2 years ago

What is -6(a + 8) simplified?

Mathematics

2 answers:

VladimirAG [237]2 years ago

8 0

Answer:

-6a - 48

Step-by-step explanation:

distribute

-6 x a = -6a

-6 x 8 = -48

put the answer together

-6a - 48

raketka [301]2 years ago

4 0

Answer:

-6a-48

Step-by-step explanation:

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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.