The sum of 3 consecutive integers is 144, find the integers.

Our three consecutive integers can be represented as

X → first integer

X + 1 → second integer

X + 2 → third integer

If the sum of our three consecutive integers is 144, our equation will read...

X + X + 1 + X + 2 = 144

Now, we can simplify on the left. Once we simplify, our equation will now read

3x + 3 = 144

      -3     -3   ← subtract 3 from both sides

       3x = 141  ← divide both sides by 3

       X = 47

X → first integer 47

X + 1 → second integer 48

X + 2 → third integer 49

Therefore, the 3 consecutive integers are 47, 48, and 49.

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu