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
Naddik [55]
3 years ago
9

How many points does the given equation have in common with the x-axis and where is the vertex in relation to the x-axis. y=x^2-

12x+12
Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

Answer:

1. It has two points in common with the x-axis.

2. The vertex in relation to the x-axis is at x=6

Step-by-step explanation:

The points that the equation has in common with the x-axis are the points of intersection of the parabola with the x-axis.

To find them, substitute y=0 and solve for "x":

y=x^2-12x+12\\0=x^2-12x+12

Use the Quadratic formula:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-12)\±\sqrt{(-12)^2-4(1)(12)}}{2(1)}\\\\x_1=10.89\\\\x_2=1.10

It has two points in common with the x-axis.

To find the vertex in relation to the x-axis, use the formula:

x=\frac{-b}{2a}

Substituting values, you get:

x=\frac{-(-12)}{2(1)}\\x=6

You might be interested in
The sum of 2a and 3b
slava [35]
The sum of 2a and 3b:

2a + 3b
7 0
3 years ago
What is the Area of the circle?
r-ruslan [8.4K]
The answer is 254.35 in square
4 0
3 years ago
Read 2 more answers
Plz help me ........
Tju [1.3M]

Answer a is it

Step-by-step explanation

7 0
3 years ago
Decrease 680 by 25% ????????????
pashok25 [27]
25÷100=0.25 0.25×680=170 is the answer
6 0
3 years ago
Read 2 more answers
HELP I NEED HELP ASAP
Tpy6a [65]

Answer:

I think it's -14

Step-by-step explanation:

x = 0 so the x won't be included but

-2 • x = -2x

-12 • x = -12x

-2x + (-)12x = -14

hope this helps :)

7 0
3 years ago
Other questions:
  • Please Help knoe timed and will give thanks and brianlesst
    5·1 answer
  • If the sum of the interior angles of a regular polygon 1260 degrees, how many sides does the polygon have?
    7·2 answers
  • The least common multiple of two numbers is 20. The difference of the two numbers is 1.
    6·1 answer
  • Which of the following are solutions to the quadratic equation? Check all that apply x^2 + 12x + 36 = 7
    11·1 answer
  • What is m in the simultaneous equation <br> M -n=1<br><br> M+n=3
    5·2 answers
  • Pls help me on area of polygons
    13·1 answer
  • At Fireside Bookshop, you buy a book for $30.00. If the sales tax is 9.5%, what is the total price you pay for the book?
    12·1 answer
  • Use the double bar graph below to answer the question.
    6·1 answer
  • 1) Find the value of these expressions:<br> a) (2x7)x5=<br> b) (8x3)x2=<br> c) 4x(3x8)=
    7·2 answers
  • The table below shows how the age of a certain tree is related to the diameter
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!