All categories

3 years ago

About geometry transformation

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

8 0

Answer:

A geometric object is represented by its vertices (as position vectors) A geometric transformation is an operation that modifies its shape, size, position, orientation etc with respect to its current configuration operating on the vertices (position vectors).

You might be interested in

What is the domain of this function?

storchak [24]

Given:

Consider the below figure attached with this question.

To find:

The domain of the graphed function.

Solution:

Domain is the set of input values or x-values.

From the given graph it is clear that the function has one end point at (0,9) and an arrow at (8,1). It means it is not a line because it is a ray that moves further from point (8,1) in the downward direction.

The minimum value of x is 0 and their is no maximum value of x because graph of the function is a ray. So, the domain of the given function is:

$\text{Domain}=\{x|x\geq 0\}$

Therefore, the correct option is A.

7 0

3 years ago

❗️10 points❗️<br> 11. simplify the expression.<br> pleasssee

Llana [10]

Answer:

Step-by-step explanation:

7 0

4 years ago

Can I get some help please?

mamaluj [8]

Answer:

1) 68

/ \

4 17

2 2

68=2*2*17

2) 104

/ \

4 26

/\ /\

2 2 2 13

104=2*2*2*13

3) 78

2 39

3 13

78=2*3*13

4) 225

9 25

/\ /\

3 3 5 5

225=3*3*5*5

Second Part:

1) 45

3 15

3 5

45=3*3*5

2) 70

2 35

5 7

70=2*5*7

3) 54

9 6

/\ /\

3 3 2 3

54=3*3*2*3

4) 126

3 42

3 14

7 2

126=3*3*7*2

3 0

3 years ago

1/2 1 1/4 miles per hour

9966 [12]

Answer:

1 mile per hour

Step-by-step explanation:

its the middle amount

6 0

3 years ago

What are the limits of integration if the summation the limit as n goes to infinity of the summation from k equals 1 to n of the

Fofino [41]

Answer:

$\int_{2}^{9}x^2 dx$ so the limits are 2 and 9

Step-by-step explanation:

We want to express $\lim_{n\rightarrow \infty} \sum_{k=1}^n\frac{7}{n}(2+\frac{7k}{n})^2$ as a integral. To do this, we have to identify $\sum_{k=1}^n\frac{7}{n}(2+\frac{7k}{n})^2$ as a Riemann Sum that approximates the integral. (taking the limit makes the approximation equal to the value of the integral)

In general, to find a Riemann sum that approximates the integral of a function f over an interval [a,b] we can the interval in n subintervals of equal length and approximate the area (integral) with rectangles in each subinterval and them sum the areas. This is equal to

$\sum_{k=1}^n f(y_k) \frac{b-a}{n}$ , where $y_k\in[a+(k-1)\frac{b-a}{n},a+k\frac{b-a}{n}]$ is a selected point of the subinterval.

In particular, if we select the ending point of each subinterval as the $y_k$ , the Riemann sum is:

$\sum_{k=1}^n f(a+k\frac{b-a}{n}) \frac{b-a}{n}$ .

Now, let's identify this in $\sum_{k=1}^n\frac{1}{7n}(2+\frac{7k}{n})^2$ .

The integrand is x² so this is our function f. When k=n, the summand should be $\frac{b-a}{n}f(b)=\frac{b-a}{n}b^2$ because the last selected point is b. The last summand is $\frac{7}{n}(9)^2$ thus b=9 and b-a=7, then 9-a=7 which implies that a=2.

To verify our answer, note that if we substitute a=2, b=9 and f(x)=x² in the general Riemann Sum, we obtain the sum inside the limit as required.

4 0

3 years ago

About geometry transformation ​

About geometry transformation