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3 years ago

9

Which route must use all of the vertices of a vertex-edge graph? (Check all that apply.)

2 answers:

zlopas [31]3 years ago

4 0

An Euler path, in a graph or multi graph, is a walk through the graph which uses every edge exactly once. An Euler circuit is an Euler path which starts and stops at the same vertex. Our goal is to find a quick way to check whether a graph (or multi graph) has an Euler path or circuit.

hope it helps

blsea [12.9K]3 years ago

3 0

An Euler path, in a graph or multi graph, is a walk through the graph which uses every edge exactly once.

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

irga5000 [103]

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

$y = -16x^2 + 177x + 98$

It hits the ground when $y = 0$ , so we have to find x for which $y = 0$ , which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$y = -16x^2 + 177x + 98$

$-16x^2 + 177x + 98 = 0$

So

$a = -16, b = 177, c = 98$

$\bigtriangleup = 177^{2} - 4(-16)(98) = 37601$

$x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53$

$x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59$

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

4 0

3 years ago

Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).

Maru [420]

Answer:

(-6,6), (0,12), (4,8)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 2 --> 2(x, y)

Before-> After dilation

2(-3,3) = (-6,6)

2(0,6) = (0,12)

2(2,4) = (4,8)

Please leave a 'thanks' if this helps!

6 0

3 years ago

Jonas wants to paint the walls of his bedroom and the ceiling. The dimensions of his room are 7 feet by 12 feet by 8 feet.

sleet_krkn [62]

Answer:

The surface area that will be painted is 376 ft2.

7 0

2 years ago

Read 2 more answers

Is 8 x 6 =(4×6)+(4×6)true or false

creativ13 [48]

Yes 8*6=48 and 4*6+4*6=48

4 0

3 years ago

Read 2 more answers

Use a table to write a funtion

Lady bird [3.3K]

I see no table sorry

8 0

3 years ago