[5 points] Watch the instructional video Factoring Trinomials - With Algebra Tiles and then examine the algebra tile rectangle at right.
Write an equation showing that the area is equal to the product
of its side length factors (e. g. 8x2 - 10x - 3 = (2x - 3)(4x + 1)).
(Hint: Factor the trinomial by finding the lengths of the sides of the
rectangle.)

The value √10 and √15 are plotted on the number line

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?