Answer:
p=3 , q=1 , r=2
Step-by-step explanation:
1176=2*2*2*3*7*7
1176=(2^3)*(3^1)*(7^2)
given that 1176 = (2^p)*(3^q)*(7^r)
Comparing Equation 1 & 2
we get p=3 , q=1, r=2
Answer:
(A)![[x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}]](https://tex.z-dn.net/?f=%5Bx-%282%2Bi%29%5D%5Bx-%282-i%29%5D%5Bx-%5Csqrt%7B2%7D%5D%5Bx%2B%5Csqrt%7B2%7D%5D)
Step-by-step explanation:
A polynomial has a leading coefficient of 1 and the following factors with multiplicity 1:
We apply the following to find the factored form of the polynomial.
- If a complex number is a root of a polynomial with real coefficients, its complex conjugate is also a root of that polynomial.
- If the polynomial has an irrational root
, where a and b are rational and b is not a perfect square, then it has also a conjugate root 
.
Therefore, the factored form of the polynomial is:
Answer:
B. 196.5
Step-by-step explanation:
First lets fine the semi circle's area.
The area of an circle is πr², so in order to find half of a circle, simply divide the answer by 2.
The diameter of the circle is 16, and the radius is half of 16, and which the radius will be 8. Now simply plug in 8 into the formula, and substitute π with 3.14
(3.14)(8)²=200.96 and half of that is 100.48
The area of the semi-circle is 100.48, and now it's time to find the area of the triangle.
The formula for area of an triangle is A=1/2bh
We can see that the base is 16 and height is 12, and now plug it in.
A=1/2(16)(12)= 96.
The area of the triangle is 96 and the area of the semi-circle is 100.48, when they are added, it is 196.48. When it is rounded, the answer is 196.5. And so the answer is B.
8/12 and 9/12. Respectively.
