Which of the following sets of numbers could be the lengths of the sides of a triangle? a. 2, 4, 6 b. 4, 8, 2 c. 8, 3, 6 d. 12, 8, 3

Answer is C. 8, 3, 6

To answer this, you must know the Triangle Inequality Theorem.

The two shortest sides when added together, must be greater than the longest side.

A. 2 + 4= 6 which can't work since it equals the longest side of 6

B. 4 +2=6 The sum would be less than 8, which doesn't work

C. 6 +3 = 9 the sum is greater than 8, which makes it a triangle

D. 3 +8 = 11 11 is less than 12

idk im srry

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form