X^2 + Y^2 = 4 This centers at origin, since h and k values are zero ( therefore nonexistent) and the radius is 2 so it goes through (-2,0)
When a shape is rotated, it must be rotated over a line.
<em>The square must be reflected over line </em>
<em>, for it to be mapped onto itself.</em>
<em />
<u>The points are given as:</u>
To map the square onto itself, it must be reflected over its diagonal
The diagonals of the square are: AC and BD
<u>Using AC, we have:</u>
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Start by calculating the slope (m)
So, we have:
The equation is then calculated as:
This gives:
Rewrite as:
So, the square must be reflected over line , for it to be mapped onto itself.
See attachment for square ABCD and its line of reflection.
Read more about reflections at:
brainly.com/question/1878272
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Monthly deposit= $100
Interest rate= 0.06/12= 0.005
Number of periods= 12*5= 60 months
<u>a)</u>
<u>To calculate the future value, we need to use the following formula:</u>
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.005^60) - 1]} / 0.005
FV= $6,977
b) <u>If the deposit is at the beginning of the month, the interest is compounded one more period</u>. We need to use the following formula:
FV= {A*[(1+i)^n-1]}/i + {[A*(1+i)^n]-A}
FV= 6,977 + {[100*(1.005^60)] - 100}
FV= 6,977 + 35
FV= $7,012
Answer:Use fraction
Put the number that u want to divide on the numerator and the number that divide the number on the demominator
