After the point B(2, 3) is translated along the vector <5, 7> the image will be located at ?

Mathematics

1 answer:

schepotkina [342]3 years ago

5 0

Answer:

(7, 10)

Step-by-step explanation:

The vector has an x component of 5 and a y component of 7, so we can add each of these components to the coordinates of B to get its image:

B(2,3)

B'(2 + 5, 3 + 7) = B'(7, 10)

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$-2x-y=-9 \\
5x-2y=18 \\ \\
\hbox{solve the first equation for y:} \\
-2x-y=-9 \ \ \ |+2x \\
-y=-9+2x \ \ \ |\times (-1) \\
y=9-2x \\ \\
\hbox{substitute 9-2x for y in the second equation:} \\
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