Can you draw an equilateral right triangle? Explain using precise mathematical language.

No.

Step-by-step explanation:

An equilateral triangle is made when all three sides of the triangle are congruent, which means that the angles will also be congruent. A right triangle is defined by its 90° angle. The total angle measures of a triangle add up to 180°. This means that the other two angles have to add up 90° because one measure is already half of 180. Since the measures have to add up to 90, they won't each be equal to 90. This means that the triangle won't be equilateral. (or, you can't have three 90° angles in a triangle because that would pass the 180° measure)

Also, the use of the Pythagorean theorem shows that the sum of the legs squared is equal to the hypotenuse. Thus, the hypotenuse in a right triangle will always be the longest side, which means that it can't be an equilateral triangle.

don't know sorry bru

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