Find the distance on the coordinate system from the point (-3,4)to the point (8,-7)find

Let's say point A is (-3,4) and point B is (8,-7).

The x-distance from A to B is -3 to 8. This is equivalent to the expression . So the x-distance is 11.

The y-distance from A to B is 4 to -7. This is equivalent to the expression . So the y-distance is 13. We take the absolute value because distance is always positive, and is never negative.

The x- and y-distances create a right triangle. So, we can apply the Pythagoren Theorem: , where and are the shorter sides, and is the longer side of the triangle.

the x- and y-distances are and . We want to find the value of c, since that is the distance between the two points. So, plugging the known values into the Pythagorean Theorem,

So, the distance between the two points is roughly 16.

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is