Line segment ab has endpoints a(2, 9) and b(5, 8) . a dilation, centered at the origin, is applied to ab . the image has endpoints a′(43, 6) and b′(103, 163) . what is the scale factor of this dilation?
32
23
2
3

 The correct option is (B)

Step-by-step explanation:  Given that the co-ordinates of the end-points of a line segment AB are A(2, 9) and B(5, 8). After being dilated about the origin (0, 0), the co-ordinates of the end-points of image A'B' are and

We are to find the scale factor of the dilation.

The scale factor of the dilation will be

The lengths of the lines AB and A'B' are calculated using distance formula as follows:

Therefore, the required scale factor of dilation is

Thus, the scale factor of the dilation is

Option (B) is CORRECT.

your answer is b ^w^ hope i

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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