50 points! Tell whether the orthocenter is inside, on, or outside the triangle. Then find the coordinates of the orthocenter. Q(-1, 5), R(4, 3), S(-1, -2)

Step-by-step explanation:

Orthocenter is the intersection of altitudes.

We'll calculate the slopes of the two sides and their altitudes ad find the intersection.

Perpendicular slope:

Perpendicular line passes through S(-1, -2):

Perpendicular slope:

Perpendicular line passes through Q(-1, 5):

The intersection of the two lines is the orthocenter.

Solve the system of equations to get the coordinates of the orthocenter:

Find y-coordinate:

The orthocenter is (1, 3)

If we plot the points, we'll see it is inside the triangle

whatare you sayig

step-by-step explanation:

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.