Answer:
Step-by-step explanation:
The first step you want to do is get one variable by itself. We are going to start by isolating y by itself.
-3x + 9y = -27
9y = 3x - 27
y = 1/3x - 3
By isolating y by itself, you now have a function written in slope-intercept form. To graph this function, you can draw a point at (0,-3), then use rise/run to go up 1 unit and over 3 units to the next point (3,-2). You can then draw a line based on this information.
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
Answer: 392.7
Step-by-step explanation:
A=πr2=π·52≈78.53982cm² (or 78.54)
78.54 x 5
Answer:
see below
Step-by-step explanation:
Part A
Since the lines goes through the point (0,0) the graph is proportional. We can find the rate of change by take the price of corn and dividing by the number of bushels
24/3 = 8 dollars/ bushel
Part B
Previous Year Number of Bushels Price of Corn (dollars)
3 21
6 42
9 63
12 84
We can find the rate of change for the previous year by using the slope formula
m = (y2-y1)/(x2-x1)
m = (84-63)/(12-9)
=21 / 3
= 7
The previous year was 7 dollars per bushel
The increase was 8-7 = 1 dollar per bushel
Answer:
334.4 m²
Step-by-step explanation:
The formula for the area of a sector is given as:
1/2 × r² × θ
Where θ = Central angle
Area of a Circle = 700 m²
The formula for the area of a circle = πr²
r = Radius of a circle
r² = Area / π
r = √Area / π
r = √700/π
r = 14.927053304 m
Approximately, r = 14.93 m
Therefore, the area of the sector
= 1/2 × r² × θ
= 1/2 × 14.93² × 3 rad
= 334.35735 m²
Approximately, Area of the sector = 334.4 m²
