A \greenD{12\,\text{cm} \times 2\,\text{cm}}12cm×2cmstart color #1fab54, 12, start text, c, m, end text, times, 2, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{8\,\text{cm}}8cmstart color #11accd, 8, start text, c, m, end text, end color #11accd.
What is the area of the shaded region?

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857

can i see the following ?

step-by-step explanation:

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