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
levacccp [35]
3 years ago
11

HELP ME!! im so stumped. will give brainliest!

Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

x=1+\sqrt{3} and x=1-\sqrt{3}

Step-by-step explanation:

We have been given the parabola with vertex (1, -9) and y intercept at (0, -6).

Now we need to find the x-intercepts of that parabola. So first we begin by finding the equation of parabola using vertex formula:

y=a\left(x-h\right)^2+k

Vertex for this formula is given by (h,k)

Compare that with given vertex (1,-9), we get: h=1, k=-9

So plug these into vertex formula:

y=a\left(x-1\right)^2-9...(i)

Plug given point (0, -6). into (i)

-6=a\left(0-1\right)^2-9

-6=a\left(-1\right)^2-9

-6=a\left(1\right)-9

-6+9=a

3=a

Plug a=3 into (i)

y=3\left(x-1\right)^2-9

Now to find x-intercept, we just plug y=0 and solve for x

y=3\left(x-1\right)^2-9

0=3\left(x-1\right)^2-9

9=3\left(x-1\right)^2

3=\left(x-1\right)^2

\pm \sqrt{3}=x-1

1+\pm \sqrt{3}=x

Hence final answer are

x=1+\sqrt{3} and x=1-\sqrt{3}

You might be interested in
The area of this rectangle is 96 ft2.<br> What is the length and width?
chubhunter [2.5K]

Answer:

length is 8

width is 12

Step-by-step explanation:

the equation to solve this would be

x*(x+4)=96

you isolate the variable by dividing each side by factors that doesn't contain the variable

X would then equal 8

length is 8

width is 8+4= 12

5 0
3 years ago
Determine whether the ordered pairs (1,4) and 6,
devlian [24]

Answer:

Not solutions.

Step-by-step explanation:

-5x+6y=-5

6y=-5+5x

6y=5x-5

y=5/6x-5/6

-5/6 is about -0.833

And the slope is 5/6.

So for every x there is 5/6y.

This means (1, 4) won't work cause it's too low.

Also 5/6*6=5. this is too low too.

So they aren't solutions.

3 0
1 year ago
. Simplify an expression for the area of the rectangle shown above
mel-nik [20]
8x+3x5=66 there you go
3 0
2 years ago
10 points! Please help ASAP.
DerKrebs [107]
Answer: Yes
Explanation:
120 % = 1.2

If Maxine is correct, then she spent 1.2
times the hours she did homework than last week.
15 ⋅ 1.2 = 18.0 = 18

15 hours ⋅ 1.2 = 18.0 hours = 18 hours
Maxine is correct
6 0
3 years ago
How much is each taco shell if you do 5.36 divided by 20
Paha777 [63]
It would be 26 cents per shell
7 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP ME I NEED THE CORRECT ANSWER TO THIS QUESTION
    8·1 answer
  • Which coin will touch the bottom first?25°c and 25°f​
    5·1 answer
  • the equation c = 0.75t represents c, the total cost of t tickets on a bus. which table contains values that fit this equation?
    8·1 answer
  • In a right triangle, if the length of one leg is 4 and the length of the hypotenuse is 8, what is the length of other leg, in si
    14·1 answer
  • Pls answer if you know
    8·1 answer
  • The graph shows the functior f(x) = 2X<br> What is the value of x when f(x) = 8?
    5·1 answer
  • Xavier is buying notebooks for school. The table below shows the number of notebooks he can buy and the total cost.
    9·2 answers
  • Por qué 80 entre 5 sale 16​
    13·1 answer
  • What is the least common multiple of 4 and 8? Enter your answer in the box.
    14·1 answer
  • Determine the type of triangle that is drawn below.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!