Which is the graph of linear inequality 6x + 2y > –10? image for option 1 image for option 2 image for option 3 image for option 4

we have

Isolate the variable y

Subtract both sides

Divide by both sides

The equation of the line of this inequality is

The slope is negative and is equal to

The y-intercept is the point ----> value of y when the value of x is equal to zero

The x-intercept is the point ----> value of x when the value of y is equal to zero

The solution of the inequality is the shaded area above the dotted line

Using a graphing tool

see the attached figure

The answer in the attached figure

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b