Y - 5 = 0.5x2 + 6x - 3 How many x-intercepts does this have? update!!! the answer is 2

2 answers:

8 0

Y = 0.5x^2 + 6x + 2 (adding 5 to both sides of the original equation)

Discriminant b^2 - 4ac = 6^2 - 4 * 0.5 * 2 = 36 - 4 = 32

The discriminant is positive and not a perfect square so the equation has 2 x intercepts.

diamong [38]3 years ago

5 0

The answer is actually 2 because you have 0.5x (I think that's what it's supposed to be) and 6x.

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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.