answer.
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
Angelina_Jolie [31]
2 years ago
5

What is the equation for the translation of x2 + y2 = 9 four units to the right and three units down?

Mathematics
1 answer:
umka2103 [35]2 years ago
3 0
Assuming the equation reads:

x^2 + y^2 = 9

To move the equation to the left or right, you will either add or subtract a value from x. Adding a value to x will move it to the left, and subtracting a value will move it to the right.

To move the equation up or down, you will either subtract or add a value to y. Subtracting a value from y will move it up, and adding a value will move it down.

The translation is 4 units right, and 3 units down. Movement to the right means that we'll subtract from x, and movement down means that we'll add to y. The following equation will represent the translation, and is your answer:

\boxed{(x-4)^2 + (y+3)^2 = 9}
You might be interested in
The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In
Mila [183]

Answer:

  • <u><em>Option b. just below 30%</em></u>

<u><em></em></u>

Explanation:

Please, see attached the <em>histogram that represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. </em>

<em />

The<em> median</em> is the value that separates the lower 50% from the upper 50% of the data.

Since there are 25 business schools, the middle value is the number 13.

The height of each bar is the<em> frequency</em> or number of business school for that acceptace rate:

  • The first bar has frequency of 1 school
  • The second bar has frequency of 3 schools: cummulative frequency: 1+3=4.
  • The third bar has frequency 5 schools: cummulative frequency 4 + 5 = 9.
  • The fourth bar has frequency 3 schools: cummulative frequency: 9+3=12.

Then, the 13th value is on the next bar, the fifth bar.

The fifth bar has acceptance rates 25  ≤ rate < 30.

That means that the median acceptance rate is greater than or equal to 25 and less than 30.

Thus, the choice is the option <em>b. just below 30%.</em>

3 0
2 years ago
EAB and DCB are two right triangles. The figure has BED≅ BDE. Point B is the midpoint of segment AC. Prove: EAB≅ DCB
aleksklad [387]
See the attached picture. 

<span>you are given that ABCE is an isosceles trapezoid. </span>

<span>you are given that AB is parallel to EC. </span>

<span>this means that AE is congruent to BC. </span>

<span>you are given that AE and AD are congruent. </span>

<span>triangle EAD is an isosceles triangle because AE and AD are congruent. </span>

<span>this means that angle 1 is equal to angle 3. </span>

<span>since angle 1 is equal to angle 2 and angle 3 is equal to angle 1, then angle 3 is also equal to angle 2. </span>

<span>this means that AD and BC are parellel because their corresponding angles (angles 3 and 2) are equal. </span>

<span>since AB is parallel to EC and DC is part of the same line, than AB is parallel to DC. </span>

<span>you have AB parallel to DC and AD parallel to BC. </span>

<span>if opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram. </span>

<span>that might be able to do it,depending on whether all these statements are acceptable without proof. </span>

<span>they are either postulates or theorems that have been previously proven. </span>

<span>if not, then you need to go a little deeper and prove some of the statements that you used.. </span>

here's my diagram. 

 

<span>this is not a formal proof, but should give you some ideas about how to proceed. </span>

<span>you can also prove that angle 4 is equal to angle 2 because they are alternate interior angles of parallel lines. </span>

<span>you can also prove that angle 6 is equal to angle 5 because they are alternate interior angles of parallel lines. </span>
5 0
2 years ago
Why did the paper rip when the student tried to stretch out the horizontal axis of his graph? Unscramble this letters to figure
KIM [24]
I would guess the answer to be Tension, if not for the extra 'X'....
or
Extension, if you add another 'E'...
6 0
2 years ago
Solve for the equation -2y+y-3 = 6
pashok25 [27]

Answer: y = -9

Step-by-step explanation:

(-2y) + y - 3 = 6

(-y) - 3 = 6

-y = 9

y = -9

7 0
2 years ago
What is the answer please
Marina86 [1]
Hey there!

Use The Pythagorean theorem. It’s a^2+b^2=c^2. Plug in 11 and 60. The equation would be 11^2+60^2=c^2. Simplify to get 121+3600=c^2. Simplify again to get 3721=c^2. Sqaure root each side to get c=61. The answer is the last one, c=61.

I hope this helps!
8 0
2 years ago
Other questions:
  • Suppose a spherical balloon grows in such a way that after t seconds, its volume is V = 4 sqrt(t) cm3. What is the volume of the
    14·1 answer
  • Livia’s bill for lunch came to $8 before tax and tip. The restaurant included a 7 percent sales tax, and she left a 15 percent t
    13·2 answers
  • A survey of eating habits showed that approximately
    6·1 answer
  • For the quadrant in which the following point is located, determine which of the functions are positive. (-4, 3) sin cos tan sec
    7·1 answer
  • In a 14-game season, a football team
    8·2 answers
  • Of the total number of people on a cruise ship, 1/4 or child passengers. 2/5 of the remaining people were crew. There were 1320
    7·1 answer
  • Describe any domain restrictions that make sense for each of these scenarios: The price of a stock fluctuates several times thro
    14·2 answers
  • Liz and Andy make money selling jewelry at a local fair. Liz and Andy both sell necklaces for $8 each. Andy also sells bracelets
    14·2 answers
  • Mark drew a regular octagon with side lengths of 10 inches. He divided the octagon into two identical trapezoids and a rectangle
    15·1 answer
  • A baker needs 8 1/2 cups of flour for a sheet cake recipe. He has 4 2/3 cups of flour in a canister and buys 5 1/4 cups more.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!