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andrew11 [14]
3 years ago
11

The legth of the second of a triangle is two inches less then the lengtg of the first side. The legth of the third side is 12 in

ches more than the legth of the first side. The perimeter is 73 inches. Find the legth of each side of the triangle
Mathematics
1 answer:
Elanso [62]3 years ago
5 0
 damm by 123 ima  babdat math sp
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Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)).
Triss [41]
f(x)=-4x+7\\
g(x)=10x-6\\\\\Substitute\ x=10x-6\ to\ f(x)\\
f(g(x))=-4(10x-6)+7\\
f(g(x))=-40x+24+7=-40x+31\\\\\
Solution\ is\ f(g(x))=-40x+31.
8 0
3 years ago
HELP ME!!! 4- 5/8 =?
BlackZzzverrR [31]

Answer:

27/8

Step-by-step explanation:

1.) 4-5/8

Convert element to fraction

2.) 4 x 8/8-5/8

3.) 4 x 8-5/8

4.) 27/8

7 0
3 years ago
An open rectangular box having a volume of 108 in.3 is to be constructed from a tin sheet. Find the dimensions of such a box if
murzikaleks [220]

Answer:

6 in x 6 in x 3 in.

Step-by-step explanation:

Given

V = xyz = 108   ⇒   z = 108/(xy)

The amount of the material used is

S = xy + 2yz + 2xz

Put value of z from the volume

S = xy + 2y*108/(xy) + 2x*108/(xy) = xy + 216/x + 216/y

Now, we find the relative minimum of the function S(x,y)

First, we find the critical point. Set Sx = 0  and  Sy = 0

and solve this system:

Sx(x,y) = y - (216/x²) = 0

Sy(x,y) = x - (216/y²) = 0

From the first equation we have

y = 216/x²

Put it in the second equation and find x

x - (216/(216/x²)²) = 0

⇒  x*(1 - (x³/216)) = 0

⇒  x₁ = 0   and  x₂ = 6

Now, we can find y as follows

y₁ = 216/(0)²   which is undefined

y₂ = 216/(6)² = 6

Hence, the only critical point of S is (6, 6). Next, we calculate the second ordered derivatives that we need for the second derivative test:

Sxx(x,y) = 432/x³

Sxy(x,y) = 1

Syy(x,y) = 432/y³

Applying the second derivative test

D(6, 6) = Sxx(6, 6)*Syy(6, 6) - S²xy(6, 6) = 2*2 - 1² = 4 -1 = 3 > 0

Sxx(6, 6) = 2 > 0

Since D(6, 6) > 0   and   Sxx(6, 6) > 0   we can conclude that S has a relative minimum at (6, 6).

z coordinate is:

z = 108/(xy) = 108 / (6*6) = 3

Finally, the dimentions of a box are 6 in x 6 in x 3 in.

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3 years ago
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PolarNik [594]

Answer:

Step-by-step explanation:

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Which statement correctly compares the centers of the distributions?
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Answer:

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Step-by-step explanation:

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