<span>x=<span><span>(<span>x+1</span>)</span><span>(<span>x+y</span>)
</span></span></span>Step 1: Flip the equation.<span><span><span><span><span>x2</span>+<span>xy</span></span>+x</span>+y</span>=x
</span>Step 2: Add -x to both sides.<span><span><span><span><span><span>x2</span>+<span>xy</span></span>+x</span>+y</span>+<span>−x</span></span>=<span>x+<span>−x</span></span></span><span><span><span><span>x2</span>+<span>xy</span></span>+y</span>=0
</span>Step 3: Add -x^2 to both sides.<span><span><span><span><span>x2</span>+<span>xy</span></span>+y</span>+<span>−<span>x2</span></span></span>=<span>0+<span>−<span>x2</span></span></span></span><span><span><span>xy</span>+y</span>=<span>−<span>x
2</span></span></span>Step 4: Factor out variable y.<span><span>y<span>(<span>x+1</span>)</span></span>=<span>−<span>x2</span></span></span>
Step 5: Divide both sides by x+1.<span><span><span>y<span>(<span>x+1</span>)</span></span><span>x+1</span></span>=<span><span>−<span>x2</span></span><span>x+1</span></span></span><span>y=<span><span>−<span>x2</span></span><span>x+1
</span></span></span><u>So the answer is: y= -x^2/ x+1</u><span><span><span /></span></span><span><span><span /></span></span>
Recall that a rhombus is a particular kind of parallelogram: the length you are looking for will be half of the parallelogram's height.
First, find the second diagonal of the rhombus:
d₂ = 2·A / d₁
= 2·480 / 48 *we transformed the units of measurement from dm to cm
= 20 cm
Now, consider the small triangle rectangle formed by the side of the rhombus and the halves diagonals. You can apply the Pythagorean theorem in order to find the side:
s = √[(d₁ /2)² + (d₂ / 2)²]
=√[(48 / 2)² + (20 / 2)²]
= 26 cm
Now, the side of the rhombus is the base of the parallelogram, therefore:
h = A / s
= 480 / 26
= 18.46 cm
The distance between <span>the point of intersection of the diagonals and the side of the rhombus will be:
</span><span>18.46 </span>÷ 2 = 9.23 cm
Answer:
0.8
Step-by-step explanation:
We begin with the expression:
First, we need to convert the fractions into decimals to make this easier.
and
Once we have this, we can simplify it
7(2x+3)
=14x+21 hope it helps