Answer:
P(x) = x^4 -16x^3 +76x^2 -72x -100
Step-by-step explanation:
The two roots 1-√3 and 1+√3 give rise to the quadratic factor ...
... (x -(1-√3))(x -(1+√3)) = (x-1)^2 -(√3)^2 = x^2 -2x -2
The complex root 7-i has a conjugate that is also a root. These two roots give rise to the quadratic factor ...
... (x -(7 -i))(x -(7 +i)) = (x-7)^2 -(i)^2 = x^2 -14x +50
The product of these two quadratic factors is ...
... P(x) = (x^2 -2x -2)(x^2 -14x +50) = x^4 +x^3(-14 -2) +x^2(50 +28 -2) +x(-100+28) -100
... P(x) = x^4 -16x^3 +76x^2 -72x -100
Step-by-step explanation:
The ratio of the two shorter legs of the top triangle is
The bottom triangle has the following ratio:
Since their ratios are the same, this means that the two triangles are similar.
Shane and Karen want to measure the length of a soccer field. Length can be measured in different units such as cm, m ,km , yards etc. The question is asking us to select between two units cm or meters which will be more appropriate to measure the field.
To measure the field a larger unit is required. Meter is a bigger unit than centimeter.Centimeter is not the correct unit to measure the length of soccer field.
Shane and Karen should use meters to measure the soccer field.
Im not smart im not that sure of my answer but 23.3
