We have to determine the complete factored form of the given polynomial
.
Let x= -1 in the given polynomial.
So, 
So, by factor theorem
(x+1) is a factor of the given polynomial.
So, dividing the given polynomial by (x+1), we get quotient as 
.
So, 
= (x+1).
= 
=![(x+1)[ 2x(3x-5)-3(3x-5)]](https://tex.z-dn.net/?f=%28x%2B1%29%5B%202x%283x-5%29-3%283x-5%29%5D)
= 
is the completely factored form of the given polynomial.
Option D is the correct answer.
The surface area of the sphere is given by the equation
,
where A is the surface area and r is the radius.
We want to find the volume of the sphere, which is given by the equation
,
where V is the volume and r is the radius.
Looking at these equations, we see that they both involve the sphere's radius. If we know what r is, we can calculate the volume.
We know that the sphere's surface area is 
. Plugging that in for A in the surface area equation, we get
, then divide by 
, then divide by 4
, then take the square root of both sides
So the radius of the sphere is 3. Plugging this into the volume equation,
, simplify terms
, multiply 
by 27
So the volume of the sphere is 
.
Answer:
f1: 0.440, f2: 0.931, f3: 1.519
Step-by-step explanation:
To solve the system of equations we need to use the inverse of matrix A, as follows:
A x F = C
A^-1 x A x F = A^-1 x C
I x F = A^-1 x C
where I is the identity matrix.
The inverse of A is:
1.450 -0.392 -0.090
A^-1 = -0.074 -0.022 0.1536
-0.406 0.7122 -0.060
(computed with Excel)
The multiplication between the inverse of A and C gives:
0.440
A^-1 x C = 0.931
1.519
(computed with Excel)
1. Line a and line b
2. Segment VX and segment YZ
3. Ray WY and Ray WZ
4. Angle YWV and Angle XWZ
5. Plane D and Plane VWX
Answer:
the answer is to fold the hexagon along a line that bisects two vertex angles.
Step-by-step explanation:
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