Solve. 7x−6=8+5x Enter your answer in the box. x =

x = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

7x - 6 = 8 + 5x

Step 2: Solve for x

Subtract 5x on both sides:                    2x - 6 = 8Add 6 to both sides:                              2x = 14Divide 2 on both sides:                          x = 7

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    7(7) - 6 = 8 + 5(7)Multiply:                               49 - 6 = 8 + 35Subtract/Add:                      43 = 43

Here we see that 43 does indeed equal 43.

∴ x = 7 is a solution of the equation.

The perimeter of the kite WXYZ is 33.94 square units

Step-by-step explanation:

Step 1; First we plot the points W, X, Y, Z on the graph. We need to find the distance between the opposite sides i.e W and Y, X and Z. To find the distance between W and Y, X and Z we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

So for W (-3, 3) and Y (4, -4) where W is (x1, y1) and Y is (x2, y2).

Distance = √(4 - (-3))² + (-4 -3)² = √49 + 49 = √98 = 9.899.

Distance between X (2, 3) and Z (-3, -2) where X is (x1, y1) and Z is (x2, y2).

Distance = √(-3 -2)² + (-2 -3)² = √25 + 25 = √50 = 7.071.

Step 2; The parameter of a kite is given by 2 times the sum of the two distances between opposite sides.

Parameter = 2 × (9.899 + 7.071) = 2 × 16.97 = 33.94 square units.