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4 years ago

How are similar figures related by a sequence of transformations?

Mathematics

1 answer:

Mamont248 [21]4 years ago

8 0

Answer:

Two figures are similar if and only if one figure can be obtained from the other by a single transformation , or a sequence of transformations, including translations, reflections, rotations and/or dilations. Similarity transformations preserve shape, but not necessarily size, making the figures "similar".

Step-by-step explanation:

similar figures: Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.

sequence of transformation: When two or more transformations are combined to form a new transformation, the result is called a sequence of transformations, or a composition of transformations. Remember, that in a composition, one transformation produces an image upon which the other transformation is then performed.

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Translate IxI>= 3 into words using the definition of absolute value

Nookie1986 [14]

Answer:

Step-by-step explanation:

The absolute value of an integer is the distance that separates the number from the zero position "0", that is, the absolute value of an integer is the natural number that results from suppressing its sign.

In other words, the absolute value of a real number a, written |a|, is the same number a when it is positive or zero, and opposite of a, if a is negative.

In this case IxI>= 3 means that $\left \{ {{x\geq 3} \atop {x\leq -3}} \right.$

This is translated as, since the absolute value of x represents the distance from zero, the solutions to this inequality are those numbers whose distances from zero are greater than or equal to 3, that is, that x is greater than or equal to 3 or x is less than or equal to -3.

6 0

4 years ago

Evaluate the expression. StartFraction 9 factorial Over 3 factorial EndFraction 3 6 60,480 362,874

REY [17]

Answer:

60,480 is the correct answer.

Step-by-step explanation:

First of all, let us have a look at the formula of factorial of a number 'n':

$n! = n \times (n-1) \times (n-2) \times ...... \times 1$

i.e. multiply n with (n-1) then by (n-2) upto 1.

Keep on subtracting 1 from the number and keep on multiplying until we reach to 1.

So, $9!$ can be written as: $9 \times 8 \times 7 \times ...... \times 1$

Similarly $3!$ can be written as: $3 \times 2 \times 1$

Re-writing $9 !$ :

$9 \times 8 \times 7 \times ...... 3 \times 2 \times 1\\\Rightarrow 9 \times 8 \times 7 \times ...... 3 !$

Now, the expression to be evaluated:

$\dfrac{9!}{3!} = \dfrac{9 \times 8 \times 7 \times ..... \times 3!}{3!}\\\Rightarrow 9 \times 8 \times 7 \times 6 \times 5 \times 4\\\Rightarrow 60480$

5 0

3 years ago

Read 2 more answers

PLEASE HELPP MEEE x / 3 < 2

Eduardwww [97]

Answer:

Step-by-step explanation:

3/3=1 which is smaller then 2

8 0

4 years ago

Read 2 more answers

Use the intercepts of the following quadratic curve to find its graph.y = -1/2x^2 -3/2x+2

Solnce55 [7]

The correct graph is fourth option

Explanation: $\begin{gathered} \text{The quadratic function:} \\ \text{y = }\frac{-1}{2}x^2\text{ - }\frac{3}{2}x\text{ + 2} \end{gathered}$

Using the intercepts: we have x-intercept and y-intercept

To get x intercept, we will equate the function to zero. That is y = 0

$\begin{gathered} 0\text{ = }\frac{-1}{2}x^2\text{ - }\frac{3}{2}x\text{ + 2} \\ mu\text{ltiply through by 2:} \\ 0=-x^2\text{ - 3x + 4} \\ x^2\text{ + 3x - 4 = 0} \\ x^2\text{ - x + 4x - 4 = 0} \\ x(x\text{- 1) +4(x - 1) = 0} \\ (x\text{ + 4)(x - 1) = 0} \\ x+4\text{ = 0 or x - 1 = 0} \\ x\text{ = -4 or x = 1} \end{gathered}$

x intercepts are x = -4 and x = 1

This means the line will cross the x axis at two points: x = -4 and x = 1

To get y-intercept, we will equate x to zero:

$\begin{gathered} \text{y = }\frac{-1}{2}(0)^2\text{ - }\frac{3}{2}(0)\text{ + 2} \\ y\text{ = 0 - 0 + 2} \\ y\text{ = 2} \end{gathered}$

y-intercept = 2

This means the line will cross the y axis at y = 2

The correct graph is fourth option

8 0

1 year ago

Find the value of a and of b... help mehhh

jonny [76]

Answer:

Maybe it is 146 or some other number

7 0

3 years ago