Polygon abcd is plotted on a coordinate plane. if the polygon translates 3 units to the left and 1 unit down, the length of diagonal is units. if the polygon translates 3 units further to the left and four units down, the length of diagonal .

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

the bolded word " farsighted" could be replaced with visionary.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: