X = 4 ; x = 3 + i ; x = 3 - i
(If you get a zero that is adding or subtracting, you always need to write it twice but change the sign do they cancel out)
f(x) = (x-4)(x-3-i)(x-3+i)
Distributing the last two parenthesis first is always the best way to start off
(x-3-i)(x-3+i) has (x-3) in common so it can be separated to
(x-3)^2 + (-i)(+i)
(x^2 - 6x + 9) ; (-i)(+i) is always +1
(x^2 - 6x + 9) + 1
(x^2 - 6x + 10)
Now multiply this with (x-4)
x^3 - 6x^2 + 10x
- 4x^2 + 24x - 40
x^3 - 10x^2 + 34x - 40 = f(x)
The product that is undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.
<h3>What is the matrix about?</h3>
Looking at the product of matrix, note that to multiply the two matrix, the column of the first matrix needs to have the same or equal to the row of the 2nd matrix.
And in this case (propensity), it is not satisfied by the first option because:
C = 3 x 1 and
O= 2 x 1 matrix
In this case CD is therefore undefined.
So we can say that The product that is undefined is known a CD, where C is a 3 x 1 matrix and D is a 1 x 2 matrix.
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Pemdas
exponent first
remember that x^0=1
basically anything to the 0 poiwer is 1
so
10^1=10
10^0=1
now we have 10+1=11
The answer is 48π units³ or 150.72 units³.
To find the volume of the cone, use the formula : <u>1/3 × πr²h</u>
We are given that r = 6 and h = 4.
Solving :
- V = 1/3 × π × 6² × 4
- V = 12 × 4 × π
- V = 48π units³ (in terms of π)
- V = 150.72 units³
