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valkas [14]
3 years ago
7

Describe one way in which the usage of vertex-edge graphs apply to you

Mathematics
1 answer:
LuckyWell [14K]3 years ago
5 0

Answer:

you will be able to create and representations the vertex - edge graphs.

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The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

5 0
3 years ago
Please help me asap<br> Given the triangles are similar, find x.
Nadusha1986 [10]

Answer:

Uy

Step-by-step explanation:

7 0
3 years ago
The concession stand at a football game sells hot dogs and drinks. It costs $4.25 for 2 hot dogs and 1 drink. It costs $7.00 for
Sergio [31]

Answer:

<em>h </em>= $1.50

<em>d</em> = $1.25

Step-by-step explanation:

$1.50 + $1.50 = $3 + $1.25 = $4.25

$1.50 + $1.50 + $1.50 = $4.50 + $1.25 + $1.25 = $7

4 0
3 years ago
Read 2 more answers
The school cafeteria serves tacos every 60 and cheeseburgers every eighth day.If tacos and cheeseburgers are both on today's men
Ad libitum [116K]

Answer:

120 days

Step-by-step explanation:

Tacos are served every 60 days.

Cheeseburgers are served every 8 days.

Since, both Cheeseburgers and Tacos are served today, the next day on which both will be served is gotten by finding the Lowest Common Multiple of 60 and 8.

To find the LCM,

First, we express the numbers as a product of their prime factors.

60= 2X2X3X5=2²X3X5

8=2X2X2=2³

Next, we take each of the term with the highest power and multiply.

L.C.M = 2³X3X5=120

After 120 days, Cheeseburgers and Tacos will be served on the same day.

5 0
3 years ago
How do you simplify 16^2/24^7
quester [9]

Answer:

1/(2¹³·3⁷)

Step-by-step explanation:

                                                16²/24⁷

Factor the terms                  = (2⁴)²/(8×3)⁷

Apply the Power Rule        = 2⁸/(2³×3)⁷

Apply the Power Rule        = 2⁸/(2²¹ × 3⁷)

Apply the Quotient Rule    = 1/(2¹³·3⁷)

5 0
3 years ago
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