3(x + 1) - 2x = -6 |use distributive property: a(b + c) = ab + ac
3x + 3 - 2x = -6
x + 3 = -6 |subtract 3 from both sides
x = -9
Answer:
(x, y, z) = (-1, -4, -5)
Step-by-step explanation:
(x, y, z) = (Dx, Dy, Dz)/D = (-6, -24, -30)/6
(x, y, z) = (-1, -4, -5)
Let's solve your equation step-by-step.
5=(−4)(8)+b
Step 1: Simplify both sides of the equation.
5=(−4)(8)+b
5=−32+b
5=b−32
Step 2: Flip the equation.
b−32=5
Step 3: Add 32 to both sides.
b−32+32=5+32
b=37
If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.
<u>Given the following data:</u>
- Width of rectangle = 6 meters
- Length of rectangle = 8 meters
To determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.
Note: The diagonal side of the rectangular pool represents the hypotenuse.
Mathematically, Pythagorean's theorem is given by the formula:

Substituting the given parameters into the formula, we have;

Hypotenuse = 10 meters.
Read more here: brainly.com/question/18890335