In the coordinate plane the vertices of rst are r 6 -1, s 1 -4, t -5,6 prove that rst is a right triangle. state the coordinates of p such that quadrilateral rstp is a rectangle.

a) view the graph

b) p = (0,9)

Step-by-step explanation:

Data

r (6,-1); s (1-4); t (-5,6)

To prove that r, s, t form a right triangle we must find the their slopes to later verify if m1 * m2 = -1

we have that

now we must find the coordinates of p such that the rstp quadrilateral form a rectangle .

p = r-s+t ⇒ (6,-1)-(1,-4)+(-5,6) = (6-1-5,-1+4+6) ⇒

p = (0,9)

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol