All categories

3 years ago

Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.

Mathematics

2 answers:

azamat3 years ago

6 0

we know that

The scale factor is equal to

$Scale\ Factor=\frac{F'G'}{FG}$

we have

$F'G'=8\ units\\FG=2\ units$

substitute

$Scale\ Factor=\frac{8}{2}$

$Scale\ Factor=4$

therefore

<u>the answer is</u>

$4$

aalyn [17]3 years ago

5 0

Answer: 4

Step-by-step explanation:

From the given picture, To find scale factor between figures, find two corresponding sides and write the ratio of the two sides.

The value of y is same through the distance of F to G.

So, FG= change in x coordinates

FG= $|-2-(-4)|=|-2|=2$ units

Similarly , F'G'= $|3-(-5)|=|8|=8$ units

Let k be the scale factor of the dilation.

The scale factor of the dilation is given by :-

$k=\frac{F'G'}{FG}\\\Rightarrow\ k=\frac{8}{2}=4$

You might be interested in

Solve 9^x + 4 = 11 for x using the change of base formula log base b of y equals log y over log b.

Sauron [17]

Answer:

If you meant $9^x+4=11$ , then the answer is approximately 0.866.

If you meant $9^{x+4}=11$ , then the answer is approximately -2.909 which looks like what you meant based on the choices.

Step-by-step explanation:

$9^x+4=11$

First step is to get the exponential part by itself. The part that has the variable exponent which is the $9^x$ term.

To do this we need to subtract 4 on both sides:

$9^x=11-4$

Simplify:

$9^x=7$

The equivalent logarithmic form is:

$\log_9(7)=x$

I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.

Anyways if you don't have options for computing $\log_b(a)$ in your calculator you need to use the change of base formula.

$\frac{\log(7)}{\log(9)}=x$

So $x \approx 0.8856$

I don't see this as a choice so maybe you actually meant the following equation:

$9^{x+4}=11$

Let's see if this is the correct interpretation.

So the exponential part is already isolated.

So we just need to put in the equivalent logarithmic form:

$\log_9(11)=x+4$

Now we subtract 4 on both sides:

$\log_9(11)-4=x$

Again if you don't have the option for computing $\log_b(a)$ in your calculator, you will have to use the change of base formula:

$\frac{\log(11)}{\log(9)}-4=x$

$x \approx -2.909$

6 0

3 years ago

The perimeter, P, of a rectangle is equal to twice the sum of the length and width of the rectangle. Determine the width of a re

svetoff [14.1K]

Answer:

12 inches

Step-by-step explanation:

5 + 5 = 10

34 - 10 = 24

24 ÷ 2 = 12

Therefore, the answer is 12 inches.

7 0

3 years ago

The Demand function for a product is given by:

VikaD [51]

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

$A = \frac{f(b) - f(a)}{b - a}$

In this question:

$D(q) = -0.0003q^2 - 0.04q + 23.56$

What is the average rate of change of Demand between 40 and 175 units sold?

$a = 40, b = 175$ . So

$D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48$

$D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725$

$A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045$

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

3 0

3 years ago

If mints sell three for<br>25°, how many can 1<br>buy with a $20 bill?

just olya [345]

Answer:

240

Step-by-step explanation:

20/0.25 = 80

80 x 3 = 240

4 0

2 years ago

The box plot shows the total amount of time, in minutes, the students of a class spend reading each day

katrin2010 [14]

2. The median for the data is the correct answer

6 0

3 years ago