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1 year ago

determine whether the graph is connected or disconnected then determine how many components the graph has

Mathematics

1 answer:

DENIUS [597]1 year ago

6 0

The graph is connected because every two vertices of the graph are connected by a path.

The graph has 10 vertices, as can be seen in the next picture:

The graph has 9 edges, as can be seen in the next picture:

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Determine the value of y.<br> (-7,y) (14,-5)<br><br> A. 1.25<br> B. 2.5<br> C. 5<br> D. 10

Gnesinka [82]

It should be D, if -7x-2 is 14, then -5x-2 will be 10.

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4 years ago

What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?

Lorico [155]

Answer:

(0,5)

Step-by-step explanation:

Y intercept is where line touches y axis so x = 0.

(0,5) since it's only 5 and the others don't count.

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3 years ago

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stiv31 [10]

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3 years ago

lilavasa [31]

The count of the equilateral triangle is an illustration of areas

There are 150 small equilateral triangles in the regular hexagon

<h3>How to determine the number of equilateral triangle </h3>

The side length of the hexagon is given as:

L = 5

The area of the hexagon is calculated as:

$A = \frac{3\sqrt 3}{2}L^2$

This gives

$A = \frac{3\sqrt 3}{2}* 5^2$

$A = \frac{75\sqrt 3}{2}$

The side length of the equilateral triangle is

l = 1

The area of the triangle is calculated as:

$a = \frac{\sqrt 3}{4}l^2$

So, we have:

$a = \frac{\sqrt 3}{4}*1^2$

$a = \frac{\sqrt 3}{4}$

The number of equilateral triangles in the regular hexagon is then calculated as:

$n = \frac Aa$

This gives

$n = \frac{75\sqrt 3}{2} \div \frac{\sqrt 3}4$

So, we have:

$n = \frac{75}{2} \div \frac{1}4$

Rewrite as:

$n = \frac{75}{2} *\frac{4}1$

$n = 150$

Hence, there are 150 small equilateral triangles in the regular hexagon