Find the equation of the line perpendicular to 2x + 3y = -5 and passing through (3, -5). Write the equation in standard form.

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Atheater wants to build movable steps that they can use to go on and off the stage. they want the steps to have enough space inside so they can also be used to store props. how much space is inside the steps?

You deposit $5000 each year into an account earning 3% interest compounded annually. how much will you have in the account in 30 years?