Answer:
13
Step-by-step explanation:
(3-2i)(3+2i)
as (a+b)(a-b) =a²-b²
3²-(2i)²
=9-(4*-1)
=9-(-4)
=9+4
=13
Hope this helps you!
Answer:
Perimeter is 35 units.
Step-by-step explanation:
A heptagon has 7 equal sides.
Given the length of two consecutive vertices, A(-2-5) and B(1,-9).
We can find the length of AB and multiply by 7.
Recall the distance formula;
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
The length of AB is
![|AB|=\sqrt{(-2-1)^2+(-5--9)^2}](https://tex.z-dn.net/?f=%7CAB%7C%3D%5Csqrt%7B%28-2-1%29%5E2%2B%28-5--9%29%5E2%7D)
![|AB|=\sqrt{(-3)^2+(4)^2}](https://tex.z-dn.net/?f=%7CAB%7C%3D%5Csqrt%7B%28-3%29%5E2%2B%284%29%5E2%7D)
![\Rightarrow |AB|=\sqrt{9+16}](https://tex.z-dn.net/?f=%5CRightarrow%20%7CAB%7C%3D%5Csqrt%7B9%2B16%7D)
![\Rightarrow |AB|=\sqrt{25}](https://tex.z-dn.net/?f=%5CRightarrow%20%7CAB%7C%3D%5Csqrt%7B25%7D)
![\Rightarrow |AB|=5\:units](https://tex.z-dn.net/?f=%5CRightarrow%20%7CAB%7C%3D5%5C%3Aunits)
Therefore the perimeter is
.
Answer:
The answer is 40 sq. units
That is: 1/2×b×h (formula for area of triangle)
1/2×10×8
= 40
Answer:
![9d = 36](https://tex.z-dn.net/?f=9d%20%3D%2036)
Step-by-step explanation:
See attachment for complete question
![Length = 36ft](https://tex.z-dn.net/?f=Length%20%3D%2036ft)
![n = 10](https://tex.z-dn.net/?f=n%20%3D%2010)
From the question, we understand that one shrub must be at both ends.
Taking the first as a point of reference, we're left with:
![(n - 1) * distance = 36](https://tex.z-dn.net/?f=%28n%20-%201%29%20%2A%20distance%20%3D%2036)
Substitute 10 for n and d for distance
![(10 - 1) * d = 36](https://tex.z-dn.net/?f=%2810%20-%201%29%20%2A%20d%20%3D%2036)
![9 * d = 36](https://tex.z-dn.net/?f=9%20%2A%20d%20%3D%2036)
![9d = 36](https://tex.z-dn.net/?f=9d%20%3D%2036)
Hence:
answers the question
<h3>
Answer: 35</h3>
==========================================================
Explanation:
Check out the diagram below.
U is between T and V, and U is on segment TV. We can see that the smaller pieces TU and UV add back up to the largest segment TV
TU + UV = TV
17 + 18 = TV
35 = TV
TV = 35
Segment TV is 35 units long.