Determine the type of boundary line and shading for the graph of the inequality 5x + y greater than or equal to −10. (5 points) select one: a. dashed line with shading on the side that includes the origin b. solid line with shading on the side that does not include the origin c. dashed line with shading on the side that does not include the origin d. solid line with shading on the side that includes the origin

The correct answer is d. Solid line with shading on the side that includes the origin

We can tell this for two reasons. Firstly, since it is "greater than or equal to" we use a solid line. If it were just "greater than" than we would have used a dotted line.

Secondly, to tell if the origin should be shaded is by plugging in (0,0) and seeing if it is a true statement. If it is true, it is shaded.

5x + y ≥ -10

5(0) + 0 ≥ -10

0 + 0 ≥ -10

0 ≥ -10 (TRUE)

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.