Mathematics High School

What is the coordinate of the focus
for the following parabola:
(x - 1)^2 = 12(y + 2)

What Is The Coordinate Of The Focusfor The Following Parabola:(x - 1)^2 = 12(y + 2)

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

The required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.

Given that, equation of the parabola,

[tex](x - 1)^2 = 12(y + 2)[/tex]


What is a parabola?

A parabola is cross-section cut out of the cone and represented by an equation [tex]y = 4ax^2[/tex]. Where a is focus.

Here,
[tex](x - 1)^2 = 12(y + 2)[/tex]
Simplify the above parabola equation to stand equation
[tex]y = \frac{1}{4(f-k)} (x-h)^2 + k[/tex]
[tex]y =\frac{1}{4(1-(-2))} (x - 1)^2 - 2[/tex]
Now comparing above the equation,
vertex of a parabola,
h = 1 and k = -2

And focus
So the coordinate of the focus of the parabola = (h, f)
= (1, 1)      

     

             

Thus, the required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.


Learn more about parabola here:

brainly.com/question/4074088

#SPJ2

Related Questions

Factor the given expression using the GCF monomial please!

I actually need to understand this so please show your work as well, thank you!

Answers

Answer:

9a^4b^10 ( 4 - 9a^12b^20)

Step-by-step explanation:

The greatest common factor of the two terms is 9a^4b^10

You can now remove the greatest common factor outside the brackets.

Inside the brackets, you place the value obtained by dividing 36a^4b^10- 81a^16b^20 by 9a^4b^10

That is = 4 - 9a^12b^20

Please note that the laws of indices i used for the above division is: n^a divided by n^b = n^(a-b)

Now, the factorised answer for your question =  9a^4b^10 ( 4 - 9a^12b^20)

Hope thos helps  

{67, 68, 68, 71, 73, 73, 73, 74, 74, 74, 74, 75, 75, 77, 78, 79, 79, 80, 80}
What is the median of the data?
68
71
74
75

Answers

the answer would be 74 i believe sorry if i am wrong

Answer:

74

Step-by-step explanation:

hajahabajsj abshahhahss

Fin.ish the lyr.ics: What can I say exce.pt your​

Answers

Answer:

go pico yeah yeah ahhahshdhxhxxj

Which numbers are solutions to the equation 30=x2
? Select all that apply.

x=15

x is equal to 15
x=30−−√
x is equal to square root of 30
x=900
x is equal to 900
x=−15
x is equal to negative 15
x=−30−−√
x is equal to negative square root of 30
x=−900

Answers

Answer:

x = +√30

Step-by-step explanation:

Please write 30 = x squared as 30 = x^2.

If x^2 = 30, there are two solutions:  x = +√30 and x = -√30.

Several possible answers are given.    x=30−−√ is closest to the correct one, but must be written as x = √30.  Please ask someone how to find the "√" operator in Brainly.  Or, just write "sqrt(      )" instead.

The equation 3x – 2y = 18 is in slope intercept
form.
If the y variable was isolated, it would be in
1
form.
(Use all lowercase letters when writing the answers)

Answers

Given:

The equation is:

[tex]3x-2y=18[/tex]

To find:

The slope intercept form of the given equation.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

We have,

[tex]3x-2y=18[/tex]

It is not in the slope intercept form.

We need to isolate variable y to get the slope intercept form.

The given equation can be rewritten as:

[tex]-2y=-3x+18[/tex]

[tex]y=\dfrac{-3x+18}{-2}[/tex]

[tex]y=\dfrac{-3x}{-2}+\dfrac{18}{-2}[/tex]

[tex]y=\dfrac{3}{2}x-9[/tex]

Therefore, the slope intercept form of the given equation is [tex]y=\dfrac{3}{2}x-9[/tex].

For which of the following is x = -5 a solution? Select all that apply.

Answers

Answer:

Options 2, 3, 4, 5 are the solutions.

Step-by-step explanation:

Option 1).

x + 10 = -5

x = -10 - 5

x = -15

Therefore, x = -5 is not the solution.

Option 2).

-x² + 50 = 25

-x² = 25 - 50

-x² = -25

x² = 25

x = ±5

Therefore, x = -5 is a solution

Option (3)

|2x| = 10

2x = ± 10

x = ± 5

Therefore, x = -5 is a solution.

Option (4)

x < 0

Since, -5 < 0

Therefore, x = -5 is a solution.

Option (5)

2x < 10

x < 5

Since, -5 < 5

Therefore, x = -5 is a solution.

Options 2, 3, 4, 5 are the solutions.

-3.41 is located between which of the letters on
the number line?
K
L
M
N
e
R
S
+
0 P
+
0 1
-5
-4
-3
-2
- 1
2
3
4
5
a
Kand L
Ob
Mand N
Panda
Od
Rands

Answers

Answer:

k and l....................

Which expressions are equivalent to the expression 18b+24? Select all that apply. *

A.6(3b+4)
B.6(3b+8)
C.2(96-12)
D.3(6b+8)
E.3(6b+4)
F.2(9b+12)

Answers

Answer:

A, D, F

Step-by-step explanation:

6(3b+4)=18b+24

6(3b+8)=18b+48

2(96-12)=192-24

3(6b+8)=18b+24

3(6b+4)=18b+12

2(9b+12)=18b+24

Skylar has a collection of 60 comic books. She gave away some of her comic books to her friend. After she gave them away, she had 48 still. What percent of her comic books did Skylar give away?

Answers

Answer:

the percent of her comic books did Skylar give away is 20%

Step-by-step explanation:

Given that

Skylar has a collection of 60 comic books

She gave away some of her books

And she left by 48 books

we need to find out the percent of the skylar give away books

= (60 - 48) ÷ 60

= 12 books ÷ 60 books

= 20%

Hence, the percent of her comic books did Skylar give away is 20%

is x the slope , and what is y

Answers

Answer:

wheres the picture?

Step-by-step explanation:

Answer:

y intercept  

Step-by-step explanation:

the point where the graph crosses the y -axis

What is the perimeter, in units, of Rectangle WXYZ?

Answers

Answer:

I'm pretty sure it's 72, if not i'm sorry

Sam needs to figure out how much purple paint to buy.
Calculate for her the total area, in square feet, of the four walls.
She will not paint the door or windows.

Answers

Answer: 322 square feet

Answer: The Answer is 322

Step-by-step explanation:

I have done this test before :)

Consider the points.

(2,5) and (-4,5)

If these points are graphed on a coordinate plane, what is the distance between them?

Answers

Answer:

6 units

Step-by-step explanation:

Use the distance formula, [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex].

Plug the x and y values from the given points into the distance formula:

[tex]\sqrt{([-4]-2)^{2}+(5-5)^{2}}[/tex].

Solve the square root:

[tex]\sqrt{36}[/tex] = [tex]\sqrt{6^{2}}[/tex] = [tex]6[/tex]

2) What is the measure of

Answers

Answer:

I thought it is 44 since ACB is 88 and it is a central angle with respect to the arc AB while ADB is inscribed angle then it is 1/2 of arc AB then it is 1/2 of 88 which is 44

Question 1 (1 point)
Which inequality is a true statement?

Select each correct answer.

Question 1 options:

−3≤−1

−3>−1

−3=−1

−3<−1

−3≥−1-

Question 2 (1 point)
Which statement is true?

Question 2 options:

7.11<−7.1

7.11≤−7.1

7.11>−7.1

7.11=−7.1
Question 3 (1 point)
Which value of x is a solution of the inequality?

x−(−3)≥7


Question 3 options:

x=−5

x=8

x=2

x=3.5
Question 4 (1 point)
Which value of x is a solution of the inequality?

x−6>−2


Question 4 options:

x=24

x=11

x=20

x=18
Question 5 (1 point)
Which value of x is a solution of the inequality?

−2x<−18


Question 5 options:

x=32

x=8

x=−27

x=2

0 of 5 questions saved

Answers

False.                            7.11 < 7.1       x=8     x=11    x=8

True.

False.

False.

True.

A.100
B.180
C.112
D.68
E.94
F.56
G.90

Answers

94

112-18=94
vertical angles equal each other
the answer is E. 94

hope this helps!

In a department store, a $190 phone is marked, "Save 15%."

a)What is the amount of the discount?

b) What is the sale price of the phone?

Pls help
work out or just help me

Answers

15% of 190 = 28.5

190-28.5=161.5

A: 28.5

B: 161.5

Geometry help please. Complete the similarity statement, in the box below, of these two triangles.

Answers

Answer:

ΔIJK ≈ ΔXVW

Step-by-step explanation:

Select the situation below that can be represented by the expression 1/6 divided by 3

Answers

1/6 means "one-sixths"

÷ 3 means "divided by three"

Full sentence

One-sixths divided by three

Find the similar sentence in the options.

It's letter (D) One-sixths of a yard cut into 3 equal lengths.

Cutting into equal lengths is the same as saying "Divide"

What is the answer please!

Answers

Answer:

rectangle

Step-by-step explanation:

Answer:

b!

Step-by-step explanation:

a. does not have a base or hight

c. is BxHxL

d. not sure

what's 1.187939392 to the nearest tenth?

Answers

Answer:

1.2

Step-by-step explanation:

For this, everything after 8 doesn't matter.

Because 8 is bigger than 5, we will round the number to the left up.

It is because 8 is the hundreth.

=1.2

Use elimination to solve this

Answers

The solution is (-7/2 , 3)

Explanation:
#1 : I eliminated the x value which will leave me with the y value.

#2: now that you have the y value,, to look for the x value, pick one equation from the equations given. (I used 2x + 4y = 5)

#3: now put your y value into the equation in order to get the x value. (2x + 4(3) = 5)

#4: now just solve for x.

answer to 7x^2 - 3x + 6 = 0

Answers

Answer: 2.7

Step-by-step explanation: Hope this helps!

Answer:

(3 - [tex]\sqrt{159}[/tex]) / 14 ≈ -0.7

(3 + [tex]\sqrt{159}[/tex]) / 14 ≈ 1.1

Step-by-step explanation:

this quadratic has no real roots because of the negative square root

can you help me with this ,please?​

Answers

Answer : B. 11.4 Units

Last year, Mr. Ledger used 18 donuts during the lessons. This year, he used 22 donuts. Place points on the graph to show how many donuts are left at the end of last year's lesson and this year's lesson.

Answers

Answer:

(22,2) and (18,6)

Step-by-step explanation:

Heyyyy so the equation is y=24-x

So let's do 24-x to get y

24-18=6

Same thing

24-22=2

I also did this on Khan so yeah its right :D

2) W
All of the following situations can be
represented by the integer 10, except
which one?
A a balloon rises 10 ft into the air
B the stock market gains 10 points
C The town lies 10 It below sea level. Please help!
D Jon received a gift of $10

Answers

B. Hope it helps
#CoL

4sqrt(98) + sqrt(150) - 2sqrt(32)

Answers

Answer:

40.53171996

Step-by-step explanation:

Used a calculator

U will be marked as brainlest if u solve this question


give a fraction equals to 36/90 and having the sum of the numerator and the denominator equal to 28​

Answers

Answer:

8/20

Explanation:

36/90 = 0.4

8/20 = 0.4
and
8 + 20 = 28

Given that ac=22 and bc=7, find ab

Answers

Answer:

I'll look into that answer

A fisherman is standing on the left bank of a stream that is 115 ft wide. The angle of depression from the edge where he stands to the bottom of the stream on the opposite edge is 52˚. How deep is the river at this point? (round to nearest foot).

Answers

Answer:

Step-by-step explanation:

A fisherman is standing on the left bank of a stream that is 115 ft wide. The angle of depression from the edge where he stands to the bottom of the stream on the opposite edge is 52˚. How deep is the river at this point? (round to nearest foot).

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