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
Papessa [141]
2 years ago
14

1. Write the equation in standard form. Identify the important features of the graph:

Mathematics
1 answer:
NeTakaya2 years ago
6 0

Answer:

  1. (x-4.5)^2 +(y +5)^2 = 30.25
  2. x = (1/8)y^2 +(1/2)y +(1/2)
  3. y^2/36 -x^2/64 = 1
  4. x^2/16 +y^2/25 = 1

Step-by-step explanation:

1. Complete the square for both x and y by adding a constant equal to the square of half the linear term coefficient. Subtract 15, and rearrange to standard form.

  (x^2 -9x +4.5^2) +(y^2 +10y +5^2) = 4.5^2 +5^2 -15

  (x -4.5)^2 +(y +5)^2 = 30.25 . . . . . write in standard form

Important features: center = (4.5, -5); radius = 5.5.

__

2. To put this in the form x=f(y), we need to add 8x, then divide by 8.

  x = (1/8)y^2 +(1/2)y +(1/2)

Important features: vertex = (0, -2); focus = (2, -2); horizontal compression factor = 1/8.

__

3. We want y^2/a^2 -x^2/b^2 = 1 with a=36 and b=(36/(3/4)^2) = 64:

  y^2/36 -x^2/64 = 1

__

4. In the form below, "a" is the semi-axis in the x-direction. Here, that is 8/2 = 4. "b" is the semi-axis in the y-direction, which is 5 in this case. We want x^2/a^2 +y^2/b^2 = 1 with a=4 and b=5.

  x^2/16 +b^2/25 = 1

_____

The first attachment shows the circle and parabola; the second shows the hyperbola and ellipse.

You might be interested in
Use the equation 2,401 = 76 – 2x. What power of 7 is 2,401?
zaharov [31]
Comment
I'm going to take a guess at this and say what you meant is  2401 = 7^(6 - 2x)

Step One
Find out the power of 7 that will equal 2401. 
You could do it like this.
7^y = 2401 and just guess at some values.

y      7^y
1      7
2      49
3      7 * 7 * 7 = 343
4      7 * 7 * 7 * 7 = 2401  So the answer is 4

7^4 = 2401

Step 2 
Equate the powers.
2401 = 7^(6 - 2x)
7^4 = 7^ (6 - 2x)
4 = 6 - 2x  Subtract 6 from both sides.
4 - 6 = - 2x 
-2 = - 2x divide by - 2
-2/-2 = x
x = 1 <<<<<<<<<<<<<answer

7 0
3 years ago
Read 2 more answers
What is the quadrants of a graph
lesya692 [45]

Answer:

The quandrants on a grap are basically the groups on the graph like quadrant I ,II ,III , and IV hope that helps

Step-by-step explanation:

7 0
3 years ago
Solve the equation for the indicated variable. U=mgh,for h
Alexus [3.1K]
U=mgh  ⇒h=U/mg

Answer: h=U/mg
6 0
3 years ago
Five times the difference of a number and twelve is greater than forty.
Naya [18.7K]

Answer:

This is the value in numbers.

5(n-12)>40

Step-by-step explanation:

Let's solve your inequality step-by-step.

5(n−12)>40

Step 1: Simplify both sides of the inequality.

5n−60>40

Step 2: Add 60 to both sides.

5n−60+60>40+60

5n>100

Step 3: Divide both sides by 5.

5n

5

>

100

5

n>20

Answer:

n>20

6 0
2 years ago
Read 2 more answers
Question 18 of 25
Pani-rosa [81]

Step-by-step explanation:

ajhwvsvsbsjsnnwnwnwnwnnnnnnn<em>r</em><em>q</em><em>r</em><em>q</em><em>r</em><em>r</em><em>q</em><em>r</em><em>w</em>

bsvsbwvqcfsgfafautaufayrayystacayfsugs7y7ay7auq

7 0
2 years ago
Other questions:
  • How long will it take you to drive 175 miles at a speed of 25 miles per hour?
    8·1 answer
  • Ryan has a shelf that is 64 over 3 inches wide. How many magazines can Ryan arrange on the shelf if each magazine is 4 over 3 in
    13·2 answers
  • Write 4.1 x 10 to the fifth power in standard form
    15·1 answer
  • How do I solve this math problem
    5·1 answer
  • Two adjacent sides of a rhombus are represented by 5x + 7 and 6x -1. find the value of x
    9·1 answer
  • If you can help with as many as you can that would be greatly appreciated.
    12·1 answer
  • at the zoo, there were 3 times as many monkeys as lions. Tom counted a total of 24 monkeys and lions. How many monkeys were ther
    10·1 answer
  • Definition: A number greater than 0 is called ____.
    9·2 answers
  • What is the slope of the line that contains the points (-1,-1) and (3, 15)?
    5·1 answer
  • What is the dividend yield on Stock A that sells at
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!