The given expression :
For coordinates:
put x = 0 then :
Coordinate : (x, y) = (0, 1)
Put x= 1 and simplify :
Coordinate : (x, y) = ( 1, 0.5)
Put x = (-2) and simplify :
Coordinate : (x, y) = ( -2, 4)
Put x = (-3) and simplify :
Coordinate : (x, y) = (-3, 8)
Substitute x = (-1) and simplify :
Coordinate : (x, y) = ( -1, 2)
So, the coordinates are :
The graph is :
<span><span>
The correct answers are:</span><span>
(1) The vertical asymptote is x = 0
(2) The horizontal asymptote is y = 0
</span><span>
Explanation:</span><span>(1) To find the vertical asymptote, put the denominator of the rational function equals to zero.
Rational Function = g(x) = </span></span>
<span>
Denominator = x = 0
Hence the vertical asymptote is x = 0.
(2) To find the horizontal asymptote, check the power of x in numerator against the power of x in denominator as follows:
Given function = g(x) = </span>
<span>
We can write it as:
g(x) = </span>
<span>
If power of x in numerator is less than the power of x in denomenator, then the horizontal asymptote will be y=0.
If power of x in numerator is equal to the power of x in denomenator, then the horizontal asymptote will be y=(co-efficient in numerator)/(co-efficient in denomenator).
If power of x in numerator is greater than the power of x in denomenator, then there will be no horizontal asymptote.
In above case, 0 < 1, therefore, the horizontal asymptote is y = 0
</span>
Answer:
i. The horizontal component of the ball = 15.8
ii. The vertical component of the ball = 11.2
Step-by-step explanation:
A thrown ball is an example of a projectile, whose motion can be explained with respect to both horizontal and vertical components.
Horizontal component of the ball = U Cos θ
Vertical component of the ball = U Sin θ
where U is the initial velocity of the ball, and θ is the angle of projection.
Thus for the given question,
U = 70 km/hr (19.44 m/s)
θ = 35°
So that;
i. The horizontal component of the ball = 19.44 Cos 35°
= 19.44 x 0.8192
= 15.785
The horizontal component of the ball = 15.8.
ii. The vertical component of the ball = 19.44 Sin 35°
= 19.44 x 0.5736
= 11.151
The vertical component of the ball = 11.2
Answer:
24 because it is the middle number
Step-by-step explanation:
$540
6% = .06
“of” = multiply
so 6% of 9000 can be written as .06 x 9000 , which is 540
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