A cone-shaped container is completely filled with liquid. The container has a radius of 60 cm and an height of 210 cm. The liqui
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Answer:
`The answer is below
Step-by-step explanation:
P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)
Draw the line y= 2-4X for vales of x from -2 to 2
Solution:
The equation of a line is given by:
y = mx + b
Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).
The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.
x: -2 -1 0 1 2
y: 10 6 2 -2 -6
The value P(0, ) Q( ,0)
The y coordinate of point P is gotten by substituting x = 0:
y = 2 - 4(0) = 2
P = (0, 2)
The x coordinate of point Q is gotten by substituting y = 0:
0 = 2 - 4x
4x = 2
x = 0.5
Q = (0.5, 0)
Answer:
The sum of the two vectors is the vector <-0.5 , 4+3.5 >
Step-by-step explanation:
The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф
The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф
The vector is <b cos Ф , b sin Ф>
∵ The vector goes 7 units at an angle
- That means its magnitude is 7 and its direction is
∴ x = 7 cos( )
∴ y = 7 sin( )
∵ cos( ) =
∵ sin( ) =
- Substitute them in x and y
∴ x = (7)( )
∴ x = -3.5
∴ y = (7)( )
∴ y = 3.5
∴ The vector is <-3.5 , 3.5>
Now lets add the vectors by adding xs and ys components
∵ <3 , 4> + <-3.5 , 3.5 > = <3 + -3.5 , 4 + 3.5
>
∴ <3 , 4> + <-3.5 , 3.5> = <-0.5 , 4+3.5
>
∴ The sum of the two vectors is the vector <-0.5 , 4+3.5 >