A triangle has sides equal to 3, 4, and 5. Which statement regarding the triangle is correct?

A. The triangle is an equilateral triangle.

B. The triangle is an isosceles triangle.

C. The triangle is an obtuse triangle.

D. The triangle is a right triangle

D

Step-by-step explanation:

If you use the Pathagorean theorum where + = and plug in the number you were given, you get + =  or 9 + 16 = 25 which is correct.

So this has to be a right triangle.

You can also eliminate answer A because you already know none of the sides are equal so it can't be equilateral.

You can eliminate answer B because you already know that no two sides have an equal length so it can't be defined as isosceles.

You can eliminate answer C because if it were obtuse, the 3rd side (5) would have to be a lot longer.

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