Answer:
y-intercept (0, 8)
Step-by-step explanation:
Plug in (1,4) --> (x,y) and solve for b (y-intercept):
y = -4x + b
4 = -4(1) + b
4 = -4 + b
b = 8
Therefore the y-intercept is (0, 8)
Let's write the parametric line
(x,y,z) = (0,2,8) + t(5,-1,4)
(5,-1,4) is called the direction vector of the line. It's normal to the plane
5x - y + 4z = constant
We get the constant by substituting the point (3,0,7),
5x - y +4z = 5(3) - 0 + 4(7) = 43
5x - y +4z = 43
Answer:
25.92 foot strides
Step-by-step explanation:
The man will take 120/5 = 24 five foot stride to cover the initial 120 foot advantage of the child.
Within this time, the child would have covered an additional 24/5 x 2 = 9.6 extra foot stride.
Within this 9.6 food stride of the child, the man will have to take an additional 9.6/5= 1.96 strides.
Total foot stride by the man will be 24 + 1.96 = 25.92 foot strides.
60 I believe I hope this helps if it was right :)
Answer: The volume of the sculpture is 141.84 cubic-feet
Step-by-step explanation: Please see the attachments below
