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2 years ago

Which figure repeats in the tessellation shown below?

Mathematics

2 answers:

andre [41]2 years ago

8 0

Answer:

B???

Step-by-step explanation:

pashok25 [27]2 years ago

7 0

Answer:

The correct option is A. Figure B repeats in the tessellation shown below.

Step-by-step explanation:

Tessellation can be defined as the arrangement of geographical patterns that are closely attached together to form a particular pattern.

The given figure is formed by the arrangement off figure B.

This large pattern is formed by the repetition of this smaller pattern,

Figure B repeats in the tessellation shown below. Therefore, the correct option is A.

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Find the center of the circle: x2 + 2x - 3 + y2 = 5.

rosijanka [135]

Answer:

$\boxed{(-1, 0)}$

Step-by-step explanation:

x² + 2x - 3 + y² = 5

Strategy:

Convert the equation to the centre-radius form:

(x - h)² + (y - k)² = r²

The centre of the circle is at (h, k) and the radius is r .

Solution:

Move the number to the right-hand side.

x² + 2x + y² = 8

Complete the square for x

(Take half the coefficient of x, square it, and add to each side of the equation)

(x² + 2x + 1) + y² = 9

Complete the square for y

The coefficient of y is zero.

(x² + 2x + 1) + y² = 9

Express the result as the sum of squares

(x + 1)² + y² = 3²

h = -1; k = 0; r = 3

The centre of the circle is at $\boxed{(-1,0)}$

The graph of the circle below has its centre at (-1,0) and radius 3.

4 0

2 years ago

Suppose the government is deciding whether to create a vaccination program to prevent a potential epidemic of Zika virus. If the

Basile [38]

Answer:

Step-by-step explanation:

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2 years ago

Which equation can be used to find the length of Line segment A C? Triangle A B C is shown. Angle A C B is 90 degrees and angle

taurus [48]

Answer:

AC = 10sin(40°)

Explanation:

The diagram representing the question is shown in the attached image

Since the given triangle is a right-angled triangle, we can apply the special trig functions

These functions are as follows:

sin(θ) = opposite / hypotenuse

cos(θ) = adjacent / hypotenuse

tan(θ) = opposite / adjacent

Now, in the given diagram:

θ = 40°

AC is the side opposite to θ

AB = 10 in is the hypotenuse

Based on these givens, we will use the sin(θ) function

Therefore:

$sin(40) = \frac{AC}{10}\\ \\AC = 10sin(40)$

5 0

2 years ago

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Tom [10]

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4 0

2 years ago

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? (negative 6 minus StartRoot 51 EndRoot

Amanda [17]

Answer:

LAST OPTION: $(6-\sqrt{21},6+\sqrt{21})$

Step-by-step explanation:

1. Subtract $12x$ from both sides of the equation:

$x^2-12x= 12x- 15-12x\\\\x^2-12x=-15$

2. Since $b=12$ :

$(\frac{b}{2})^2=(\frac{12}{2})^2=(6)^2$

3. Now can complete the square. Add $(6)^2$ to both sides of the equation:

$x^2-12x+6^2=-15+6^2$

4. Simplifying:

$(x-6)^2=21$

5. Solve for "x":

$\sqrt{(x-6)^2}=\±\sqrt{21}\\\\x-6=\±\sqrt{21}\\\\x=6\±\sqrt{21}\\\\x_1=6+\sqrt{21}\\\\x_2=6-\sqrt{21}$

6. The solution set is:

$(6-\sqrt{21},6+\sqrt{21})$

3 0

2 years ago

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