Answer: The value of x is 13 cm.
Explanation:
It is given that the length and width of the rectangle are 12 cm and 9 cm.
Use pythagoras to find the value of the diagonal.
It is given that the diagonal is labeled as 2x-11.
Divide both side by 2.
Therefore, x = 13cm.
Multiplicity of a polynomial means how many times a particular number is a zero for a given polynomial.
In the given polynomial :
The roots of the equation can be found by taking the factor =0.
x+2=0 or x=-2
x-4=0
or x=4
x+1=0
or x=-1
The roots of the polynomial are -2,4,-1.
The powers of the root denotes the multiplicity of the polynomial.
The root -2 occurs 2 times ,4 occurs once ,-1 occurs 3 times.
So we say :–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3.
Option A is the right option.
The bases of the logarithms on either side of the equation are the same, which means that their arguments must be the same:
Put another way, we can write both sides as powers of 4, then simplify and eliminate the logarithms:
Then solve for :
Then we just have to check if this solution is valid. On the left side, we have
but we can't take logarithms of negative numbers, so there is no solution, as long as we're using the real-valued logarithm, anyway; is a solution if we use the complex-valued version.