The equation of the line in this graph is y = 3/2x + 3.
Explanation:
In slope intercept form equations, the initial value is where everything begins. In this equation, that would be at the point (0,3). From there, because it is going up toward the right side, there is a positive slope. The formula for slope is rise over run, so to get our slope, we have to go up 3 units and over 2 units.
Answer:
The correct option is (c).
Step-by-step explanation:
The given expression is :
We need to use the associative property to make it easier.
The associative property for multiplication is as follows :
We have,
Hence, the correct option is (c).
So first, this is point slope form. The first step is to distribute.)
Then add 4 to both sides.
Then add 2x and it becomes
Answer:
7/8 of a gallon
Step-by-step explanation:
First find a common denominator for each of the values, in this case eighths. Next, add the total water used for the tomatoes and peppers (you'll get 7/8 gallons). Then, convert the 2 and a half gallons to eighths, getting 20/8 of a gallon. Next, subtract the 7/8 from the 20/8; getting 13/8. Since you need to find the amount of water used for the lettuce, subtract the last value from 3/4 gallons (or 6/8)
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- First find the area of the whole circle
The equation is :
πr^2
Substitute the radius in:
π(5)^2
Solve:
Area of full circle = 25π
(Note : leave this answer in terms of 'pi' so it is easier to handle
Next, find the area of the sector
The equation for this is:
(angle/360) x πr^2
Substitute the values in:
(80/360) x π(5)^2
Solve :
Area of sector = (50/9)π
Now, find the area of the triangle:
1/2 absinC
Substitute the values in:
1/2(5)(5) x sin(80) = 12.31009691
Subtract this answer from the area of the sector
Answer = 5.14319607
Subtract this from the area of the whole circle
Answer = 73.39662073
To the nearest tenth, that would be 73.4 cm^2
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