Answer:
C
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 )
y =
x + 5 ← is in slope- intercept form
with slope m = 
• Parallel lines have equal slopes, hence
y =
x + c ← is the partial equation of the parallel line
To find c substitute (- 6, 0) into the partial equation
0 = - 2 + c ⇒ c = 0 + 2 = 2
y =
x + 2 → C
Slope is change in y over change in x:
Slope = (5c - 3c) / ( 2c -c)
Slope = 2c/c = 2
The answer is D. 2
2. He did not plug the correct values into the numerical equation.
The answer should be B.
Initial condition:
g+d=700
g=700-d
final condition
d+20=(2g/3)(1/6)
d+20=g/9
9d+180=g, and since g=700-d we can say
9d+180=700-d
10d+180=700
10d=520
d=52, and since g=700-d
g=648
The original number of ducks was 52 and the original amount of geese was 648.
So there were originally (648-52) 596 more geese than ducks.
Answer:
4 + 5i
Step-by-step explanation:
To calculate this you have to combine the like terms until they cannot be combined any further:
7 + 10i + 4 - 10i - (7 - 5i)
11 + 0i - 7 - 5i
7 & 4 are liked terms so add them together + subtract 10i and 10i
4 + 5i <--- Final answer
Hope this helps!