First observe that x=-1 is a root of the equation. Use long division to divide x^3-3x^2+x+5 by x+1, we find that (x^3-3x^2+x+5)/(x+1)=(x^2-4x+5). Now we need to find the roots of x^2-4x+5.
x^2-4x+5=0,
x^2-4x+4=-1,
(x-2)^2=i,
x-2=i or -1,
x=2+i or 2-i.
The three roots are 2+i, 2-i, -1.
The volume of a cylinder is given by the multiplication of the area of the base by the height of the cylinder. π×r²(area of the base) × h (height of the cylinder) ⇔

×

cm²×35cm=12127.5cm³
(r is half of the diameter. Because we are doing the square of r, the cm also are squared.)
Rounding to the nearest tenth is to round the result so that it maintains a number after the point - the result is 12127.5cm³
Statement 3 and 4 are true as Figures 1 and 2 are not congruent and Figures 1 and 3 are not congruent
<h3>What are Congruent Figures ?</h3>
The figures that are similar in shape and size or can be mapped into one another , such figures are called Congruent Figures.
The graph has been plotted on the basis of given data.
The plot can be seen in the graph attached with the answer.
The statements that are true according to the given data is
Statement 3 and 4 are true as
Figures 1 and 2 are not congruent because figure 1 cannot be mapped onto figure 2 using a sequence of rigid transformations.
Figures 1 and 3 are not congruent because figure 1 cannot be mapped onto figure 3 using a sequence of rigid transformations.
To know more about Congruent Figures
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Answer:
The rigth answer is, ( 5/2 , -1 )
Step-by-step explanation:
To find the midpoint we use the respective formula:
m = ( x1 + x2 / 2 , y1 + y2 / 2 )
We replace:
m = ( 1 + 4/2 , 3 + (- 5) / 2 )
We solve:
m = ( 5/2 , -1 )
Answer:
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