The length of a rectangle is twice its width. The perimeter of the rectangle is 15 inches. What are the measurements of the lengths and width of the rectangle?

Step-by-step explanation:

Let the breadth (b) of a rectangle be x

Then Length (L) = 2x

Now

Perimeter of the rectangle = 15 inches

Or, 2(L + b) = 15

2 ( 2x + x) = 15

2* 3x = 15

6x = 15

x = 15 / 6

x = 2.5 inch

Also Now

Length (L) = 2*2.5 = 5 inches

Breadth (b) = 2.5 inches

Hope it will help :)

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

x^3-4x^2+3x-2/x^2+1

step-by-step explanation:

factor the numerator and denominator and cancel the common factors