Answer:
x = ±2
Step-by-step explanation:
A equation is given to us , which is ,

From <u>properties </u><u>of </u><u>logarithm </u>we know that ,

Applying this to LHS , we have ;

Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;

Put square root on both sides,

Simplify ,

This is the required answer.
Step-by-step explanation:
gradient = slope or several other words.
it describes how strongly a line (or tangent to a bent curve) is going up or down or ... if it is changing at all.
it is represented by the ratio
(y coordinate change / x coordinate change)
when going from one point on the line to another.
in our case, when going from A to B we have
x changes by -2k (from 3k to k).
y changes by -11 (from 8 to -3).
so, the gradient or slope is
-11/-2k = 3
11/2k = 3
11 = 3×2k = 6k
k = 11/6
A = (33/6, 8) = (11/2, 8)
B = (11/6, -3)

The asymptotes are where the graph is undefined. Since: tan(x) =sin(x)/cos(x)
It is where cos(4x-π) = 0
cos(4x-π) = 0 when the inside is -π/2 , π/2 , 3π/2
4x - π = π/2
4x = π/2 + π
4x = 3π/2
x = 3π/8
4x - π = 3π/2
4x = 3π/2 + π
4x = 5π/2
x = 5π/8
This ones outside the interval (5π/8 > π/2) , try -π/2
4x - π = -π/2
4x = -π/2 + π
4x = π/2
x = π/8
Asymptotes are π/8 and 3π/8
Answer:
Simple Division. See explanation.
Step-by-step explanation:
Simply put, 5 1/3 divided by 2 2/7 is 2.333333 (continues on forever)
This in fraction form however is 2 1/3.
Final answer: 2 1/3 in fraction form, and 2.333 in decimal.
Answer:
five and forty-six hundredths
Step-by-step explanation: