Find the distance between the two points rounding to the nearest tenth (In decimal).​

approximately 8.9

Step-by-step explanation:

Regard (3, -2) and (7, 6) as the two acute angle vertices of a right triangle.  The horizontal leg of this triangle has the length (7 - 3) = 4, and the vertical leg 6 - (-2) = 8.  

Apply the Pythagorean Theorem to find the length of the diagonal connecting these two points.  This length is the distance between the two points:

d = √(4² + 8²) = √(16 + 64) = √80 + √16√5 = 4√5, or approximately 8.9

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.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c