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Natali [406]
3 years ago
13

What do I have to do in order to find the same perimeter?

Mathematics
1 answer:
larisa [96]3 years ago
6 0
2you suppose to multiplie the lenghts to the base
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the high school swimming team can have at most 45 members. the sign-up list contains 28 athletes. how many athletes can still jo
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Answer:

17

Step-by-step explanation:

45 - 28

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Give all solutions if the nonlinear system of equations, including those with no real complex components.
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\left\{\begin{array}{ccc}y=x^2+6x\\4x-y=-24\end{array}\right\\\\substitute:\\\\4x-(x^2+6x)=-24\\\\4x-x^2-6x+24=0\\\\-x^2-2x+24=0\\\\a=-1;\ b=-2;\ c=24\\\\\Delta=b^2-4ac

\Delta=(-2)^2-4\cdot(-1)\cdot24=4+96=100\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\x_1=\frac{2-10}{2\cdot(-1)}=\frac{-8}{-2}=4;\ x_2=\frac{2+10}{2\cdot(-1)}=\frac{12}{-2}=-6\\\\y_1=4^2+6\cdot4=16+24=40;\ y_2=(-6)^2+6\cdot(-6)=36-36=0\\\\Answer:\\x=4\ and\ y=40\ or\ x=-6\ and\ y=0
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Simplify the ratio 70lbs to 42lbs to lowest terms
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Simplify by dividing the two by 14

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A rectangular steel plate expands as it is heated. Find the rate of change of area with respect to temperature T when the width
trapecia [35]

Answer:

The variation rate is 4.07 × 10⁻⁵ cm²/ºC

Step-by-step explanation:

The relationship of the change in length as a function of the temperature, which are given in this problem can be written by the expression for the area of ​​a rectangle

a = L × W

Differentiating both sides,

\frac{da}{dT} = \frac{d(LW)}{dT}

\frac{da}{dT} = W \frac{dL}{dT} + L \frac{dW}{dT}

The values ​​they give us are

\frac{dL}{dT} = 1.1 × 10⁻⁵ cm/ºC

\frac{dW}{dT} = 8.9 × 10⁻⁶ cm/ºC

W = 1.6  cm

L= 2.6 cm

Substituting the values ​​and calculating

\frac{da}{dT} = (1.6 × 1.1 × 10⁻⁵) + (2.6 × 8.9 × 10⁻⁶)

\frac{da}{dT} = (1.76 × 10⁻⁵) + (2.31 × 10⁻⁵)

\frac{da}{dT} =  4.07 × 10⁻⁵ cm²/ºC

The variation rate is 4.07 × 10⁻⁵ cm²/ºC

4 0
3 years ago
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