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3 years ago

Which is the value of the expression when x=-2 and y =-3

Mathematics

2 answers:

a_sh-v [17]3 years ago

6 0

Answer:

-720

Step-by-step explanation:

10x^3y^2 If x = -2 and y = -3

10 * (-2^3) * (-3^2)

10 * (-8) * (9) = -720

wel3 years ago

6 0

Answer:

A.) -720

Step-by-step explanation:

10x^3y^2

10 times x^3 times y^2

x = -2

y = -3

10 times (-2)^3 times (-3)^2

-2^3 = -2 x -2 x -2 = -8

-3^2 = -3 x -3 = 9

-8 x 9 = -72

10 x -72 = -720

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Find the volume of the composite figure.First, find the volume of the cylinder.Use 3.14 for it.CylinderVolume = [?] cm9 cm9 cmCu

skad [1K]

Solution

- The question gives us a composite figure made up of a cylinder and a cube.

- We are required to find the volume of the cylinder and the cube and then use the results to find the volume of the composite figure.

- The formulas needed for this calculation are:

$\begin{gathered} Volume\text{ of Cylinder}=\pi\times r^2\times h \\ where, \\ r=radius\text{ of the cylinder} \\ h=height\text{ of the cylinder} \\ \\ Volume\text{ of Cube}=l^3 \\ where, \\ l=dimension\text{ of the cube} \\ \\ Volume\text{ of Composite figure}=Volume\text{ of Cylinder }+Volume\text{ of Cube} \\ \end{gathered}$

- With the information above, we can proceed to solve the question

Volume of the Cylinder:

$\begin{gathered} V=\pi\times r^2\times h \\ r=\frac{6}{2}=3\text{ \lparen Since 6cm is the diameter of the cylinder\rparen} \\ h=4 \\ \\ \therefore V=\pi\times3^2\times4 \\ \\ V=36\pi cm^3 \end{gathered}$

Volume of Cube:

$\begin{gathered} V=l^3 \\ l=9 \\ \therefore V=9^3=729cm^3 \end{gathered}$

Volume of Composite Figure:

$\begin{gathered} V=36\pi+729 \\ use\text{ }\pi=3.14 \\ \\ V=36\left(3.14\right)+729 \\ \\ V=842.04cm^3 \end{gathered}$

Final Answer

The volume of the composite shape is 842.04 cm³

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