Apiece of cloth is folded into a square with a side length measuring x inches. when it is unfolded, it has an area of x2 + 27x + 162 square inches. which could be the dimensions of the rectangular piece of cloth when it is unfolded? remember, the area of a rectangle can be determined using the formula a = lw. a).length = (x + 9) inches and width = (x + 3) inches b).length = (x − 3) inches and width = (x − 9) inches c).length = (x + 18) inches and width = (x + 9) inches d).length = (x − 9) inches and width = (x − 18) inches

Find the solution of system of equation y= x-4 y=4x+2

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?