<h3>
Answer: A) intersecting</h3>
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Work Shown:
Solve the first equation for y
x+y = ab
y = -x+ab
y = -1x + ab
slope = -1, y intercept = ab
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Solve for y in the second equation
bx - y = a
bx - y - a = 0
bx-a = y
y = bx - a
Slope = b, y intercept = -a
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The first equation has a slope of -1. The second equation has a slope of b.
Since b cannot equal -1, this means the two equations have different slopes. It is impossible for these two lines to be parallel, because parallel lines have equal slopes. The different slope values tell us the lines cross at exactly one point.
Answer: 37.05m^2
Step-by-step explanation:
Area of shaded region = Area of rectangle - non shaded region (the middle shapes)
Rectangle = 13.7 x 14.4 = 197.28m^2
Left half circle: 3.14 x 6.3^2 = 124.6266m^2
Right half circle: 3.14 x 2.8^2 = 24.6176m^2
Square: 3.3^2 = 10.98 m^2
197.28 - ( 124.63 + 24.62 +10.98 ) = 37.05 m^2
The complete factor from:
2x3 + 6x2 + 10x + 30
2x(x+3) + 10(x+3)
(x+3)(2x+10)
2(x+5)(x+3)
hope this help
Answer:
Length of side AB = 5
Step-by-step explanation:
A regular polygon is one in which all angles are equal and all the sides have the same length.
Now, it means that;
AB = BC = CD = DE = AE
We are told that BC is represented by 3x - 4 while DE is represented by the expression 4x - 9.
Thus, from equal length of sides of a regular polygon, we have;
3x - 4 = 4x - 9
4x - 3x = 9 - 4
x = 5
Thus, length of BC = 3(5) - 4 = 15 - 4 = 11
Therefore, Length of AB = 5
