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3 years ago

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

Mathematics

1 answer:

iren [92.7K]3 years ago

8 0

Answer:

y-acis

Step-by-step explanation:

the function graph is symmetric about

- y-axis when it is an even function

-the origin ehen it is an even function

A symmetrical graph about the x-axis is not a function graph

f(×) is a even if and only if f(×) =f(×)

f(×) is a odd if and only f(×)=f(×)

We have the function r(0) = 4cos (50)

(only symmetry about the y-acis or about the origin)

Check r(-0)

r(-0) = 4cos (5-0) = 4cos (-50 = 4 cos (50)

Used cos (-× = cos ×

We have r(0). Therefore the graph of r(0) is symmectric about the y-axis.

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4 years ago

Read 2 more answers

Solve the triangle.

Reika [66]

Answer:

cute scalene triangle.

Sides: a = 1 b = 2 c = 1.906

Area: T = 0.94

Perimeter: p = 4.906

Semiperimeter: s = 2.453

Angle ∠ A = α = 29.543° = 29°32'36″ = 0.516 rad

Angle ∠ B = β = 80.457° = 80°27'24″ = 1.404 rad

Angle ∠ C = γ = 70° = 1.222 rad

Height: ha = 1.879

Height: hb = 0.94

Height: hc = 0.986

Median: ma = 1.888

Median: mb = 1.147

Median: mc = 1.262

Inradius: r = 0.383

Circumradius: R = 1.014

Vertex coordinates: A[1.906; 0] B[0; 0] C[0.166; 0.986]

Centroid: CG[0.691; 0.329]

Coordinates of the circumscribed circle: U[0.953; 0.347]

Coordinates of the inscribed circle: I[0.453; 0.383]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 150.457° = 150°27'24″ = 0.516 rad

∠ B' = β' = 99.543° = 99°32'36″ = 1.404 rad

∠ C' = γ' = 110° = 1.222 rad

Step-by-step explanation:

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4 years ago

The volume (in cubic feet) of a room is represented by 12z3−27z12z3−27z. find expressions that could represent the remaining dim

ratelena [41]

The volume of a room = length * width * height
                                    =12z³-27z
And by the analysis:
     The volume = 12z³-27z
                          = ( 3z ) ( 4z²-9 )              ⇒ by taking (3z) common
                          = ( 3z )( 2z+3 )( 2z-3 )    ⇒ <span>the difference between two squares

So </span><span>the dimensions of the room will be 3z , 2z+3 , 2z-3
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