Look at the right triangle below. Find the lengths of a and b using the given coordinates of the endpoints of the hypotenuse

9514 1404 393

  a = 4

  b = 6

Step-by-step explanation:

The given end points are (2, 1) and (8, 5).

The value of 'a' is the difference of the y-coordinates: 5 - 1 = 4.

The value of 'b' is the difference of the x-coordinates: 8 - 2 = 6.

The lengths a and b are 4 and 6, respectively.

Additional comment

The Pythagorean theorem tells you the length of the hypotenuse is ...

  √(4² +6²) = √52 = 2√13

i dont know

step-by-step explanation:

(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