Find the value of the expression: 2xy+2x^2 for x=−2.5 and y=−7.5

Mathematics

1 answer:

Kisachek [45]3 years ago

8 0

2(-2.5)(-7.5) + 2(-2.5)^{2}

= 50

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sp2606 [1]

The length of an arc is given by θ/360×2πr, where θ is angle subtended by the arc to the center and r is the radius of the circle.
The length is 12 units, and θ/360 is 1/3
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r = 12× 3/3.142
r = 11.457 units
≈ 11 units

5 0

3 years ago

An artist cuts 4 squares with side length x ft from the corners of a 12 ft-by-18 ft rectangular piece of sheet metal. She bends

Kruka [31]

Answer:

$V=4x^3-60x^2+216x$

Step-by-step explanation:

Volume And Function s

Geometry can usually be joined with algebra to express volumes as a function of some variable. The volume of a parallelepiped of dimensions a,b,c is

$V=abc$

Our problem consists in computing the volume of a box made with some sheet of metal 12 ft by 18 ft. The four corners are cut by a square distance x as shown in the image below .

If the four corners are to be lifted and a box formed, the base of the box will have dimensions (12-2x)(18-2x) and the height will be x. The volume of the box is

$V=x(12-2x)(18-2x)$