Answer:
K=(3,6)
Step-by-step explanation:
If you reflect it over the y-axis the first number will change to a positive and the second number will stay the same.
Hope this helps have a great day! :)
(0,-7)
-7=11(0)+4
-7=0+4
-7 is not 4 -----not a solution
(-1,-7)
-7=11(-1)+4
-7=-11+4
-7=-7 ----solution
(1,-7)
-7=11(1)+4
-7=11+4
-7=15
-7 is not 15 ----not a solution
(2,26)
26=11(2)+4
26=22+4
26=26 ----soltion
(-1, -7) & (2, 26) are solutions to the equation
Answer:
y = -3x - 2
Step-by-step explanation:
slope (m) = (-8 - -5) / (2 - 1) ... difference of y/difference of x
m = -3
y = mx + b
y = -3x + b
for (3,-11) b = y + 3x = -11 + 3x3 = -2
equation: y = -3x - 2
Answer:
(a) ![w=2+5i-6=-4+5i](https://tex.z-dn.net/?f=w%3D2%2B5i-6%3D-4%2B5i)
Multiplicative inverse of w will be ![\frac{1}{-4+5i}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B-4%2B5i%7D)
(B) As w is same as the product of ![z_1\ and\ z_2](https://tex.z-dn.net/?f=z_1%5C%20and%5C%20z_2)
So there multiplicative inverse will also be same
Step-by-step explanation:
We have given two complex numbers
and ![z_2=3+2i](https://tex.z-dn.net/?f=z_2%3D3%2B2i)
(a) First we have to find ![w=z_1z_2](https://tex.z-dn.net/?f=w%3Dz_1z_2)
So ![w=(1+i)(2+3i)=2+3i+2i+6i^2=2+5i+6i^2](https://tex.z-dn.net/?f=w%3D%281%2Bi%29%282%2B3i%29%3D2%2B3i%2B2i%2B6i%5E2%3D2%2B5i%2B6i%5E2)
As we know that ![i^2=-1](https://tex.z-dn.net/?f=i%5E2%3D-1)
So ![w=2+5i-6=-4+5i](https://tex.z-dn.net/?f=w%3D2%2B5i-6%3D-4%2B5i)
Multiplicative inverse :
It is that number when multiply with the number which we have have to find the multiplicative inverse gives result as 1
So multiplicative inverse of w will be ![\frac{1}{-4+5i}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B-4%2B5i%7D)
Because when we multiply
with
it gives result as 1
(b) As w is same as the product of ![z_1\ and\ z_2](https://tex.z-dn.net/?f=z_1%5C%20and%5C%20z_2)
So there multiplicative inverse will also be same
Given:
In triangle ABC, point D is the centroid, and BD = 6.
To find:
The measure of side BE.
Solution:
We know that the centroid divides each median in 2:1.
In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.
Let BD and DE are 2x and x respectively.
We have, BD = 6 units.
![2x=6](https://tex.z-dn.net/?f=2x%3D6)
![x=\dfrac{6}{2}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B6%7D%7B2%7D)
![x=3](https://tex.z-dn.net/?f=x%3D3)
Now,
![BE=BD+DE](https://tex.z-dn.net/?f=BE%3DBD%2BDE)
![BE=6+x](https://tex.z-dn.net/?f=BE%3D6%2Bx)
![BE=6+3](https://tex.z-dn.net/?f=BE%3D6%2B3)
![BE=9](https://tex.z-dn.net/?f=BE%3D9)
Therefore, the measure of side BE is 9 units.