Answer:
y intercept = -2
x intercepts = -2,-1,1
Step-by-step explanation:
f(x) = x^3 + 2x^2 -x-2
Set this equation equal to zero to find the x intercepts.
Factoring by grouping
0 =x^3 -x +2x^2 -2
= x( x^2-1) +2(x^2-1)
Factoring out the (x^2-1)
0= (x^2-1) (x+2)
Factoring the first term using the difference of squares (a^2-b^2) = (a-b)(a+b)
0 = (x-1) (x+1) (x+2)
Using the zero product property
x-1 = 0 x+1 = 0 x+2 =0
x=1, x=-1 x=-2
The x intercepts are -2, -1, 1
To find the y intercepts, set x=0
y = x^3 + 2x^2 -x-2
y = 0 -2
y = -2
Answer:
The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter. It is denoted by P(X, Y). The circumcenter is also the centre of the circumcircle of that triangle and it can be either inside or outside the triangle.
Step-by-step explanation:
Steps to find the circumcenter of a triangle with vertices are:
Calculate the midpoint of given coordinates, i.e. midpoints of AB, AC, and BC
Calculate the slope of the particular line
By using the midpoint and the slope, find out the equation of the line (y-y1) = m (x-x1)
Find out the equation of the other line in a similar manner
Solve two bisector equations by finding out the intersection point
Calculated intersection point will be the circumcenter of the given triangle
Answer:
nonlinear
Step-by-step explanation:
I checked but I think it's right
<em>An </em><em>apothem</em><em> is a line from the center of a regular polygon at right angles to any of its sides.</em>
<u>For part A</u>,
We want to find area of pentagon (5 sided figure) given apothem is 1.38 in and side length as 2 inch.
If we look at the picture shown (attached), we can see that a triangle is formed. What is the area of this triangle?
square inches
<u><em>How many such triangles are there in a pentagon? 10. So we multiply 0.69 by 10 to get total area of pentagon.</em></u>
Area of Pentagon = 
square inches.
<u>For part B</u>,
We want to find area of hexagon (6 sided figure) given apothem is 1.73 in and side length as 2 inch.
If we look at the picture shown (attached), we can see that a triangle is formed. What is the area of this triangle?
square inches
<em><u>How many such triangles are there in a hexagon? 12. So we multiply 0.865 by 12 to get total area of hexagon.</u></em>
Area of Hexagon = 
square inches.
ANSWER:
Area of Pentagon is 6.9 square inches.
Area of Hexagon is 10.4 square inches.
