3 years ago

What shows the rational expression written using the least common denominator?

Mathematics

1 answer:

worty [1.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

LCM of 4x² and x² is 4x²

(x+1)/4x² + (x+1)/x2

[(x+1) + 4(x+1)]/4x²

(x+1)/4x² + 4(x+1)/4x²

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3 years ago

In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not nec

steposvetlana [31]

Answer: 5

Step-by-step explanation:

Since $\overline{GH} \parallel \overline{DE}$ , by the corresponding angles theorem, $\angle FGH \cong \angle FDE, \angle FHG \cong \angle FED$ . This means $\triangle FGH \sim \triangle FDE$ by AA.

As corresponding sides of similar triangles are proportional,

$\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5$
However, as distance must be positive, we consider the positive solution, x=5.