The triangular sail on Esther's sailboat measures 10.5 feet, 14 feet and 17.5 feet on its three

sides. Is the sail a right triangle? Explain.

The sail is a right triangle.  

Step-by-step explanation:

We are given the following in the question.

Measure of triangular sales are:

10.5 feet, 14 feet and 17.5 feet

We have to check whether it is a right angled triangle or not.

Pythagoras theorem:

According to this theorem the sum of of squares of two sides of triangle is equal to the square of hypotenuse of triangle. The hypotenuse is the longest side of the triangle.

Verifying:

Thus, the measurement of sail follows the Pythagoras theorem.

Hence, the sail is a right triangle.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

0.038

step-by-step explanation: