9514 1404 393
Answer:
f(x) = x³ -5x² +2x +8
Step-by-step explanation:
If the function has a zero of p, then it has a factor of (x-p). The polynomial of least degree will only have factors corresponding to the given zeros:
f(x) = (x -(-1))(x -2)(x -4)
= (x +1)(x -2)(x -4)
= (x² -x -2)(x -4)
f(x) = x³ -5x² +2x +8
Given:
Area of a sector = 64 m²
The central angle is
.
To find:
The radius or the value of r.
Solution:
Area of a sector is:

Where, r is the radius of the circle and
is the central angle of the sector in radian.
Putting
, we get




Taking square root on both sides, we get


Therefore, the value of r is
m.
The answer to the problem is as follows:
x = sin(t/2)
<span>y = cos(t/2) </span>
<span>Square both equations and add to eliminate the parameter t: </span>
<span>x^2 + y^2 = sin^2(t/2) + cos^2(t/2) = 1 </span>
<span>The final step is translating the original parameter limits into limits on x and y. Over the -Pi to +Pi range of t, x varies from -1 to +1, whereas y varies from 0 to 1. Thus we have the semicircle in quadrants I and II: y >= 0.</span>
Answer:
Answer to fourth part is :
Angle ABC= Angle DBC
So for fifth part reason answer is ASA congruency.
Step-by-step explanation:
Here we are given that CB bisects angle ABD and angle ACD.
So we have ,
Angle ABC= Angle DBC
Answer to fourth part is :
Angle ABC= Angle DBC
Now here we have two angles and one side equal in two triangles.
So we can say that ASA congruency fits in the best here.
So for fifth part reason answer is ASA congruency.
Answer:

So then the difference between the two proportions is 0.045 and if we convert this into % we got

Step-by-step explanation:
For this case we can define the following notation:
represent the unemployment rate for high school graduates with no college degree
represent the unemployment rate for college graduates with a bachelor's degree
And for this case we need to find the difference in proportions of those unemployed between these two groups, we want to find:

From the info given we have 

And the difference:

So then the difference between the two proportions is 0.045 and if we convert this into % we got
