Answer:
option-B
Step-by-step explanation:
we know that
Sum rule of logarithm:

which is same as
the log of a product (ab) is equal to the addition of log a nad log b
Subtraction rule of logarithm:

which is same as
the log of the quotient of a and b is equal to the log of a minus the log of b
Exponent rule of logarithm:

which is same as
the log of the quantity a raised to b is equal to the product of b and the log of a
so,
option-B is not correct
x over 5 becuase the top and bottom are both divisible by 8 so you do that.
Answer:
I'm not positive but I'm pretty sure its infinite
Step-by-step explanation:
idk
Answer:
Step-by-step explanation:
cos 43=cos (90-47)=sin 47
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x