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

about 0.75 hours

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).