Answer:
517.5 mi^2
Step-by-step explanation:
Divide shapes into 3 shapes ( 1 triangle and 2 rectangles
b = 17
h = 25
Area of triangle = Bh
A = (17)(25)
A = 212.5 mi^2
Area of 1st rectangle = lw = 17(9) = 153 mi^2
Area of 2nd rectangle = lw = 19(8) = 152 mi^2
Area of figure = 212.5 +153 + 152 = 517.5 mi^2
Answer:
y=-4, x=1
Step-by-step explanation:
2x-y=6 x+y=-3
2(-3-y)-y=6 x=-3-y
-6-2y-y=6 x=-3+4
-3y=12 x=1
y=-4
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Answer: True</h3>
The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be
(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6
This has the rational roots x = 1, x = 2, x = 3.
However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.
In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.
Answer:
Step-by-step explanation:
The standard form of equation of a circle is expressed as;
x^2+y^2+2gx+2fy+c = 0
The centre is at (-g, -f)
Given the equation'
9x²+9y²+18x-12+10=0
Divide through by 9
9x²/9+9y²/9+18x/9-12y/9+10/9=0
x^2+y^2+2x-4/3 y + 10/9 = 0
Compare
2gx = 2x
g = 1
2fy = -4/3 y
2f = -4/3
f = -4/6
f = -2/3
The centre is (-(-2/3), -1) = (2/3, -1)
for the radius
r = √f²+g²-c
r =√(-2/3)²+1²-10
r =√4/9 - 9
r = √(4-81)/9
r = √-77/9
A semi-circle measures 180 degrees!
