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3 years ago

Using Euler’s Formula (F + V = E + 2), find the number of edges. Faces: 25 Vertices: 17 Edges: ?

Mathematics

2 answers:

Olin [163]3 years ago

6 0

F + V = E + 2

25 + 17 = E + 2

42 = E + 2

42 - 2 = E

40 = E

E = 40

Edges: 40

kirza4 [7]3 years ago

3 0

F + V = E + 2
F = 25
V = 17

25 + 17 = E + 2
42 = E + 2
42 - 2 = E
40 = E <== there are 40 edges

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Can you break down how to solve the problem ?

Montano1993 [528]

Answer:

A. y = $\frac{-5x}{2}$ - 1

Step-by-step explanation:

Given parameters:

Equation of the line:

5x + 2y = 12

Coordinates = -2, 4

Unknown:

The equation of the line parallel to this line = ?

To solve this problem, first, we need to find the slope of the given line.

Every linear equation have the formula: y = mx + c

m is the slope of the line, c is the y- intercept

5x + 2y = 12

Express this equation as y = mx + c

2y = -5x + 12

y = $\frac{-5}{2}x$ + 6

The slope of this line is $\frac{-5}{2}$

Now, any line that is parallel to another will not cut or cross it at any point. This simply implies they have the same slope.

Slope of the line parallel is $\frac{-5}{2}$

Our new line will also take the form y=mx + c,

Coordinates = -2, 4, x = -2 and y = 4

m is $\frac{-5}{2}$

Now let us solve for C, the y-intercept;

4 = - 2 x $\frac{-5}{2}$ + C

4 = 5 + C

C = -1

The equation of the line is therefore;

y = $\frac{-5x}{2}$ - 1

6 0

2 years ago

When Anita planted a large bush in her garden, it was 5 feet tall. Now it is 40% taller. How tall is the bush now?

goblinko [34]

Answer:

7 feet

Step-by-step explanation:

the new height of the bush can be represented in percentage form as 100% + 40% = 140% = 1.40

1.40 x 5 = 7 feet

Method 2

find 40% of 5 feet

0.4 x 5 = 2

Add 5 + 2 = 7 feet

7 0

2 years ago

2(3x+1)≤20 and 4(x−1)<2.

JulsSmile [24]

Answer:

this Answer is

Step-by-step explanation:

2(3x+1) ≤ 20

6x+1≤20

6x≤19

x≤19/6

4(x−1)<2

4x-1<2

4x< 3

x< 3/ 4

8 0

1 year ago

At a local grocery store, bananas were on sale. Green bananas were priced at $14.00 and yellow bananas were priced at $12.00. Sa

garri49 [273]

Answer:

Sabrina bought 6 yellow bananas and 3 green bananas

Step-by-step explanation:

Let

Green bananas = x

Yellow bananas = y

Green bananas = $14.00

Yellow bananas = $12.00

Total cost = $114.00

x + y = 9 (1)

14x + 12y = 114 (2)

From (1)

x = 9 - y

Substitute x = 9 - y into (2)

14(9 - y) + 12y = 114

126 - 14y + 12y = 114

- 14y + 12y = 114 - 126

-2y = -12

Divide both sides by -2

y = -12 / -2

= 6

y = 6

Substitute y = 6 into (1)

x + y = 9

x + 6 = 9

x = 9 - 6

= 3

x = 3

Sabrina bought 6 yellow bananas and 3 green bananas

3 0

2 years ago

Which equation has a constant of proportionality equal to 2?

NemiM [27]

Answer:

Step-by-step explanation:

The equation $y=kx$ describes the proportional relationship between variables x and y. In this equation, k is the coefficient of proportionality.

Consider all options:

A. For the equation

$y=\dfrac{10}{5}x,$

the coefficient of proportionality is

$k=\dfrac{10}{5}=2$

B. For the equation

$y=\dfrac{2}{2}x,$

the coefficient of proportionality is

$k=\dfrac{2}{2}=1$

C. For the equation

$y=\dfrac{2}{4}x,$

the coefficient of proportionality is

$k=\dfrac{2}{4}=\dfrac{1}{2}$

D. For the equation

$y=\dfrac{22}{22}x,$

the coefficient of proportionality is

$k=\dfrac{22}{22}=1$

5 0

2 years ago