Let's simplify step-by-step.<span><span><span>9<span>(<span><span>2x</span>−1</span>)</span></span>−<span>9x</span></span>−<span>18
</span></span>Distribute:<span>=<span><span><span><span><span><span><span>(9)</span><span>(<span>2x</span>)</span></span>+<span><span>(9)</span><span>(<span>−1</span>)</span></span></span>+</span>−<span>9x</span></span>+</span>−18</span></span><span>=<span><span><span><span><span><span><span>18x</span>+</span>−9</span>+</span>−<span>9x</span></span>+</span>−<span>18
</span></span></span>Combine Like Terms:<span>=<span><span><span><span>18x</span>+<span>−9</span></span>+<span>−<span>9x</span></span></span>+<span>−18</span></span></span><span>=<span><span>(<span><span>18x</span>+<span>−<span>9x</span></span></span>)</span>+<span>(<span><span>−9</span>+<span>−18</span></span>)</span></span></span><span>=<span><span>9x</span>+<span>−<span>27
</span></span></span></span>Answer:<span>=<span><span>9x</span>−<span>27</span></span></span>
Answer:
w = 13yd, l = 18yd
Step-by-step explanation:
let x be width, so x+5 = length
Perimeter is sum of all 4 sides, and since opposite sides equal in rectangle,
P = 2(l+w)
= 2(x+5 +x)
= 4x + 10
Since perimeter is give as 62yd, equation is
4x + 10 = 62
4x = 52
x = 13
The least number of classes needed for all the students to be registered in a class is 21 classes.
Step-by-step explanation:
I just answered this ...
the first thing we notice : the quadrilateral has 2 pairs of equally long sides with 2 angles being openly 90°.
so, we are dealing with a rectangle here.
we know that one pair of the sides (NK = LM) are 24 cm long.
and we know that KL:LM = 3:4.
that means that the pair KL = MN are the shorter sides of the rectangle. and their length is according to the ratio 3/4 of NK=LM.
3/4 × 24 = 18 cm
the area of that rectangle is therefore
18 × 24 = 432 cm²
