Answer:
3. The x-coordinate of point P is 6. Since P(6,1).
4. Area of rectangle is 32 square units.
Step-by-step explanation:
3. The directed segment AB on the Cartesian plane shows that it has a length of 6 units. Since point P partitions the segment in a given ratio 2:1, then its coordinate would be the one that divides segment AB into 4:2. This coordinate is (6, 1). Thus, the x-coordinate of point P is 6.
4. The appropriate sketch of the rectangle in a Cartesian plane shows that;
AB = DC = 4 units
AD = BC = 8 units
Area of rectangle = length x width
= 8 x 4
= 32 square units
The area of the rectangle is 32 square units.
The miles previously covered by algae is 6 miles
let m represent the miles of the coastline covered by algae before the clean-up
fraction of miles covered after the clean-up = 
x m = 
miles covered after the clean-up = 2 miles
= 2 miles
to determine the value of m, make m the subject of the formula.
To do this, take the following step :
multiply both sides of the equation by 2
m = 2 miles x 3
m = 6 miles
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Answer:
-6
Step-by-step explanation:
2n can be the smallest integer, and 2n + 18 will be the largest integer.
The sum of this, divided by two, will result in the average/mean.
(2n + 2n + 18)/2 = 3
Multiply each side by 2:
(2n + 2n + 18)/2 ⋅ 2 = 3 ⋅ 2
2n + 2n + 18 = 6
Combine the like terms:
4n + 18 = 6
Subtract 18 from both sides:
4n + 18 - 18 = 6 - 18
4n = -12
Divide each side by 4:
4n/4 = -12/4
n = -3
Since we decided to go by 2n:
2n = 2(-3) = <u>-6</u>
Answer:
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Step-by-step explanation:
