The ___________ formula measures the length of a line segment or the distance between two points.

1 answer:

8 0

The distance formula measures the length of a line segment or the distance between two points.

The hypotenuse is one of the two sides that forms the right angle of a triangle.

The altitude of a triangle is a line segment that extends from the vertex and is perpendicular to the side opposite the vertex.

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The standard form of the equation for a quadratic function is, with he vertex of the graph of the function at the point (p,q). t

ludmilkaskok [199]

Answer:

p = ½ (x₁ + x₂)

q = a (x₁x₂ − ¼ (x₁ + x₂)²)

Step-by-step explanation:

y = a (x − x₁) (x − x₂)

Expand:

y = a (x² − x₁x − x₂x + x₁x₂)

y = a (x² − (x₁ + x₂)x + x₁x₂)

Distribute a to the first two terms:

y = a (x² − (x₁ + x₂)x) + ax₁x₂

Complete the square:

y = a (x² − (x₁ + x₂)x + ¼(x₁ + x₂)²) + ax₁x₂ − ¼ a(x₁ + x₂)²

y = a (x − ½ (x₁ + x₂))² + a (x₁x₂ − ¼ (x₁ + x₂)²)

Therefore:

p = ½ (x₁ + x₂)

q = a (x₁x₂ − ¼ (x₁ + x₂)²)

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Please help!!! :( i will give brainliest answer

Rasek [7]

Answer:

Step-by-step explanation:

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$\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}
\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
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t=years\to &8
\end{cases}
\\\\\\
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