First you must distribute the minus sign to the number bolded bellow:
(-7 + 3i) - (2 - 6i)
(-7 + 3i) + (-2 + 6i)
-7 + 3i - 2 + 6i
Now you must combine like terms. Imaginary numbers can only combine with imaginary and real number can only be combined with real numbers:
(-7 + (-2) ) + (3i + 6i)
-9 + 9i
I hope this helped! Let me know if you have any questions :)
~ Just a girl in love with Shawn Mendes
Answer:
f(x) = 2x +1
Step-by-step explanation:
Apparently the ordered pairs are ...
(x, f(x)) = (1, 3), (2, 5), (3, 7), (4, 9)
We note that as x increases by 1, the value of f(x) increases by 2. The difference between f(x) and 2x is 3-2·1 = 1, so we have ...
f(x) -2x = 1
f(x) = 2x +1 . . . . . . add 2x
Answer:
3/8, 2/5, 11/20, 23/40, 7/10, 3/4
Step-by-step explanation:
Just change them all to the same denominator and you're good. Put all of the fractions' denominators to 40 as that's the least common denominator. 3/4 turns into 30/40. 2/5 turns into 16/40. 3/8 turns into 15/40. 7/10 turns into 28/40. 11/20 turns into 22/40. And 23/40 stays as it is, because the denominator is already 40.
Putting them in order is now simple,
3/8 (15/40) < 2/5 (16/40) < 11/20 (22/40) < 23/40 < 7/10 (28/40) < 3/4 (30/40)
***When you multiply any fraction to change its denominator, multiply it by the same thing to the numerator as well.
Good Luck!
Answer:
y = 3x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = 
= 
= 
= 3
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 3x + 3 ← equation of line
