The answers for the question shown above are the option A, the option B and the option C, which are:
A.log5(15625)
<span> B.log5(5^6)
C.6
The explanation is shown below:
By applying the logarithms properties, you have:
A. </span><span>log5(125)+log5(125)=log5(125)(125)=log5(15625)
B. </span>log5(125)+log5(125)=log5(15625)=log5(5^6)
C. og5(125)+log5(125)=log5(15625)=log5(5^6)=6log5(5)=6
Answer= -4 & -4
The first step of this would be to write all the factor pairs of 16
(1,16)(2,8)(4,4)(-1,-16)(-2,-8)(-4,-4)
Of these, only one pair has a sum of -8. The (-4,-4) pair. So the answer is -4&-4
Answer:
Factored form is
f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))
Step-by-step explanation:
Given that
f(x)=x3−7x2+2x+4
To solve for x we factorise the right side
f(x)=x3−7x2+2x+4
Let us substitute x for various values to check whether remainder is zero.
i.e. f(1) = 1-7+2+4 =0
Hence x-1 is a factor
Do synthetic division to find the quotient
1 1 -7 2 4
1 -6 -4
----------------------
1 -6 -4 0
i.e. we get remainder 0 and quotient as
x^2-6x-4
Use completion of squares method to solve this
x^2-6x-4
= (x-3)^2+5=0
x-3= ±√(-5)
Or x=1,3+√(-5,) 3-√(-5,)
Are the roots
Factored form is
f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))
Answer:
ST/XY
Step-by-step explanation:
(RT/RX)/(RS/RY)= ST/XY
if the shapes are equal and the same then the ratio are equal
if RT is corresponds to RX and RS is corresponds to RY then TS corresponds to TS
Answer:
Width of the rectangle = 13.16 ft
Length of the rectangle = 34.33 ft
Step-by-step explanation:
Let the width of the rectangle = k ft
So, the length of the rectangle = (2k + 8) ft
Perimeter of the rectangle = 95 ft
PERIMETER OF THE RECTANGLE = 2(LENGTH +WIDTH)
⇒ 2( k+ (2k+ 8)) = 95
or, 2( 3k + 8) = 95 ⇒ 6k + 16 = 95
or, 6k = 95 - 16 = 79
⇒ k = 79/ 6 = 13.16
So, the Width of the rectangle = k = 13.16 ft
Now, Length of the rectangle = 2(13.16)+ 8 = 34.33 ft
