Answer:
A = 25
Step-by-step explanation:
Base = |-2-(-7)| = |-2+7| = 5
equation of the line that includes the base
x = 6 (because it is parallel to y axis)
the height passes to the point (-4,-4) and must be perpendicular to the base
the equation of the line of the base hasn’t the slope expressed, so the line of the height has a slope equal to 0
so the equation of the line is y= -4
the point (6,-4) is where the two lines intercept and it is the point where the height hit the base
height = |-4-6| = 10
A = (base x height)/2 = (5x10)/2 = 25
Answer:
The slope is negative. The relationship is proportional
Step-by-step explanation:
6/100 = 0.06
0.06 x 5 = 0.3
$0.30
Answer:
194332.125 is the amount of interest
Step-by-step explanation:
Answer: the width of the uniform path is 9 meters.
Step-by-step explanation:
Let x represent the width of the uniform path.
A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. It means that the combined length of the pool and the uniform path is (18 + 2x) meters and the combined width of the pool and the uniform path is (22 + 2x) meters.
If the area of the pool and the path combined is 1440 square meters, it means that
(18 + 2x)(22 + 2x) = 1440
396 + 36x + 44x + 4x² = 1440
4x² + 80x + 396 - 1440 = 0
4x² + 80x - 1044 = 0
Dividing both sides of the equation by 4, it becomes
x² + 20x - 261 = 0
x² + 29x - 9x - 261 = 0
x(x + 29) - 9(x + 29) = 0
x - 9 = 0 or x + 29 = 0
x = 9 or x = 29
Since the width cannot be negative, then x = 9 meters
