Answer:
Step-by-step explanation:
If a complex number is z=a+ib, then the trigonometric form of complex number is
where,
and
,
is called the argument of z,
.
The given complex number is -5i.
It can be rewritten as
Here, a=0 and b=-5.
lies in 4th quadrant.
So, the trigonometric form is
Answer:
The correct option is 4.
Step-by-step explanation:
Let the line AB divided into 7 equal parts.
It is given that point P partitions the directed line segment from A to B in 3:4. It means 3 parts are before P and 4 partes are after P.
It is given that point Q partitions the directed line segment from A to B in 4:3. It means 4 parts are before Q and 3 partes are after Q.
It is given that point R partitions the directed line segment from A to B in2:5. It means 2 parts are before R and 5 partes are after R.
It is given that point S partitions the directed line segment from A to B in 5:2. It means 5 parts are before S and 2 partes are after S.
From the below figure we can say that point S is closest to point B.
It is also written as


Therefore option 4 is correct.
Answer:
1. yes
2, no
3. yes
4. yes
Step-by-step explanation:
1. yes
If both sets of opposite sides are congruent, the quadrilateral is a parallelogram.
2. no
We know two side lengths. We know nothing about the other 2 sides and also nothing about all 4 angles.
3. yes
The missing angle must be 102°. With both pairs of opposite angles congruent, it must be a parallelogram.
4. yes
With both pairs of opposite angles congruent, it must be a parallelogram.
First off, the function above is incomplete, however, by the looks of it, likely a quadratic, anyway, the values "x" can safely take on would be all real numbers, thus -∞ < x < +∞

<em><u>Solution:</u></em>
Given that we have to find the value of "m"
Given expression is:

<em><u>Let us first convert the mixed fraction to improper fraction</u></em>
Steps to follow:
Divide the numerator by the denominator.
Write down the whole number answer.
Then write down any remainder above the denominator.
Therefore,

Now the expression becomes,

Keep the variable "m" on L.H.S and move the constant to R.H.S

Thus value of m is equal to 3.625 or 