Answer: B) 16 units
Step-by-Step Explanation:
As we can observe from the graph,
Length (l) = 5 units
Breadth (b) = 3 units
Perimeter = 2(l + b)
Therefore,
= 2(l + b)
= 2(5 + 3)
= 2(8)
= 2 * 8
=> 16
Perimeter = 16 units
For polar form you need to find the modulus (length of the vector) and the argument (angle of the vector) and present in form rcis(Arg) or re^Argi
start with the modulus r=sqrt(a^2 +b^2)
=sqrt(-2^2 +2^2)
= sqrt(4+4)
=sqrt(8)
=2sqrt(2)
next the argument, firstly arg=tan(b/a)
= tan(2/2)
=tan(1)
=pi/4 . (exact values table)
Now consider the quadrant the complex number is in, as it is (-2,2) it is in the second quadrant and as such your Arg value is:
Arg=pi-arg
= pi-pi/4
= 3pi/4
add it all together and your complex number in polar form is:
2sqrt2cis(3pi/4)
note: cis is short hand for cos(x)+isin(x), it is possible your tutor would rather you use the complex exponential form which is simply re^Argi and your answer would look like:
2sqrt2e^(3pi/4)i
Also notice the difference between arg and Arg as this often slips students up and always present Arg in prinicple argument form ie -pi<Arg<pi
Hopefully this has been clear enough and good luck
Answer:
B. 2 (Second Option)
Step-by-step explanation:
Four times: ⇒ 4
Number:⇒ y
4y+3=11
<em>Subtract by 3 both sides of equation.</em>
<em>4y+3-3=11-3</em>
<em>Simplify.</em>
<em>11-3=8</em>
<em>4y=8</em>
<em>Divide by 4 both sides of equation.</em>
<em>4y/4=8/4</em>
<em>SImplify, to find the answer.</em>
<em>8/4=2</em>
<em>y=2 is the correct answer.</em>
<em>2 is the correct answer.</em>
Answer:
4000
Step-by-step explanation:
200 + 200 {100
400 × 10
4000
Answer:
135
Step-by-step explanation:
75 x - 30 = 45
Inequality
45 x 3 =
135 (Inequality)
