Simplify the following expression (30/45g+20)-(8/9g+7)
2 answers:
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Answer:
(x-2)²/100 + (y+3)²/64 = 1
Step-by-step explanation:
C (2,-3): h=2 k=-3
semimajor axis (CV): a=12-2=10
center-foci: c=8-2=6
semi minor axis: b² = a²-c²= 100 - 36 = 64
equation: (x-h)²/a² + (y-k)²/b² = 1
(x-2)²/100 + (y+3)²/64 = 1
Since h represents the height of the ball at any given time, t, let h = 25, such that the ball will be 25m high at t.
Now, we have 25 = 20t - 5t²
5t² - 20t + 25 = 0
t² - 4t + 5 = 0
Since the discriminant is less than zero, there are no solutions.
Hence, the ball will never be 25m high.
Now, we have 25 = 20t - 5t²
5t² - 20t + 25 = 0
t² - 4t + 5 = 0
Since the discriminant is less than zero, there are no solutions.
Hence, the ball will never be 25m high.
Angle between is
° .
<u>Step-by-step explanation:</u>
We have , two vectors u = <-5, -4>, v = <-4, -3> or ,
We need to find angle between these two vectors . Let's find out:
We know that dot product of two vectors is defined as :
, where x is angle between u & v !
⇒
⇒
Now ,
⇒
⇒ {
}
⇒
Now , Modulus of any vector is
So ,
Putting all these values in equation we get:
⇒
⇒
⇒ {
}
⇒ °
Therefore , Angle between is
° .