What are the coordinates of the focus of the conic section shown below?

x^2+6x-4y+5=0

Answers

Answer 1
Be breve bebe be hehe
Answer 2

Answer:

The coordinates of the focus are [tex](-3,0)[/tex]

Step-by-step explanation:

The general equation for any conic section is [tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex] where [tex]A[/tex], [tex]B[/tex], [tex]C[/tex], [tex]D[/tex], [tex]E[/tex], and [tex]F[/tex] are constantsIf [tex]B^2-4AC<0[/tex], the conic section is either a circle or ellipseIf [tex]B^2-4AC=0[/tex], the conic section is a parabolaIf [tex]B^2-4AC>0[/tex], the conic section is a hyperbola

Since [tex]B^2-4AC=0^2-4(1)(0)=0[/tex], the conic section is a parabola.

The standard form equation for a parabola is [tex](x-h)^2=4p(y-k)[/tex]Vertex is [tex](h,k)[/tex]Focus is [tex](h,k+p)[/tex]Directrix is [tex]y=k-p[/tex]Vertical axis is at the line [tex]x=h[/tex][tex]p\neq 0[/tex]

Convert general form into standard form by completing the square:

[tex]x^2+6x-4y+5=0[/tex]

[tex]x^2+6x+5=4y[/tex]

[tex]x^2+6x+9=4y+4[/tex]

[tex](x+3)^2=4(y+1)[/tex]

Now that the equation is in the form of [tex](x-h)^2=4p(y-k)[/tex], we can see that [tex]h=-3[/tex] and [tex]k=-1[/tex] which tells us that the vertex is at [tex](-3,-1)[/tex]. To determine the coordinates of the focus, we need to solve the equation [tex]4p=4[/tex] and plug the value of [tex]p=1[/tex] into [tex](h,k+p)[/tex] to get [tex](-3,-1+1)[/tex] which is [tex](-3,0)[/tex].

In conclusion, the coordinates of the focus for the conic section are [tex](-3,0)[/tex].

What Are The Coordinates Of The Focus Of The Conic Section Shown Below? X^2+6x-4y+5=0

Related Questions

Jon is solving this division problem: 7,846 : 3. In what place should he start dividing?
thousands
hundreds
ones
tens

answer is ones

Answers

The answer is the ones place
I think it’s hundreds I think I don’t know though


6a(2 squared)b + 36ab

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Answer:

try for an answer: 6ab • (18ab + a - 6b)

Translate the phrase into a variable expression. Use the letter p to name the

variable. If necessary, use the asterisk (*) for multiplication and the slash

(7) for division

the total number of peanuts divided among 4 baseball fans

Answers

Answer:

p/4

Step-by-step explanation:

You have p amount of peanuts and 4 baseball fans, so you divide p among 4, which is p/4

Answer: its p/10

Step-by-step explanation: i just did it

Question 9 of 10 What is the length of DE?

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Answer:

I think it's B.

Step-by-step explanation:

What equation represents this sentence? 42 is the quotient of a number and 6.

Answers

Answer:

42= x/6

Step-by-step explanation:

Quotient means the answer of a division problem

sense we don’t know the ”number” in this situation it will be seen as a variable or x

x / 6 = 42

to find x we just do 42/6 to get 7

x=7

If I is parallel to m. Find x and y

Answers

Answer: make me brainlist

Step-by-step explanation: x=104

104 ————————————————————

Which of the following is a rational number?

Answers

the correct answer is B

Help me please I would really apparated it thanks.

Answers

14 minutes at 100 degrees

If the sum of squares for a sample containing 51 items equals 200, what is the standard deviation?


A) 1.98

B) 2.00

C) 3.92

D) 4.00

Answers

The standard deviation is 1.98. Option A is correct.

The standard deviation formula is given as

[tex]\sigma = \sqrt{\frac{SS}{n} }[/tex]

where:

SS is the sum of squares = 200n is the sample size = 51

Substitute the given parameters into the formula to have:

[tex]\sigma = \sqrt{\frac{200}{51} }\\\sigma = \sqrt{3.922}\\\sigma = 1.980[/tex]

Hence the standard deviation is 1.98

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12 degree C fell to -5 degree C WHAT IS THE DIFFERENCE

Answers

Answer:

7

12-5=6 this helps you''';

83 devided by 3, with remainders

Answers

Answer:

just see how many times 3 goes into 80 which is 26. so then that leaves you with 5 and 3 goes into 5 only 1 time so the answer is 26 and 2

ANSWER: 81 = 27 x 3 + 2
Ok done. Thank to me :>

Help help help math math ASAP

Answers

Answer:

4

Step-by-step explanation:

f(-3) = 2 * (-3) + 10

As Earth circulates the sun, it travels at a
speed of 20 miles per second. Convert
this speed to kilometers per second. At
this speed, how many kilometers will
Earth travel in 8 seconds? Assume that 1
mile is equal to 1.6 kilometers.

Answers

If 1 mile is equal to 1.6 kilometres, then 20 miles will be equal to 20 x 1.6 = 32 kilometres

So it travels 32 kilometres per second


For the second part, if the earth travels 32 kilometres in 1 second, then it will travel 32 x 8 kilometres in 8 seconds, which is equal to 256 km

12 POINT HURRY PLEASE

Answers

Answer:

• As x approaches -∞, g(x) approaches -∞; and as x approaches ∞, g(x) approaches ∞.

Step-by-step explanation:

[tex]{ \tt{g(x) = \frac{ {x}^{2} + 5x}{3x} }} \\ [/tex]

If x approaches -∞;

[tex]{ \tt{g( {}^{ - } \infin}) = \frac{ {( {}^{ - } \infin)}^{2} + {}^{ - } \infin}{ {}^{ - } \infin} } \\ \\ { \boxed{ \tt{g( {}^{ - } \infin) = {}^{ - } \infin }}}[/tex]

If x approaches +∞;

[tex]{ \tt{g( {}^{ + } \infin) = \frac{ {( \infin)}^{2} + \infin}{ \infin} }} \\ \\ { \boxed{ \tt{ g( {}^{ + } \infin) = {}^{ + } \infin }}}[/tex]

Note: I'm taking my infinite value to be 1,000

The population of certain city is projected to grow at the rate of r(t) = 400 1+ people/ 24 +7 year in interval (Osts 5) t years from now. The current population is 60 000. What will be the population 5 years from now?​

Answers

The population 5 years from now would be 60482

The population growth rate is given as:

[tex]r(t) = 400(1 + \frac{2t}{24 + t^2})[/tex]

The value of t, 5 years from now is represented as:

t = 5

Substitute 5 for t in the function r(t).

So, we have:

[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 5^2})[/tex]

Evaluate the exponent

[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 25})[/tex]

Evaluate the products

[tex]r(5) = 400(1 + \frac{10}{24 + 25})[/tex]

So, we have:

[tex]r(5) = 400(1 + \frac{10}{49})[/tex]

Divide 10 by 49

[tex]r(5) = 400(1 + 0.204)[/tex]

This gives

[tex]r(5) = 400(1.204)[/tex]

Expand

[tex]r(5) = 481.6[/tex]

The current population is given as 60000.

So, the population (P) 5 years from now would be

[tex]P = 60000 + 481.6[/tex]

[tex]P = 60481.6[/tex]

Approximate

[tex]P = 60482[/tex]

Hence, the population (P) 5 years from now would be 60482

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Juan has 6 times as many baseball cards as Nick. If Juan has 192 cards, how many does Nick have?

Answers

Answer:

32

Step-by-step explanation:

Divide 192 by 6, to find the amount of baseball cards Nick has.

192 ÷ 6 = 32

Check:

32 · 6 = 192

192 ÷ 6 = 32

Nick has 32 baseball cards, which is 6 times less than Juan's amount.

PLS HELPPPPPPPPPPPPPPPP!!!!!!!!!!!

Answers

Answer:
( 2,b )
Hope it helps :)
have a good day!


6. Jan went to the mall with $20. She spent $5 at the mall. What decimal represents how much of her $20 she spent at the mall?

Answers

Answer:

0..........5

Step-by-step explanation:

Which of the following satisfies 2x^2 + 5x = 7?
A) x =1
B) x = (-2)
C) x = 5
D) x = 0

Answers

i believe it is A, x=1

The function g(x) undergoes a vertical stretch of 2, a horizontal shift to the right 3 units, and a vertical shift up 1 to become f(x). Which equation describes f(x).


F(x) = 2|x + 3|- 1

F(x) = 2|x - 3| + 1

F(x) = 2|x - 3| + 1

F(x) = 2|x- 3| - 1

Answers

Answer:

NONE OF THE OPTIONS GIVEN

Step-by-step explanation:

F(x) = 2|x - 3| + 1 is close, but vertical bars in stead of parentheses completely changes the curve shape

I believe it should be f(x) = 2(x - 3) + 1

if g(x) = x

here are some plots to compare the possibilities. I've shifted the vertical of each to separate the blue and green lines slightly. If they were both true "1" values the lines would be colinear for x>3.

The red line has a slope of 1, stretching by a factor of 3 means the slope is now 3. The absolute value signs from the answer options makes f(x) have a sharp V shape whereas the parentheses creates a single line for all values of x as does g(x) = x.

??????help please thanks

Answers

Answer:

The choice 66

Step-by-step explanation:

[tex]6x + 2m \\ 6(14) + 2( - 9) \\ 84 - 18 \\ = 66[/tex]

I need help with this question

Answers

Answer: bro I don’t if this is correct but try 11+3i

Belinda's Great Dane is 74.Belinda's Great Dane is 74.9 cm tall and 225 cm long.
Write these lengths in metres.9 cm tall and 225 cm long. Write these lengths in metres.

Answers

Answer:

0.749m and 2.25m

Step-by-step explanation:

to convert from centimeters to meters, you divide by 100 because there are 100cm in 1m

74.9cm/100= 0.749m and 225cm/100=2.25m

simplify help me to do this

Answers

Answer:

204

Step-by-step explanation:

90-5 (9-5 (9- (14-12) 3 ) ÷5

▪︎ First we have to solve the ones in the brackets ___ ( 14-12 ) which is e equal to 2

90-5 (9-5 (9- 2×3 ) ÷5 "the 3 comes inside the bracket coz we solved the previous one"

▪︎then we have to solve ( 9-2×3 ) which is equal to 3 _____ is 3 because if we go in the BODMAS way it will be

( 2×3 =6) , then... (9-6=3)

▪︎at the same time we can subtract 9-5 because we are done with the first bracket ( 9-5=4 )

90-5 (4×3)÷5

▪︎at the same time we can subtract 90-5 as well coz we are done with the first bracket ( 90-5=85)

▪︎then we can multiply (4×3) coz it's in the brackets (4×3=12)

85×12÷5

▪︎so then we hv to multiply 85 by 12 , then the answer is 1020

1020÷5

▪︎then divide (1020÷5=204)

☆90-5 (9-5 (9- (14-12) 3 ) ÷5

=90-5(9-5(9-2×3)÷5

=90-5(4×3)÷5

=85×12÷5

=1020÷5

=204

hope this helps☆☆☆

( sorry fr the long answer )

Find the perimeter of a rectangle whose width is 30cm and diagonal 50cm.

Answers

Answer:

P=140cm

Step-by-step explanation:

P=2(l+w)

d=w2+l2

Solving forP

P=2w+2d2﹣w2=2·30+2·502﹣302=140cm

Hope This Kind of Helps

Answer: 140cm

P=2(l+w)  

P=2w+2d2﹣w2=2·30+2·502﹣302=140cm

Students from CAMPA participated in a school fundraiser. The six graders raised $600. The seventh graders raised 35% more than the six graders. The eighth graders raised. 10% less than the seventh graders. What is the total amount the school raised?

Answers

Answer:

$2,139 was the total amount the school raised.

Step-by-step explanation:

35% of 600= 210

210+600 = $810

10% of 810= 81

810-81= $729

6th Graders= $600

7th Graders= $810

8th Graders= $729

hey I really need help on this one please help me thanks

Answers

Answer:

y = -10/3x -23

Step-by-step explanation:

Here's two options! You can either use slope-intercept formula or point-slope formula for the first steps.

We are trying to find m.

Slope-intercept formula:

m = y2-y1/x2-x1

Now let's identify our points, (-9,7) and (-6,-3).

= -3-7/-6+9

= -10/3

Point-slope formula:

y-y1 = m(x-x1)

Now let's identify our points, (-9,7) and (-6,-3).

-3 - 7 = m(-6 + 9)

-10 = 3m

-10/3 = m

Now, we have to use slope-intercept formula to find our b.

y = mx+b

y = -10/3x + b

Let's substitute one of the points, any given points work!

7 = -10/3(-9) + b

7 = 30 + b

-23 = b

Let's put it back in.

y = -10/3x -23

What is the slope of the line. ?

Answers

Answer:

-1

Step-by-step explanation:

rise/run

rise=-1

run=1

-1/1=-1

Approximately what portion of the beaker is filled?
A. 1/2
B. 1/4 C.3/4

Answers

Answer:

B. [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The whole beaker is 1. If you measure the beaker, you will notice you can fill up the beaker to the brim (whole, which is 1) if you use the current amount 4 times, and four times is [tex]\frac{1}{4}[/tex].

A decrease in the amount of principal owed on a loan is called what?
A. Note reduction
B. Amortization
C. Payment number
D. Unpaid balance
SUBMIT

Answers

The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases.

the correct answer is B. Amortization.

A decrease in the amount of principal owed on a loan is called amortization.

Amortization refers to the gradual reduction of the principal balance of a loan over time through regular payments. When you make payments on a loan, a portion of the payment goes towards paying off the principal amount borrowed, while another portion goes towards paying the interest charged on the loan.

The process of amortization involves dividing the total loan amount into equal installments or payments over a specified period. With each payment made, a portion goes towards reducing the principal balance. As a result, the outstanding principal decreases over time, leading to the eventual repayment of the entire loan.

Amortization is a common feature in installment loans, such as mortgages, car loans, and personal loans. It allows borrowers to repay the loan gradually rather than in a lump sum, making it more manageable and affordable.

The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases. This means that over time, a larger portion of each payment goes towards paying off the principal, helping the borrower build equity and ultimately fully repay the loan.

Therefore, the correct answer is B. Amortization.

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https://brainly.com/question/25720319

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