Given polar equation is
for polar equation we use
and
plug the given value of r into these equations we get:
find derivative with respect to theta
now slope is given by formula
plug the above values into slope formula and the given angle theta = pi/2
plugging theta=pi/2 and simplifying it gives
m=0.5
Hence final answer is m=0.5
A) 144/4 = 36 metres per side
b) 18*3 = 54
54+54+18+18= 144 metres
dimensions would be 54 by 18
Answer:
C)
Step-by-step explanation:
It seperates and makes most sense
Answer:
-21
Step-by-step explanation:
Solve the parenthesis first: 4-(5)^2
Solve the exponent next: 4-25
Subtract: -21
Hope this helps!
-EmV
Answer:
(4+7i)-2i(2+3i) = 10+3i
Step-by-step explanation:
We need to find the expression that is equivalent to the complex number 10+3i.
Option 1. 2i(4-5i)+(1-7i)
=8i-10i²+1-7i
∵ i² = -1
=8i-10(-1)+1-7i
=8i+10+1-7i
=11+i (incorrect)
Option 2. (4+7i)-2i(2+3i)
=4+7i-4i-6i²
=4+7i-4i-6(-1)
=4+7i-4i+6
=10+3i (Correct)
Option 3. (-3+5i)-3i(4+5i)
= (-3+5i)-12i-15i²
= -3+5i-12i-15(-1)
= -3+5i-12i+15
=12-7i (incorrect)
Option 4. 3i(4+7i)+(11+2i)
= 12i+21i²+11+2i
=12i+21(-1)+11+2i
= 12i-21+11+2i
=14i-10 (incorrect)
Hence, the correct option is (B).