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Luden [163]
3 years ago
9

A rectangle has a length of 11 inches and a width of 7 inches. If the length is increased by xx inches and the width increased b

y three times that amount, express the area of the rectangle as a function of x.
A(x)=??
Mathematics
1 answer:
charle [14.2K]3 years ago
8 0
A(x) = (11+x)(7+3x)
A(x) = 77 + 33x + 7x + 3x^2
A(x) = x^2 + 40x + 77

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A fence is 695
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Let the two parts with equal length have length x.
The longer part has length x + 20.

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x + x + x + 20 = 695

3x + 20 = 695

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x = 225

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The two short parts measure 225 m, and the long part measures 245 m.
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Which is an arithmetic sequence
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An arithmetic sequence is a sequence in which the difference between successive terms in the sequence can be gotten by either adding or subtracting a particular number. This number is called the common difference

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Solve the following formula for x<br> y= 8mx + 5b
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Answer:

Solve the following formula for x

y= 8mx + 5b

answer is

x= y-5b/8m

Step-by-step explanation:

from  the equation y= 8mx + 5b

to solve for x

we have ; y - 5b = 8mx

divide both sides by 8m

y - 5b/ 8m = x

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Step-by-step explanation:a

5 0
3 years ago
Find the work required to move an object in the force field F = e^x + y (1, 1, z) along the straight line from A(0, 0, 0) to B(-
DENIUS [597]

\vec F(x,y,z)=(e^x+y)(1,1,z)

is conservative if we can find a scalar function f such that \nabla f=\vec F. This would require

f_x=e^x+y

f_y=e^x+y

f_z=(e^x+y)z

Integrating both sides of the first equation wrt x gives

f(x,y,z)=e^x+xy+g(y,z)

Differentiating both sides of this wrt y gives

f_y=x+g_y=1\implies g_y=1-x\implies g(y,z)=y-xy+h(z)

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To find the work, first parameterize the path (call it C) by

\vec r(t)=(1-t)(0,0,0)+t(-4,5,-5)=(-4t,5t,-5t)

for 0\le t\le1. Then

\vec r'(t)=(-4,5,-5)

and the work is given by the line integral,

W=\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_0^1(e^{-4t}+5t,e^{-4t}+5t,-(e^{-4t}+5t)5t)\cdot(-4,5,-5)\,\mathrm dt

W=\displaystyle\int_0^1(125t^2+5t+(25t+1)e^{-4t})\,\mathrm dt=\boxed{\frac{2207}{48}-\frac{129}{16e^4}}

8 0
3 years ago
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