8. Justin sells brownies for $2 each and
1 answer:
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The value of p+q = 403,For the given complex number a+bi and
where p and q are co-primes
F(z)= (a+ib)z⇒this is equidistant from "0" and "z"
Given modulus of complex number (a+ib) = 10 ; p and q ∈Z
G.C.D of ( p and q)=1
(a+ib)z equidistant from "0" and "z"
p = 399 and q= 4
p+q= 399+4
p+q=403
Hence the value of p+q = 403
Complete question:A function f is defined on the complex number by f (z) = (a + bi)z, where 'a' and 'b' are positive numbers. This function has the property that the image of each point in the complex plane is equidistant from that point and the origin. Given that |a+bi|=8 and that where p and q are coprime. Find the value of (p+q)
Learn more about complex numbers here:
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Answer:
a) 64 feet
b) 3 seconds
Step-by-step explanation:
a)
The maximum height of can be bound by finding the y-coordinate of the vertex of
.
Compare this equation to to find the values of
.
.
The x-coordinate of the vertex can be found by evaluating:
So the x-coordinate of the vertex is 1.
The y-coordinate can be found be evaluating at
:
So the maximum height of the rocket is 64 ft high.
b)
When the rocket hit's the ground the height that the rocket will be from the ground is 0 ft.
So we are trying to find the second t such that:
I'm going to divide both sides by -16:
Now we need to find two numbers that multiply to be -3 and add to be -2.
Those numbers are -3 and 1 since (-3)(1)=-3 and (-3)+(1)=-2.
This implies we have either or
The first equation can be solved by adding 3 on both sides: .
The second equation can be solved by subtracting 1 on both sides: .
So when seconds, is when the rocket has hit the ground.
Answer by JKismyhusbandbae: 12
Solve the equation for a
Work: (listed in picture)
Answer:
Therefore the value of v in the equation is 7
