Answer: The answer is given below.
Step-by-step explanation: We are given an equality involving logarithm and we are to show the implication of L.H.S. to R.H.S.
We will be using the following two properties of logarithm:
The proof is as follows:
Hence proved.
Answer:
<em>it's either A or B hope I helped a little</em>
Answer: Length = 24; width =4
Step-by-step explanation
Since the ratio of the length to width is 6:1
Let the length be represented as 6x
And the width be = x
Such that that the Perimeter of the rectangle which is
Perimeter = 2(length + width) becomes
56 = 2(6x + x)
56/2 = 6x+x
28 = 7x
x = 4
Width = 4
Length = 6x= 6 x 4 = 24
Answer:6.928
Step-by-step explanation: formula A=√ 3*(side^2/4)
Answer:
5. x = -1
6. x = 2
Step-by-step explanation:
5. AB = 5
BC = 2x + 6
AC = x + 10
AB + BC = AC (segment addition postulate)
5 + 2x + 6 = x + 10 (substitution)
Collect like terms
5 + 6 + 2x = x + 10
11 + 2x = x + 10
2x - x = - 11 + 10
x = -1
6. AB = 9x + 7
BC = -3x + 20
AC = 39
AB + BC = AC (segment addition postulate)
(9x + 7) + (-3x + 20) = 39 (substitution)
Solve for x
9x + 7 - 3x + 20 = 39
Collect like terms
9x - 3x + 7 + 20 = 39
6x + 27 = 39
Subtract 27 from both sides
6x + 27 - 27 = 39 - 27
6x = 12
Divided both sides by 6
6x/6 = 12/6
x = 2