Solve the equation. 8a – 4a – 6a – 8 = 2a
2 answers:
First we have to simplify both sides of the equation.
<span><span><span><span><span><span><span>8a </span>+ </span>− <span>4a </span></span>+ </span>− <span>6a </span></span>+ </span>− 8 </span>= <span>2<span>a
</span></span><span><span>(<span><span><span>8a </span>+ <span>− <span>4a </span></span></span>+ <span>− <span>6a</span></span></span>) </span>+ <span>(<span>−8</span>) </span></span>= <span>2<span>a < We combine the like terms here.
</span></span><span><span><span>−<span>2a </span></span>+ <span>− 8 </span></span>= <span>2a</span></span><span><span><span>−<span>2a </span></span>− 8 </span>= <span>2<span>a
Now we must subtract 2a from both sides!
</span></span></span><span><span><span><span>−<span>2a </span></span>− 8 </span>− <span>2a </span></span>= <span><span>2a </span>− <span>2a</span></span></span><span><span><span>−<span>4a </span></span>− 8 </span>= <span>0
Then we add 8 to both sides.
</span></span><span><span><span><span>−<span>4a </span></span>− 8 </span>+ 8 </span>= <span>0 + 8</span></span><span><span>−<span>4a </span></span>= 8
Finally we divide both sides by -4.
</span>
<span>a = -2.</span><span>
</span>
<span><span><span><span><span><span><span>8a </span>+ </span>− <span>4a </span></span>+ </span>− <span>6a </span></span>+ </span>− 8 </span>= <span>2<span>a
</span></span><span><span>(<span><span><span>8a </span>+ <span>− <span>4a </span></span></span>+ <span>− <span>6a</span></span></span>) </span>+ <span>(<span>−8</span>) </span></span>= <span>2<span>a < We combine the like terms here.
</span></span><span><span><span>−<span>2a </span></span>+ <span>− 8 </span></span>= <span>2a</span></span><span><span><span>−<span>2a </span></span>− 8 </span>= <span>2<span>a
Now we must subtract 2a from both sides!
</span></span></span><span><span><span><span>−<span>2a </span></span>− 8 </span>− <span>2a </span></span>= <span><span>2a </span>− <span>2a</span></span></span><span><span><span>−<span>4a </span></span>− 8 </span>= <span>0
Then we add 8 to both sides.
</span></span><span><span><span><span>−<span>4a </span></span>− 8 </span>+ 8 </span>= <span>0 + 8</span></span><span><span>−<span>4a </span></span>= 8
Finally we divide both sides by -4.
</span>
<span>a = -2.</span><span>
</span>
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Answer:
0.24 = 24 hundredths, not 24
Step-by-step explanation:
The area of the rectangular patio to be painted is: B. A = (x + 20)(x + 10) - 12.
<h3>What is a Rectangle?</h3>A rectangle, by definition, is a quadrilateral with two pairs of opposite that have the equal lengths. All four angles of a rectangle are right angles (90 degrees).
<h3>What is the Area of a Rectangle?</h3>The area of a rectangle = (length of rectangle)(width of rectangle).
Given the following parameters for the patio and the bench:
- Length of rectangular patio = x + 20
- Width of rectangular patio = x + 10
- Length of rectangular bench = 6
- Width of rectangular bench = 2
Area to be painted = area of rectangular patio - area of rectangular bench
Area of rectangular patio = (x + 20)(x + 10)
Area of rectangular bench = (6)(2) = 12
Area to be painted = (x + 20)(x + 10) - 12
The answer is: B. A = (x + 20)(x + 10) - 12.
Learn more about the area of rectangle on:
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