AB is a diameter and BR is chord of a circle centered at P. BR is produced to C. PC and AR intersect at T and PQ is perpendicular to BR. Calculate the length of BC if BQ is 24 mm and PT is 1/3 TC

Can someone me find the original price? the discount is 5% and the sale price is $68.40

Sandy is upgrading her internet service. fast internet charges $20 for installation and $52.45 per month. quick internet has free installation but charges $57.45 per month. part 1 out of 2 complete the equation that can be used to find the number of months after which the internet service would cost the same. use the variable x to represent the number of months of internet service purchased.

Find the vertex for the parabola given by the function ƒ(x) = −3x2 − 6x.