Describe fully the single transformation that takes shape P to shape Q.

Shape P is similar to shape Q, however, shape P, is smaller than shape Q.

Reasons:

The give figure shows;

The preimage figure = P

The image figure = Q

The image P is larger than the preimage Q, therefore, the figure, Q is a

dilation of the preimage P

The center of dilation is found with the formula;

Where;

(x₁, y₁) = A point on the preimage, P = (2, 3)

(x₂, y₂) = The corresponding point on the dilated image, Q = (4, 9)

k = The scale factor = 3

Therefore;

The center of dilation, (x₀, y₀) = (1, 0)

Therefore;

The single transformation that takes shape P to shape Q is a dilation by a scale factor of 3 with a center of dilation at (1, 0).

Learn more here:

link

Dilation by a scale factor of 3 about (1,0)

Step-by-step explanation:

The transformation is a dilation.

The center of dilation is (2,0), because a system of straight lines drawn through the corresponding points meets at (1,0).

The scale factor of the dilation is 3.

We obtain the scale factor by taking the ratio of a side length of triangle Q divided by the corresponding side length of triangle P.

For instance the ratio of the heights is

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

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convert the exponential equation to a logarithmic equation using the logarithm base (6) of the right side (36) equals the exponent (2).

ℓσg6(36)=2

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