Consider line A whose equation is y = -10x + 8. If line B is perpendicular to line A and has a y-intercept at y = 3, what is the
1 answer:
Answer:
C) . y=(1/10)x+3
Step-by-step explanation:
Given the equation of the line is y=-10x+8
It is in the form of y=mx+c where m is the slope of the line. Now on comparision we get m1=-10.
We knoew that two lines are perpendicular iff the product of their slopes is equal to -1.
the slope of the recquired line ==
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept
Given the y intercept of the recquired line (b)=3
The recquired line is
y=mx+b
y=(1/10)x+3
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Answer:
The dimension of the open rectangular box is .
The volume of the box is 8.217 cubic inches.
Step-by-step explanation:
Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.
To find : The dimensions and the volume of the open rectangular box ?
Solution :
Let the height be 'x'.
The length of the box is '11-2x'.
The breadth of the box is '7-2x'.
The volume of the box is
Derivate w.r.t x,
The critical point when V'(x)=0
Solve by quadratic formula,
Derivate again w.r.t x,
Now, (+ve)
(-ve)
So, there is maximum at x=1.392.
The length of the box is
The breadth of the box is
The height of the box is h=1.392.
The dimension of the open rectangular box is .
The volume of the box is
The volume of the box is 8.217 cubic inches.