Answer:
a dilation by One-fourth and a translation
Step-by-step explanation:
For determining the sequence first we have to find out the scale factor which is shown below:
We can calculate the scale factor to obtain
Now as we know that the triangle XYZ and the triangle ABC are similar to each other but in the triangle XYZ is smaller in size and it is a shift to upward and right
Therefore the last option is correct
Answer:
1-4-3-2
Step-by-step explanation:
divide fractions to get decimals and make sure you list the greatest negative first or last depending on the problem.
Answer:
ln(108) = 3.58
Step-by-step explanation:
Data provided:
ln(2) ≈ 0.69
and
ln(3) ≈ 1.10
equation to be solved
ln(108)
now,
ln(108) = ln (2 × 54)
or
= ln( 2 × 2 × 27 )
or
= ln( 2 × 2 × 3 × 3 × 3 )
or
= ln( 2² × 3³ )
Now,
we have the property of log function as:
1) ln(AB) = ln(A) + ln(B)
and,
2) ln(xⁿ) = n × ln(x)
on applying the above properties , we get
ln( 2² × 3³ ) = ln(2²) + ln(3³) using property (1)
or
= 2ln(2) + 3ln(3) using property (2)
on substituting the values given in the question
we get
ln(108) = ( 2 × 0.69 ) + ( 2 × 1.10 )
= 1.38 + 2.20
= 3.58
Answer:
You can make either an x|y list or use desmos graphing calculator to help you.
Step-by-step explanation:
x|y list means you should pick a value like -2,-1,0,1,2 and plug it in for x and the value you get is the y and you can plot those points on the graph.
Answer:27
Step-by-step explanation:
3x3x3