Add 3 to both sides so that the equation becomes 2x^2 + 7x - 6 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √(7^2 - 4(2)(-6)) ] / ( 2(2) )
x = [ -7 ± √(49 - (-48) ) ] / ( 4 )
x = [ -7 ± √(97) ] / ( 4)
x = [ -7 ± sqrt(97) ] / ( 4 )
x = -7/4 ± sqrt(97)/4
The answers are -7/4 + sqrt(97)/4 and -7/4 - sqrt(97)/4.
The vertex
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To find the inverse of a function, firt we let
Now we switch x and y and solve for y .
Adding 25 to both sides
Now we need to get rid of square and for that we take square root on both sides. That is
Therefore, inverse is
Answer:
One of the cylinders is short and wide, while the other is tall and thin.
Step-by-step explanation:
Okay, first we need to calculate the area of the rectangle.
Area of Rectangle- 16 x 6 = 96
Next, we need to calculate the area of the semicircles.
Formula: Radius x Radius x pi (3.14) = Area of circle
Since we know that the diameter is 6 we can figure out the radius.
The radius is half of the diameter. So our radius is 3.
3 x 3 x 3.14 = 28.26
Since it's a semi circle we now need to divide by 2.
28.26 divided by 2 = 14.13
Then, we add.
Area of rectangle
+
Area of 2 semi circles
96 + 14.13 + 14.13 = Total Area of The Figure
So our answer is 124.26
