7. Triangle FIP was dilated by a scale factor of centered at the origin to

Mathematics

1 answer:

Assoli18 [71]2 years ago

6 0

Answer:

AB is parallel to A'B'.

DO,1/2 (1/2x, 1/2y) =

The distance from A' to the origin is half the distance from A to the origin.

Step-by-step explanation:

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The question is the picture thanks for helping

Vedmedyk [2.9K]

Answer:

Answer is option b)

Answer is given below with explanations.

Step-by-step explanation:

$a \: walking \: path \: is \: represented \: by \: \\ y = - 4x - 6 \\ 4x + y + 6 = 0 \\ given \: that \\ a \: new \: path \: will \: be \: built \: perpendicular \\ \: to \: \: the \: walking \: path \\ the \: equation \: of \: the \: line \: perpendicular \: to \\ 4x + y + 6 = 0 \: is \\ x - 4y + k = 0 \\ since \: it \: passes \: through \: ( - 4,10) \\ substitute \: x \: = - 4\: and \: y = 10 \: in \: required \: equation \\ - 4 - 4(10) + k = 0 \\ k = 44 \\ then \: the \: equation \: is \\ x - 4y + 44 = 0 \\ adding \: 4y \: on \: both \: sides \\ x + 44 = 4y \\ dividing \: by \: 4 \: on \: both \: sides \\ y = \frac{x}{4} + 11 \\ y = \frac{1}{4} x + 11 \\ so \: the \: answer \: is \: option \: b) \: \frac{1}{4} x + 11$