Find the midpoint pq. then write an equation of the line that passes through the midpoint and is perpendicular to pq

p(-4,3), q(4,-1)

Step-by-step explanation:

Midpoint = (x₁+x₂/2, y₁+y₂/2)

               =(-4+4/2, 3-1/2)

               = (0/2 , 2/2) =  (0, 1)

Slope of PQ = y₂-y₁/x₂-x₁

                    = -1-3/4-[-4]

                   m₁ = -4/ 4+4 = -4/8 = -1/2

The required line is perpendicular to PQ

so slope of the required line be m₂

m₁*m₂ = -1

-1/2*m₂ = -1

       m₂ = -1 *2/-1 = 2

Slope m₂= 2 and it passes through midpoint (0, 1)

y - y₁ = m (x -x₁)

y - 1  = 2 *(x - 0)

    y -1 = 2x

         y = 2x + 1

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm