1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LekaFEV [45]
3 years ago
15

Two rectangles are similar. Rectangle ABCD has a length of 20 inches and width of 12 inches. Rectangle ABCD is dilated 25% of it

original size to form rectangle FGHJ. How is the area affected?
Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

FGHJ is 60 inches, because it was dilated 25%, and 25% of 240 is 60

You might be interested in
HELP PLEASE 50 points !!! Given a polynomial function describe the effects on the Y intercept, region where the graph is incre
Gwar [14]

Even function:

A function is said to be even if its graph is symmetric with respect to the , that is:

Odd function:

A function is said to be odd if its graph is symmetric with respect to the origin, that is:

So let's analyze each question for each type of functions using examples of polynomial functions. Thus:

FOR EVEN FUNCTIONS:

1. When  becomes  

1.1 Effects on the y-intercept

We need to find out the effects on the y-intercept when shifting the function  into:

We know that the graph  intersects the y-axis when , therefore:

So:

So the y-intercept of  is one unit less than the y-intercept of

1.2. Effects on the regions where the graph is increasing and decreasing

Given that you are shifting the graph downward on the y-axis, there is no any effect on the intervals of the domain. The function  increases and decreases in the same intervals of

1.3 The end behavior when the following changes are made.

The function is shifted one unit downward, so each point of  has the same x-coordinate but the output is one unit less than the output of . Thus, each point will be sketched as:

FOR ODD FUNCTIONS:

2. When  becomes  

2.1 Effects on the y-intercept

In this case happens the same as in the previous case. The new y-intercept is one unit less. So the graph is shifted one unit downward again.

An example is shown in Figure 1. The graph in blue is the function:

and the function in red is:

So you can see that:

2.2. Effects on the regions where the graph is increasing and decreasing

The effects are the same just as in the previous case. So the new function increases and decreases in the same intervals of

In Figure 1 you can see that both functions increase at:

and decrease at:

2.3 The end behavior when the following changes are made.

It happens the same, the output is one unit less than the output of . So, you can write the points just as they were written before.

So you can realize this concept by taking a point with the same x-coordinate of both graphs in Figure 1.

FOR EVEN FUNCTIONS:

3. When  becomes  

3.1 Effects on the y-intercept

We need to find out the effects on the y-intercept when shifting the function  into:

As we know, the graph  intersects the y-axis when , therefore:

And:

So the new y-intercept is the negative of the previous intercept shifted one unit upward.

3.2. Effects on the regions where the graph is increasing and decreasing

In the intervals when the function  increases, the function  decreases. On the other hand, in the intervals when the function  decreases, the function  increases.

3.3 The end behavior when the following changes are made.

Each point of the function  has the same x-coordinate just as the function  and the y-coordinate is the negative of the previous coordinate shifted one unit upward, that is:

FOR ODD FUNCTIONS:

4. When  becomes  

4.1 Effects on the y-intercept

In this case happens the same as in the previous case. The new y-intercept is the negative of the previous intercept shifted one unit upward.

4.2. Effects on the regions where the graph is increasing and decreasing

In this case it happens the same. So in the intervals when the function  increases, the function  decreases. On the other hand, in the intervals when the function  decreases, the function  increases.

4.3 The end behavior when the following changes are made.

Similarly, each point of the function  has the same x-coordinate just as the function  and the y-coordinate is the negative of the previous coordinate shifted one unit upward.

6 0
3 years ago
The results of a test of a metal are shown in the table, with strain in meters per meter, andstress in units called megapascals,
shusha [124]

a.

b.

The metal obey this law for values of strain until 0.05, where we have a linear relationship (each increase of 0.01 in the strain causes an increase of 100 in the stress). After this point, we don't have a linear relationship anymore.

c. Since an increase of 0.01 in the strain causes an increase of 100 in the stress, the slope is:

m=\frac{100}{0.01}=10000

Now, calculating the coefficient b (y-intercept), we have:

\begin{gathered} (0.01,100)\colon \\ 100=0.01\cdot10000+b \\ 100=100+b \\ b=0 \end{gathered}

So the equation is:

y=10000x

d.

The maximum value of stress is 560, and occurs at strain = 0.07.

8 0
1 year ago
**URGENT**please help and show work!
Natasha2012 [34]

Answer:

mat hhway u gives all the answers

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A garden table and a bench cost $852 combined. The table is $98 less than the bench. What is the cost of the bench?
Citrus2011 [14]

Answer:

Step-by-step explanation:

b=bench

852=b+(b-98) since the table is less than the bench by 98$

852-b=b-98

950-b=b

950=2b

475=b

3 0
3 years ago
12 • 3 ÷ 9 - 2(4² - 10) + 8
vladimir2022 [97]

Answer:

Awnser is 6

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • A basket contains 6 apples and 5 oranges. Determine whether the events of picking an apple first and then an orange without repl
    13·2 answers
  • Y=-0.005x^2+0.41x-5.1
    14·1 answer
  • I believe the answer is 61.67 am I right?
    14·1 answer
  • Mrs. Simpson drove 105 miles in 2 1/2 hours. What was Mrs. Simpson's average speed in miles per hour?
    13·2 answers
  • Choose the number that is 1/4 of 1/2 of 1/5 of 200:
    14·1 answer
  • Explain how to determine if the number is a solution to the equation. n + 6 = 33 for n = 27
    7·2 answers
  • 1. Benji is an architect. He designed a house and drew a blueprint to show his client. The scale of his blueprint is 1 inch: 4 f
    9·1 answer
  • 1+log2=log(x+1)<br><br> I know that x=19 but how do you get 19?
    5·1 answer
  • PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!
    10·1 answer
  • Ali needs $60 to purchase a flute. She has $32. She can earn $4 an hour babysitting. Which equation could be used to find h, the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!