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3 years ago

Tell whether each figure is a polygon. if it is a polygon, name it by the number of each sides.

Mathematics

1 answer:

olasank [31]3 years ago

4 0

Answer:

We know that a closed 2D shape with 5 sides and 5 angles is called the Pentagon.

Therefore, the given polygon figure represents the Pentagon.

Step-by-step explanation:

It is clear that the given figure contains:

5 sides

5 angles

A closed 2D shape

We know that a closed 2D shape with 5 sides and 5 angles is called the Pentagon.

Therefore, the given polygon figure represents the Pentagon.

Please also note that the sum of interior angles in a Pentagon is 540°

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Find a vector equation and parametric equations for the line through the point (7,4, 5) and parallel to the vector 3i 2j-k .

aleksley [76]

Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k

parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t

Step-by-step explanation: The vector equation is a line of the form:

r = $r_{0}$ + t.v

where

$r_{0}$ is the position vector;

v is the vector;

For point (7,4,5):

$r_{0}$ = 7i + 4j + 5k

Then, the equation is:

r = 7i + 4j + 5k + t(3i + 2j - k)

r = (7 + 3t)i + (4 + 2t)j + (5 - 5t)k

The parametric equations of the line are of the form:

x = $x_{0}$ + at

y = $y_{0}$ + bt

z = $z_{0}$ + ct

So, the parametric equations are:

x = 7 + 3t

y = 4 + 2t

z = 5 - 5t

4 0

3 years ago

X squared minus 7x plus 10 equals 0

joja [24]

X² - 7x + 10 = 0

Let's factor out the equation first.

x² - 7x + 10

x -2
x -5

This factoring of (x-2)(x-5) fit the equation.

(x-2)(x-5) = 0

One of the factors must equal 0 as to equal zero.

Either x - 2 = 0 or x - 5 = 0

x - 2 = 0
x = 2

x - 5 = 0
x = 5

The two answers are x = 2 or x = 5. Hope this helps!

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3 years ago

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3 years ago

What's the answer????

Svetllana [295]

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3 years ago