I^2 = -1
i = √-1
Substitute the value of i in the equation:
(4+2i)(6-ki)=30
{4 + (2)(√-1)} {6 - k (√-1)} = 30
( 4 + 2√-1)(6 -k√-1) = 30
24 - 4k√-1 + 12√-1 -2k (-1) =30
24 - 4k√-1 + 12√-1 +2k =30
-4k√-1+12√-1 + 2k - 6 =0
-2√-1(2k -6) + (2k-6) =0
(-2√-1 +1)(2k-6)=0
2k -6 =0
2k = 6
k= 3
So, the value of k is 3.
Answer:
B. y + 7 = -6/5 (x+3)
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula y
−
y
1
=
m
(
x
−
x
1
)
.
Slope-intercept form: y
=
−
6
/5
x
−
53
/5
Point-slope form: y
+
7
=
−
6
/5
⋅
(
x
+
3
)
Sure what do u need help with?
Answer:
The equation of the line containing (4,2) and (3,5) in the slope-intercept form will be:
Step-by-step explanation:
Given the points




We know that the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept
substituting m=-3 and the point (4, 2) to get the y-intercept i.e. b

2=(-3)4 + b
2 = -12 + b
b = 2+12
b = 14
Now, substituting b=14 and m=-3 in the slope-intercept form to determine the equation of a line in the slope-intercept.

y=(-3)x+(14)
y=-3x+14
Thus, the equation of the line containing (4,2) and (3,5) in the slope-intercept form will be:
8% = 8 ÷ 100
( 8 ÷ 100 ) × 259 = 20.72
none of the answers in the choices are correct. but if they are, go with letter b because it is closer to 20.72