$\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1$

6 0

3 years ago

Function 1: y = 4x + 5

vlabodo [156]

Y=mx+b
m=slope

given
y=4x+5
m=4=slope

2.
for the points (x1,y1) and (x2,y2), the slope of the line passing trhough those points is (y2-y1)/(x2-x1)
given
(1,6) and (3,10)
slope=(10-6)/(3-1)=4/2=2

function 1 slope is 4
function 2 slope is 2
4>2

the first one has greater rate of change

6 0

3 years ago

Read 2 more answers

Which one of the following pairs of numbers contains like fractions? A. 6/7 and 60/70 B. 4/8 and 12/16 C. 5/4 and 4/5 D. 1/2 and

Snezhnost [94]