Let's solve your equation step-by-step.<span><span>
6<span>(<span>x−1</span>)</span></span>=<span>9<span>(<span>x+2</span>)</span></span></span>
Step 1: Simplify both sides of the equation.<span><span>
6<span>(<span>x−1</span>)</span></span>=<span>9<span>(<span>x+2</span>)</span></span></span><span>
Simplify:</span><span><span><span><span>
(6)</span><span>(x)</span></span>+<span><span>(6)</span><span>(<span>−1</span>)</span></span></span>=<span><span><span>(9)</span><span>(x)</span></span>+<span><span>(9)</span><span>(2)</span></span></span></span>(Distribute)<span><span><span><span>
6x</span>+</span>−6</span>=<span><span>9x</span>+18</span></span><span><span><span>
6x</span>−6</span>=<span><span>9x</span>+18</span></span>
Step 2: Subtract 9x from both sides.<span><span><span><span>
6x</span>−6</span>−<span>9x</span></span>=<span><span><span>9x</span>+18</span>−<span>9x</span></span></span><span><span><span>
−<span>3x</span></span>−6</span>=18</span>
Step 3: Add 6 to both sides.<span><span><span><span>
−<span>3x</span></span>−6</span>+6</span>=<span>18+6</span></span><span><span>
−<span>3x</span></span>=24</span>
Step 4: Divide both sides by -3.<span><span><span>
−<span>3x</span></span><span>−3</span></span>=<span>24<span>−3</span></span></span><span>
x=<span>−8</span></span><span>
Answer: x= -8
-Hope I helped.</span>
Answer:
Area: 15cm^2
Base: 5cm
Step-by-step explanation:
The volume of a Rectangular Prism is given as:
V= wlh
Where W = Base
L = Length
H= Height
From the question:
The Volume V = 45cm^3
The Height H = 3
But, Area = Length * Width
Therefore :
Volume V = Area * Height
45 = A * 3
A = 45/3
A= 15cm^2
Solving for Base:
Area = height * Base
15 = 3 * Base
Base = 15/3
Base = 5cm
Answer:
-7,0,5,8
Step-by-step explanation:
Just try to visualize it. If a function is reflected across the x-axis, that means that positive values are flipped and become negative and negative values become positive.
So, g(x)=-f(x).
The simple rules in adding equation is
- simplify like terms first
- then get one variable on one side of the equation
- then solve the rest
Answer:126
Step-by-step explanation:
