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evablogger [386]
3 years ago
7

Write the definitions. Then, answer the questions at the end. ( the last two)

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Height of a triangle: The perpendicular line dropped onto its base from the corner opposite the base.

Parallelogram: Shapes that have four sides with two pairs of sides that are parallel

Perpendicular: A straight line at a 90° angle given to a  line, plane, or any surface.

Polygon: A shape with at least three straight sides and angles,  typically five or more.

Origin: The point or place where something begins or starts.

Triangle: A shape with three straight sides and three angles

Vertex: Each angular point of a polygon, polyhedron, or other figure/ shape.

What is the formula for a parallelogram?

Area=Base*Height

What is the formula for a triangle?

Area= Height*Base/2

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What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
Pavel [41]

\boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}

<h2>Explanation:</h2>

Using the quadratic formula:

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ Here: \\ \\ f(x) = x^2 + 5x + 5 \\ \\ \\ So: \\ \\ a=1 \\ \\ b=5 \\ \\ c=5 \\ \\ \\ x=\frac{-5 \pm \sqrt{5^2-4(1)(5)}}{2(1)} \\ \\ x=\frac{-5 \pm \sqrt{25-20}}{2} \\ \\ x=\frac{-5 \pm \sqrt{5}}{2} \\ \\ \\ Two \ solutions: \\ \\ \boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}

<h2>Learn more:</h2>

Quadratic functions: brainly.com/question/12164750

#LearnWithBrainly

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Step-by-step explanation:

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PIT_PIT [208]

Now to solve this problem, all we have to remember is the formula for calculating the linear speed given the radial speed, that is:

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where,

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w = is the radial velocity (must be in rad per time) = 7200 rev per minute

 

Calculating for v:

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v = 56,548.67 inches / minute

 

Converting to miles per hour:

v = 56,548.67 inches / minute (1 mile / 63360 inches) (60 min / hour)

<span>v = 53.55 mile / hour</span>

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