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Aliun [14]
2 years ago
7

What is the equation of the line that passes through the point (3,2) and has a slope pf -5/3

Mathematics
1 answer:
andrew11 [14]2 years ago
4 0

Answer:

y=-5/3x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-2=-5/3(x-3)

y=-5/3x+15/3+2

y=-5/3x+5+2

y=-5/3x+7

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Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by
11111nata11111 [884]

Answer:

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

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 V=l\times b\times h

V=(11-2x)\times (7-2x)\times x

V=4x^3-36x^2+77x

Derivate w.r.t x,

V'(x)=4(3x^2)-2(36x)+77

V'(x)=12x^2-72x+77

The critical point when V'(x)=0

12x^2-72x+77=0

Solve by quadratic formula,

x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}

x=4.607,1.392

Derivate again w.r.t x,

V''(x)=24x-72

Now, V''(4.607)=24(4.607)-72=38.568>0 (+ve)

V''(1.392)=24(1.392)-72=-38.592 (-ve)

So, there is maximum at x=1.392.

The length of the box is l=11-2x

l=11-2(1.392)=8.216

The breadth of the box is b=7-2x

b=7-2(1.392)=4.216

The height of the box is h=1.392.

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is V=l\times b\times h

V=8.216\times 4.216\times 1.392

V=48.217\ in.^3

The volume of the box is 8.217 cubic inches.

5 0
3 years ago
What do I do with the x squared
Alexxandr [17]

first, find the square root of 45. and make x normal. a square root cancels out a square. It should be 6.7x

4 0
2 years ago
Can someone please help me with this ?
natulia [17]
13. 1,6

18. -15,12

19. -7, 1/2
4 0
3 years ago
Can someone explain to me how to do this and give me the answer please?​
pantera1 [17]

Answer:

To find x, y, z, p and q, you need to know about the property of Rhombus.

13y + 10 = 7y + 16 (pair of equal opposite sides)

=> 6y = 6

=> y = 1

x = 7x + 16 (2 equal adjacent sides)

  = 7*1 + 16

  =23

z = 90 deg (angle between 2 diagonals)

q = 22 deg (isosceles triangle)

p = 90 - 22 = 68 deg (right triangle)

4 0
3 years ago
Can someone help? it’s 7th grade math and im finishing this project for the end of the year
drek231 [11]

Answer:

c

Step-by-step explanation:

8 0
2 years ago
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