
Step-by-step explanation:
First graph has two points: (-2, 3) & (8, -5)
Use the two points to find the slope using the Slope-Formula
Slope-Formula: y2 - y1/x2 - x1
m = slope
m = - 5 - 3/8 - - 2
m = - 8/10
m = - 4/5
The slope of the line will be - 4/5
Now for Point-Slope Form, we’ll need to use the two points with the slope to identify the Point-Slope Form of the graph
Two points: (-2, 3) & (8, -5)
Slope: - 4/5
Point-Slope Formula: y - y1 = m (x - x1)
Point-Slope Form: y - 3 = - 4/5 (x + 2)
The point will be: (-2, 3)
LCM= 40
factors of 5- 5, 10, 15, 20, 25, 30, 35, 40*
factors of 8- 8, 16, 24, 32, 40*
Answer:
The answer is a "Weather occurs because the climate is costantly changing"
