Answer:
and 
Step-by-step explanation:
The question is incomplete as the attachment to solve segment DE is missing. However, see attached for complete question.
Given
Required
Find x
Length of DE
To find x, we need to first simplify the given equation
Multiply both sides by 
Subtract 15 from both sides
Divide both sides by 10
From the attached;
Substitute 6.6 for x
Hence and
Answer: (3, -4)
Step-by-step explanation:
x = 3
y = -4
To simplify into 1 fraction, remember, we must make the denominator the same
x/ (x-1 ) - 1/ (2-2x)
= -x/ -(1-x) - 1/(2-2x) [see the similarity now? ] [whatever we multiply for the denominator, as long as we multiply to the numerator, it will be ok]
= -2x / -(2-2x) + 1/-(2-2x)
= (-2x+1 )/ -(2-2x)
=(2x-1)/(2-2x)
Answer:
Tn=12n(n+1)
Step-by-step explanation:
Explanation:
These are the triangular numbers - each term in the sequence being the sum of the first n positive integers:
T1=1=1
T2=3=1+2
T3=6=1+2+3
etc.
Notice that:
2Tn=(0)+1+(0)+2+...+(n−1)+(0)+n
2Tn+(0)+n+(n−1)+...+(0)+2+(0)+1
2Tn=(n+1)+(n+1)+...+(n+1)+(n+1)
2Tn=n(n+1)
So:
Tn=12n(n+1)
Hey there.
For 5:
We already have been given all the information we need to solve for this- it's just really extensive, so bare with me here.
With our initial deposit of $150 in January, we give 10% of the current value in the following month. This means 10% of 150 will be deposited into the checking account in February, and so on for the rest. I will work this out.
10% of 150 = 15; we deposit $15 into the account in February.
10% of 165 = 16.5; we deposit $16.5 into the account in March.
10% of 181.5 = 18.15; we deposit $18.15 into the account in April.
10% of 199.65 = 19.965; we deposit $19.96 in May (as we don't have an economical value worth a thousandth of a dollar in this problem).
10% of 219.61 = 21.961; we deposit $21.96 in June.
10% of 241.57 = 24.157; we deposit $24.15 in July.
10% of 265.72 = 26.572; we deposit $26.57 in August.
Our total value is $292.29, although if we added the thousandths, we'd have $292.31; therefore your answer is going to be D.) $292.31
I hope this helps!
