Answer:
The conjugate of 2i + 9 = -2i + 9
Product of (2i+9) and (2i+9) is 36i + 77
Step-by-step explanation:
Given - 2i + 9
To find - Find the conjugate and product of the following surds
Proof -
We know that,
The sum and difference of two simple quadratic surds are said to be conjugate surds to each other.
To find a complex conjugate, simply change the sign of the imaginary part (the part with the i ).
So,
The conjugate of 2i + 9 = -2i + 9
Now,
Product of surd (2i+9) is
(2i+9)(2i+9) = 2i(2i) + 2i(9) + 9(2i) + 9(9)
= 4i² + 18i + 18i + 81
= -4 + 36i + 81 { because i² = -1 }
= 77 + 36i
⇒Product of (2i+9) and (2i+9) is 36i + 77
Answer:
43
Step-by-step explanation:
You have to use pi to calculate the radius "3.14". Just solve the equation and then divide it by pi.
H(d)=height from water
when he reaches the water, his height from water=0
so set the equation equal to zero and solve
0=-d^2+2d+24
multiply both sides by -1 for ease
0=d^2-2d-24
now find what 2 factors of -24 add up to -2
answer is -6 and 4
0=(d-6)(d+4)
set each to zero
d-6=0
d=6
d+4=0
d=-4
you cannot have negative distance because that means he hasn't jumped yet so get rid of this number
d=6
answer is 6 meters