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1 year ago

Complete the following:

1 answer:

5 0

1) A mathematical ratio is known as the golden ratio. It is frequently found in nature, and when employed in a design, it encourages compositions that look organic and natural and are visually appealing.

2) The algebraic form of golden ratio is root of x2-x-1 = 0

3) The golden ratio number is approximately equal to 1.618

4) When a line is split into two equal sections, the sum of the two parts, (a) + (b), divided by (a), equals 1.618, and this is known as the Golden Ratio

5) When designing forms, logos, layouts, and other things, this formula might be useful. By dividing each number in the Fibonacci series by its direct predecessor, the golden ratio is obtained. Mathematically speaking, the quotient F(n)/F(n-1) will become closer to the limit 1.618 for rising values of n if F(n) describes the nth Fibonacci number. The golden ratio is a more popular name for this restriction.

Learn more about golden ratio here: brainly.com/question/2263789

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Which statements about the hyperbola are true? Check all that apply. A. There is a focus at (0,−10). B. There is a focus at (0,

hichkok12 [17]

Answer:

A. There is a focus at (0,−10).

Step-by-step explanation:

Assume the hyperbola is like the one below.

The hyperbola is vertical and centred on the y-axis, so its general equation is

$\dfrac{y^{2}}{a^{2}} - \dfrac{x^{2}}{b^{2}} = 1$

The vertices of your parabola are (0,±8) so a = 8.

The covertices are (±6,0), so b = 6.

Calculate c

$\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\8^{2} + 6^{2} & = & c^{2}\\64 + 36 & = & c^{2}\\100 & = & c^{2}\\c & = & \mathbf{10}\\\end{array}$

A. Foci

The foci are at (0, ±c) = (0, ±10)

TRUE. There is a focus at (0,-10).

B. Foci

The foci are at (0,±10).

False. There is no focus at (0,12)

C. and D. Asymptotes

The equations for the asymptotes are

$y = \pm\dfrac{a}{b}x = \pm\dfrac{8}{6}x = \pm\dfrac{4}{3}x$

So, y = ±x are not asymptotes.

False.

E. and F. Directrices

The equations of the directrices are

y = ±a²/c = ±64/10 = ±6.4

y = 6.4 is a directrix.

E is false. x = cannot be a directrix

F is uncertain. Your equation for the directrix is incomplete.

3 0

3 years ago

Pls help 10 minutes left to submit everything is on the image below

vovikov84 [41]

Answer:

a. 5

b. 1

c. 132

d. -2

Step-by-step explanation:

a. The square root of 4 is 2, the absolute value of -3 is 3. 2 + 3 = 5

b. 4 - (-3) / -7 = 7/ -7 = 1

c. 2 * 4^3 = 128 + (-3) - (-7) = 132

d. 2 (-7 + 3) = -8, square root to the third power of -8 is -2

I hope this helped, please mark Brainliest, thank you!!

6 0

3 years ago

A car is said to get 25 miles per gallon on a highway, but this value can fluctuate by 6 miles per gallon, at most. Which of the

Pepsi [2]

Answer:

$| x1 -25\ | \leq\ 6$ is the correct answer to the given question.

Step-by-step explanation:

Missing information

In this question options are missing.Following are the option

(a) $| x1 -25\ | \leq\ 6$

(b) $| x1 - 6 |\ > 25$

(d) $| x1 +25 |\ > 6$

As mention in the question On the highway, car is said to get 25 miles per gallon

We assume $x1= 25$

also that the value of $x1$ is fluctuate by 6 miles per gallon

$x1 \leq \ 25\ \pm\ 6$

This can be written as

$x1\ -25 \leq \ \pm\ 6$

Therefore

$| x1 -25\ | \leq\ 6$ is the answer

8 0

3 years ago

Read 2 more answers

What is the answer to 9+3/4x=7/8x-10

kolezko [41]

$9+ \frac{3}{4} x = \frac{7}{8} x-10 \ \ \ \ \ /\cdot8 \\ 72+6x=7x-80 \\ -x=-152 \\ x=152$

4 0

3 years ago

Which angles are corresponding angles?

Katena32 [7]

Corresponding angles are defined as angles that are on the same side of the transversal (given the lines are parallel, which they are) and are on the same side of the parallel lines. Choices D, E, and F are angles on the same side of the transversal and on the same side of the parallel lines.

:)

5 0

3 years ago

Read 2 more answers