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Anna71 [15]
3 years ago
6

A rectangle has an area of 63 square inches. The width of the rectangle is 6 inches. What is the rectangle’s length, in inches?

Mathematics
1 answer:
atroni [7]3 years ago
6 0

When you know the area and one side of a rectangle, divide the area by the known side to find the length of the other side.

Length = 63/6

Length = 10.5 inches

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Solution of this equation sqrt x+10-9=-7
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Original equation 
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</span>Isolate
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3 years ago
Find an equation of a plane containing the line r=⟨−5,−1,−1⟩+t⟨−6,10,−5⟩r=⟨−5,−1,−1⟩+t⟨−6,10,−5⟩ which is parallel to the plane
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7 0
3 years ago
Find a particular solution to the differential equation y′′+2y′+y=2t2−t+3e−2t. y′′+2y′+y=2t2−t+3e−2t.
Jlenok [28]
y''+2y'+y=2t^2-t+3e^{-2t}

The characteristic equation is

r^2+2r+1=(r+1)^2=0\implies r=-1

so the characteristic solution is

y_c=C_1e^{-t}+C_2te^{-t}

For the particular solution, we can try looking for a solution of the form

y_p=at^2+bt+c+de^{-2t}
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\implies{y_p}''=2a+4de^{-2t}

Substituting into the ODE, we have

(2a+4de^{-2t})+2(2at+b-2de^{-2t})+(at^2+bt+c+de^{-2t})=2t^2-t+3e^{-2t}
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So the general solution to the ODE is

y=y_c+y_p
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4 0
3 years ago
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