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
pashok25 [27]
3 years ago
9

Write an equation for the parabola whose vertex is at (4, 12) and which passes through (5, 21)

Mathematics
1 answer:
laiz [17]3 years ago
8 0

Answer:

y - 12 = 9(x - 4)

Step-by-step explanation:

The vertex (h, k) is (4, 12) and the point (5, 21) is on the graph.  Assuming that this is a vertical parabola, opening up (because the coordinate 21 is greater than the coordinate 12), we insert the knowns into  y - k = a(x - h)^2, obtaining

21 - 12 = a(5 - 4), or  9 = a.  With a known, we can write the desired equation:

y - 12 = 9(x - 4)

You might be interested in
Prove that there are no solutions in integers x and y to the equation 2x^2 + 5y^2 = 14
iren [92.7K]
Solve the equation for y using the formula for slope: y + mx + b

2x^2 + 5y^2 = 14
5y^2 = -2x^2 + 14
y^2 = -2/5x^2 + 14/5
y = the sq root of -2x^2/5 + 14/5

There is no integer solution to the square root of a negative number.
5 0
3 years ago
What is the expression 6 times the quantity n plus 7?<br> (there is no picture for it)
lesantik [10]

Answer:

it's 6n + 7

Step-by-step explanation:

hope this helped a little bit :))

4 0
3 years ago
Read 2 more answers
What answer is equivalent to -4(b + 2) - 36?
vazorg [7]

Answer:

− 4 b − 44

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
A wallpaper salesman earns a base pay of $15,600 per year and a commission of 16% of all sales made. If he sold $25,400 worth of
den301095 [7]
19,664 try that because you take 25,400 and multiply it by 0.16 gets you 19,664
6 0
3 years ago
Read 2 more answers
Ther are 330 walnuts in 6 bags if each bag has the same number of walnuts how many walnuts are in 2 bags
Serhud [2]

Answer:

110 Walnuts

Step-by-step explanation:

Firstly, there are 6 bags and 330 walnuts. You divide 330 by 6 and you get 55. 330/6. Now, you multiply 55 by 2 and you get your answer. So basically in each bag there are 55 walnuts and if you multiply that by 6 you get 330 again. Hope this helped!

3 0
3 years ago
Other questions:
  • Melllissa owns 4 sets of jewelry. Each set contains 2 earrings, 1 neckles, 1 bracelet, 1 ring. How many pieces of jewelry does M
    8·1 answer
  • Complete the equation of the line whose y-intercept is (0,6)and slope is 3
    12·1 answer
  • Name the<br> alternate<br> interior angle<br> with angle 5.<br> HELPP PLEASEEE
    7·1 answer
  • Answers for both boxes please ​
    12·1 answer
  • −4y−4+(−3)
    12·2 answers
  • 12x3-3x2=0 solve the equation by factoring
    11·1 answer
  • Work out the surface area of this solid prism.
    12·1 answer
  • Find the surface area of the prism.<br> 10 ft length<br> 1 ft height<br> 5 ft width
    6·1 answer
  • 5 Keisha needs postage stamps to mail
    14·1 answer
  • Tanya is training a turtle for a turtle race. For every 1/3 of an hour that the turtle is crawling, he can travel 2/23 of a mile
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!