On a coordinate plane, polygon ghij translates 8 units to the left to form polygon g'h'i'j'. which of the following equations is not necessarily true?
a. gh = gh
b. g"g = 8 units
c. m
d. m

Write the following as a base and exponent

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?