Answer:
X= 6i
Step-by-step explanation:
We have the following equation:
y^3 - 3y^2 + X - 1 = -i (1),
where X is the missing term.
So, we know that y = 1 + i. Where i = sqrt(-1).
Substituting y = 1 + i in the equation (1):
(1 + i)^3 - 3(1 + i)^2 + X - 1 = -i
(1)^3 + 3(i)(1)^2 + 3(1)(i)^2 + (i)^3 - 3(1 + 2(1)(i) + (i)^2) + X - 1 = -i
Simplifying:
1 + 3i -3i - i - 3(1 + 2i -1) + X - 1 = -i
1 - i -6i + X - 1 = -i
-i - 6i + X = -i
- 6i + X = 0
X= 6i
So the missing term is X= 6i
Answer:
x = cos 135° = - (√2) / 2
Step-by-step explanation:
x = cos 135° = - √2/2
Answer:
132°
Step-by-step explanation:
<u>Sum of the interior angles of a polygon</u> is given by the formula:
Where 
is the number of sides of the polygon.
<u>The figure shows a 5 sided polygon (aka Pentagon). So the sum of all the angles is:</u>
Sum = 
<u>If we add up all the expressions/angles given and equate to 540, we can figure out 
. So:</u>
<em>But angle B measures 
, so plugging in 
, we have:</em>
Angle B = 
°
Second answer is right.
Answer:
y = x + 3
Step-by-step explanation:
I'm assuming that you are asking for a line perpendicular to
3x + 3y = 3 and going through (-1, 2)
first find the slope of the line
3y = -3x + 3
y = -1x + 1, the slope is -1 so the perpendicular slope is 1
y = mx + b
2 = 1(-1) + b
3 = b
y = x + 3
Answer:
Step-by-step explanation:
a ) Let the volume required be v .
v x .8 + 500 x .3 / ( v + 500 ) = .7
.8 v + 150 = .7 v + 350
.1 v = 200
v = 2000 mL
b )
Let the volume of solution A required be v . The volume of solution of B required will be 100 - v
v x .8 + ( 100 - v ) x .3 / 100 = .5
.8 v + 30 - .3 v = 50
.5 v = 20
v = 40 mL
volume of solution B = 60 mL .
c )
It is not possible because 90 % is more than 80 % the concentration of solution A . Any mixture will have concentration less than 80 % .
volume of solution B = 60 mL
