Answer:
-12 - 10i
Step-by-step explanation:
We are subtracting 3 + 2i from -9 - 8i. Rewrite the left side as -3 - 2i and then ADD this result to -9 - 8i:
-9 - 8i
-3 -2i
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-12 - 10i
<h3>
Answer: 18</h3>
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Explanation:
2 cm on paper (or on screen) represents 3 meters in real life.
The backyard is 2 cm horizontally across on the screen, so it's 3 meters across in real life. This is the shorter dimension.
The longer dimension is 6 meters. We can think of it like this
2 cm : 3 meters
2*2 cm : 2*3 meters .... multiply both sides by 2
4 cm : 6 meters
The real backyard is 6 meters by 3 meters to give an area of 6*3 = 18 square meters.
Answer:
addition because it's in parentheses and following PEMDAS parentheses comes first so you do addition first.
I hope you find this helpful :D
If i were going by guesses i’d say y=x. sorry if i’m wrong.
Answer:
Step-by-step explanation:
a = -4/3
d= -1 +4/3 =1/3
last term = 4 1/3 = 13/3
nth term = a +(n-1)d
![\frac{-4}{3}+(n-1)*\frac{1}{3}=\frac{13}{3}\\\\(n-1)*\frac{1}{3}=\frac{13}{3}-\frac{-4}{3}\\\\(n-1)*\frac{1}{3}=\frac{13+4}{3}\\\\(n-1)*\frac{1}{3}=\frac{17}{3}\\\\n-1=\frac{17}{3}*\frac{3}{1}\\\\n-1=17\\\\n=17+1=18](https://tex.z-dn.net/?f=%5Cfrac%7B-4%7D%7B3%7D%2B%28n-1%29%2A%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B13%7D%7B3%7D%5C%5C%5C%5C%28n-1%29%2A%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B13%7D%7B3%7D-%5Cfrac%7B-4%7D%7B3%7D%5C%5C%5C%5C%28n-1%29%2A%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B13%2B4%7D%7B3%7D%5C%5C%5C%5C%28n-1%29%2A%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B17%7D%7B3%7D%5C%5C%5C%5Cn-1%3D%5Cfrac%7B17%7D%7B3%7D%2A%5Cfrac%7B3%7D%7B1%7D%5C%5C%5C%5Cn-1%3D17%5C%5C%5C%5Cn%3D17%2B1%3D18)
Middle terms are 9the term and 10th term
![t_{9}=\frac{-4}{3}+8*\frac{1}{3}=\frac{-4}{3}+\frac{8}{3}=\frac{4}{3}\\\\t_{10}=\frac{-4}{3}+9*\frac{1}{3}=\frac{-4}{3}+\frac{9}{3}=\frac{5}{3}\\\\ t_{9}+t_{10}=\frac{4}{3}+\frac{5}{3}=\frac{9}{3}=3\\\\t_{9}+t_{10}=3](https://tex.z-dn.net/?f=t_%7B9%7D%3D%5Cfrac%7B-4%7D%7B3%7D%2B8%2A%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B-4%7D%7B3%7D%2B%5Cfrac%7B8%7D%7B3%7D%3D%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5Ct_%7B10%7D%3D%5Cfrac%7B-4%7D%7B3%7D%2B9%2A%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B-4%7D%7B3%7D%2B%5Cfrac%7B9%7D%7B3%7D%3D%5Cfrac%7B5%7D%7B3%7D%5C%5C%5C%5C%20t_%7B9%7D%2Bt_%7B10%7D%3D%5Cfrac%7B4%7D%7B3%7D%2B%5Cfrac%7B5%7D%7B3%7D%3D%5Cfrac%7B9%7D%7B3%7D%3D3%5C%5C%5C%5Ct_%7B9%7D%2Bt_%7B10%7D%3D3)