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vivado [14]
3 years ago
14

Write an equation of the line with the given slope and y-intercept. slope:1/9, y-intercept: 3

Mathematics
1 answer:
Setler79 [48]3 years ago
8 0

y = 1/9x + 3

The formula of the equation is y = mx + b

M is the slope and b is the y-intercept.

Hope this helps, and have a good day! :]

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A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the intersection
svet-max [94.6K]

Answer:

x  =  2  cm

y  = 2  cm

A(max) =  4 cm²

Step-by-step explanation: See Annex

The right isosceles triangle has two 45° angles and the right angle.

tan 45°  =  1  =  x / 4 - y        or     x  =  4  -  y     y  =  4  -  x

A(r)  =  x* y

Area of the rectangle as a function of x

A(x)  =  x  *  (  4  -  x )       A(x)  =  4*x  -  x²

Tacking derivatives on both sides of the equation:

A´(x)  =  4 - 2*x             A´(x)  =  0            4   -  2*x  =  0

2*x  =  4

x  =  2  cm

And  y  =  4  - 2  =  2  cm

The rectangle of maximum area result to be a square of side 2 cm

A(max)  = 2*2  =  4 cm²

To find out if A(x) has a maximum in the point  x  =  2

We get the second derivative

A´´(x)  =  -2           A´´(x)  <  0   then A(x) has a maximum at  x = 2

5 0
2 years ago
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Answer:

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Answer:

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3 years ago
How many triangles can be constructed with sides measuring 1 m, 2 m, and 2 m?
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