Answer:
E = (28 + 66i) Volts
Step-by-step explanation:
Note that: i = √-1 ; i² = -1
Ohm's law: E = IR
E = (16+ i) (2 + 4i)
Expand the equation.
E = 16x2 + 16x4i + ix2 + ix4i
E = 32 + 64i + 2i + 4i²
E = 32 + 64i + 2i + 4(-1)
E = 32 + 64i + 2i - 4
Collect like terms:
E = 32 -4 + 64i + 2i
E = (28 + 66i) Volts
See the attached figure
DB = 4 and DC = 6 , We need to find AD
Using <span>Euclid's theorem for the right triangle
</span><span>
</span><span>∴ DB² = AD * DC
</span><span>
</span><span>∴ 4² = AD * 6
</span><span>
</span><span>∴ 6 AD = 16
</span><span>
</span><span>
</span><span>
∴ AD = 16/6 = 8/3 ≈ 2.67</span>
Answer:
hope this helps you get the best answer
Step-by-step explanation:
Addition Property of Equality
We can add the same number to both sides and still keep the equality.
First, we took away three from each side: x+3−3=8−3x+3−3=8−3
Then we were left with five: x=5x=5
The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal.
Multiplication Property of Equality
Stated simply, when you divide or multiply both sides of an equation by the same quantity, you still have equality. ... In the example below the variable is multiplied by 4 , so we will divide both sides by 4 to “undo” the multiplication.
Let x=−7x=−7. Substitute −7−7 for x: 4(−7)?=−284(−7)=?−28
Check your answer: 4x=−284x=−28
Simplify: x=−7x=−7
Subtraction Property of Equality
You can subtract the same number from both sides of an equation and get an equivalent equation.
Answer:
-1/5
Step-by-step explanation:
Perpendicular lines are lines which have a specific relationship. The slopes of the two lines are negative reciprocals of each other. We can find the slope easily in slope-intercept form, y=mx+b.
Since our equation is already in slope intercept form then y=5x-2 has a slope of 5.
The slope of the perpendicular line will be -1/5. This is the negative reciprocal of 5.
the end behavior would be a parabola upside-down