First, coordinate Q is (-5,2) and Q' is (6,2). First, we know that this is a horizontal reflection becuase only the x-values change. This means that the line of reflection will be x=some value. I think the best way to go about this is to find the midpoint of Q and Q' using the formula: M=(x1+x2/2,y1+y2/2)
Q is the first point and Q' is the second point
M=(-5+6/2,2+2/2)
M=(1/2,4/2)
M=(1/2,2)
Since we know the y-values of Q, Q', and the midpoints are all 2, then the line of reflection would be x=1/2
Hope this helps
Answer:
Cute
Step-by-step explanation:
The first step to determining the answer to this item is to calculate for the effective interest using the equation,
ieff = (1 + i/m)^m - 1
where ieff is the effective interest, i is the given interest and m is the number of compounding period.
Part A: m in this item is equal to 12.
Substituting,
ieff = (1 + 0.10/12)^12 - 1 = 0.1047
The amount of money after n years is calculated through the equation,
An = A(1 + ieff)^n
If An/A = 2 then,
2 = (1 + 0.1047)^n
The value of n is 6.96 years
Part B: For the continuously compounding,
An = Ae^(rt)
An/A = 2 = e^(0.10t)
The value of t is equal to 6.93 years.
Hence, the answers:
<em>Part A: 6.96 years</em>
<em>Part B: 6.93 years</em>
Answer:
speeds of Juan and Tiauna are 0.1984 m/s and 0.1851 m/s respectively
Step-by-step explanation:
Given: Juan's time in the race was 5.04 seconds and Tiauna's was 5.40 seconds
Let speed of Juan and Tiana's be J m/s and T m/s respectively
In the race both Juan and Tiauna will cover equal distance. Therefore, the speed and time would have reciprocal relationship
Speed ∝ 1/Time
This means J = 1/5.04 m/s
J= 0.1984 m/
and, T = 1/5.40 m/s
T= 0.1851 m/s
Therefore, speeds of Juan and Tiauna are 0.1984 m/s and 0.1851 m/s respectively
Answer:
33 square units
Step-by-step explanation:
4 triangles - 1/2 * 3 * 4 = 24
base is 3 * 3 = 9
24 + 9 = 33
