Answer:
Step-by-step explanation:
Step One: Convert
49/16x^2-2=-0.05x+4
Step Two: Multiply Both Sides by 80
245x^2-160=-4x+320
Step Three: Move everything to the left
245x^2+4x-480=0
Final Step: Quadratic Formula
How do you find the area of a polygon in a coordinate plane
1 answer:
Step-by-step explanation:
The way that I would do it, would be to use the point distance formula to find the length of each side.
Distance formula:
After you use this formula to find the length of all sides of the polygon, you would need to use the appropriate area formula to find the area of the polygon.
Area of Triangle: A= 1/2 base times height
Area of Rectangle: A= length times width
Area of Square: A= s^2 where s is the length of the side
Area of Parallelogram: A= base times height
Area of Trapezoid: A= 1/2 times height (base 1 + base 2) where base 1 and base 2 are the parallel sides
Area of Kite or Rhombus: A= 1/2 (diagonal 1 times diagonal 2)
Area of Regular Polygons: A= 1/2 (apothem times perimeter)
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Answer:
A. (1, -2)
B. the lines intersect at the solution point: (1, -2).
Step-by-step explanation:
A. The equations can be solve by substitution by using the y-expression provided by one of them to substitute for y in the other.
This gives ...
3x -5 = 6x -8
Adding 8-3x to both sides, we get ...
3 = 3x
Dividing both sides by 3 gives ...
1 = x
Substituting this value into the first equation, we can find y:
y = 3(1) -5 = -2
The solution is (x, y) = (1, -2).
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B. The lines intersect at the solution point, the point that satisfies both equations simultaneously. That point is (1, -2).
