ΔSTU is located at S (−3, 0), T (0, −3), and U (3, −3). Which statement correctly classifies ΔSTU?

ΔSTU is a scalene triangle.
ΔSTU is an isosceles triangle.
ΔSTU is an equilateral triangle.
ΔSTU is a right triangle.

ΔSTU is a scalene triangle

Step-by-step explanation:

Given triangle ∆STU with location of its vertices at S (−3, 0), T (0, −3), and U (3, −3). Before we can classify the type of the triangle, we need to know the value of each side of the triangle by taking the distance between the points.

Distance between two points is expressed as shown:

D = √(x2-x1)²+(y2-y1)²

For side ST,

S(-3,0) and T(0,-3)

x1 = -3, y1 = 0, x2 = 0, y2 = -3

|ST| = √{0-(-3)}²+(-3-0)²

|ST| = √3²+3²

|ST| = √18

For side SU:

S(-3,0) and U(3,-3)

x1 = -3, y1 = 0, x2 = 3, y2 = -3

|SU| = √{3-(-3)}²+(-3-0)²

|SU| = √6²+3²

|SU| = √45

For side TU:

T(0,-3) and U(3,-3)

x1 = 0, y1 = -3, x2 = 3, y2 = -3

|TU| = √{3-0}²+(-3-(-3))²

|TU| = √3²+0²

|TU| = √9

|TU| = 3

Since all the sides of the triangle are different, therefore the ∆STU is a scalene triangle

the other person is  right :)

Step-by-step explanation:

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d