The width of a rectangle is 12 less than twice the length, and the area of the rectangle is 270m^2 what is the length of the rectangle?

15m

Step-by-step explanation:

Well, this can be shown using an equation:

2x- 12 = equation for width

x = equation for length

The area for a rectangle is width x length so:

(2x - 12) * x = 270

Make the equation a quadratic:

2x² - 12x - 270 = 0

(÷2) = x² - 6x - 135

Now you need to find what values multiply to -135 and add to -6, in this case it is +9 and -15

(x + 9)(x - 15)

So x = -9 and x = 15

answer is a

step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950