Hello :
let : z = 4-3ii z' = -2+7i
the distance between the points 4-3i and -2+7i is : <span>|z - z' |
</span> |z - z' | = |4-3i+2-7i| = |6-10i | =√(6²+(-10)²) =√136
I can answer the slopes
Answer:
1. would have a slope of 2
2. would have a slope of -1.66
3.would have a slope of 0
4. would have a slope of -13
Step-by-step explanation:
(Y2 - Y1) / (X2 -X1)
1. (9-5) / (4-2) = 4 / 2 =2
2. (-5-5) / (3 - -3) = -10 / 6 = 1.66
3. (2 - 2) / (5 - -4) = 0 / 9 = 0
4. (-7 - 6) / (3 - 3) = -13 / 0 = -13
Answer:
a) 3x - 11
b) 10x + 4
Step-by-step explanation:
a) The negative sign before the (x+5) means to subtract those values. Reverse the signs. Then combine like terms:
4x –6 –x –5. 4x–x–6–5
3x –11
b) Put all the x terms together.
Put all the integers together.
Add. Adding a negative is the same as subtracting.
4x+x+5x = 10x
+6-2 = 4
Combine them:
10x + 4
Answer:
Send q picture of the graphs so I can help
Step-by-step explanation:
need pictures of graph
By applying the formulas of present and future values of annuity we can solve this problem. In this mortgage problem, first we have to find loan amount after the down payment. It is 699,000 - 699,000 * 0.2 = 559,200$. We have to set it as PV (Present Value) of annuity. Using the PV formula ![PV = A \frac{[1- \frac{1}{(1+r)^{N}}]}{r}](https://tex.z-dn.net/?f=%20PV%20%3D%20A%20%5Cfrac%7B%5B1-%20%5Cfrac%7B1%7D%7B%281%2Br%29%5E%7BN%7D%7D%5D%7D%7Br%7D%20)
, we first find A, which is an annual payment. Exact calculation with mortgage calculator gives us A = 33,866.56$. After finding it, plugging this number into FV (Future Value) formula ![FV = A\frac{[(1+r)^{N}-1]}{r}](https://tex.z-dn.net/?f=%20FV%20%3D%20A%5Cfrac%7B%5B%281%2Br%29%5E%7BN%7D-1%5D%7D%7Br%7D%20%20%20)
, we find the value of the future value and it is 1,185,329.66$. And the total financial charge is 1,185,329.66 - 559,200 = 626,129.66$
