Prove:
The angle inscribed in a semicircle is a right angle.
The inscribed angle theorem states that the angle θ, inscribed in a circle is half the measure of the central angle of the circle. So, if the given is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle. <span />
Area of triangle is
A=b•h/2
A=(10x+5)(2x-5)/2
A=20x^2-50x+10x-25/2
A=20x^2-40x-25/2
A=2(10x^2-20x-12.5)/2
cancel 2 in numerator and denominator
A=10x^2-20x-12.5 in^2
Hope this helps
Answer: 5 and 764 over 999
5764 over 9999
5 and 764 over 99
5 and 999 over 764
Step-by-step explanation:
<u>Answer:</u>
Total number of result at two polling location in a page election is represented by expression 8r + 11.
<u>Solution:</u>
Given that a page election result can hold r result.
Number of result at one polling location = 5r + 15
Number of result at second polling location = 3r - 4
Need to write simplified expression for total number of results at two polling location.
<em>Total number of results at two polling location</em> = Number of result at one polling location + Number of result at second polling location
=> Total number of results at two polling location = (5r + 15) + (3r - 4) = 8r + 11
Hence total number of result at two polling location is represented by expression 8r + 11.
Answer:
The cubic regression that fits the points 
, 
, 
and 
is 
.
Step-by-step explanation:
A cubic polynomial is a polynomial that has the following form:
(1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
, 
, 
, 
- Coefficients, dimensionless.
We construct the following system of equations to determine the coefficients of the cubic regression:
(1)
(2)
(3)
(4)
The solution of the system of linear equations is:
, 
, 
, 
The cubic regression that fits the points , , and is .
