4) a line segment has endpoints at (-3,-5) and
(6, 1). in which quadrant does the midpoint of
the segment lie?
a. i
b. ii
c. iii
d. iv

D

Step-by-step explanation:

To find the midpoint (x,y) we simple find the averages of the x and y coordinates of the points given. That means:

We sum the x coordinates of both the points and divide by 2, that the midpoint's x coordinate, AND

We sum the y coordinates of both the points and divide by 2, that's the midpoint's y coordinate,

Hence,

x = (-3+6)/2 = 3/2

y = (-5+1)/2 = -2

The midpoint is (3/2, -2)

** If x point is positive and y point is negative, this point will fall on 4th quadrant.

Answer is D

answer: a.   one is a factor of every whole number since every number is divisible by itself.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is