We calculate for the x- and y-components of the distances traveled by the clown.
First: 8.0 m north
x-component = 0 m
y-component = +8 m
Second: 55° north of east (3.5 m)
x-component = (3.5 m)(cos 55°) = 2 m
y-component = (3.5 m)(sin 55°) = 2.87 m
Third: 5 m east
x-component = 5 m
y-component = 0 m
The total x-component is equal to 7 m and the y-component is equal to 10.87 m.
The displacement is,
c = sqrt((7 m)² + (10.87 m)²)
c = 12.93 m
<em>Answer: 12.93 m</em>
Answer:
x=20
Step-by-step explanation:
By the Triangle Sum Theorem, the angles of a triangle add up to 180. So we can set up the equation like this:
2x-10+70+4x=180
Combine Like terms
6x+60=180
Subtract 60 from both sides
6x=120
Divide by 6 to isolate the variable
x=20
Answer:
Horizontal asymptote: y = 0
Vertical asymptote: x = 3
Step-by-step explanation:
The vertical asymptote in this graph would be when x = 3 because it would make the denominator 0, which would make the equation undefined.
There will not be any holes in the graph, because there won't be any point undefined in the function except for when x = 3, but that's a vertical asymptote.
Now, for the horizontal asymptote, we see what value y approaches as x approaches plus and minus infinity. Since x is in the denominator, y will approach 0 when it's plus or minus infinity.
Horizontal asymptote: y = 0
Vertical asymptote: x = 3
A right Angle because right angles are 90 degree angles.
2x^2 - 3x - 2 = (2x + 1)(x - 2)
The factors of 2x^2 - 3x - 2 are 2x + 1 and x - 2.
