Write the equation of a parabola in conic form with a focus at (-2,-7) and a directrix at y=-1

Need help with this

Answers

Answer 1

Answer:

(-2-h)^2+(-7-k)^2=r^2

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2 this is the normal equation now u just need to substitue those in it


Related Questions

2 5/6 times 8 as a mixed number.

Answers

Answer:

lets make it an improper fraction:

17/6 x 8/1(consider 8 over 1) = 22 2/3

Simplify first though

17 x 8 divide by 2 = 4

_____

    6 divide by 2 = 3 (8 and 6 are divisible by 2)

Your new simplified multiplication:

17 x 4

_____ then you can do your multiplication across.

   3

helppppp! how do I find this?

Answers

Answer:

y=3x-6

Step-by-step explanation:

(2,0). y=mx+b or 0=3 × 2+b, or solving for b: b=0-(3)(2). b=-6.

(3,3). y=mx+b or 3=3 × 3+b, or solving for b: b=3-(3)(3). b=-6.

Plugging in the two points from the graph.

Hence, y=3x-6

volume of a cube with side length of 5.2 cm.

Answers

Answer:

140.608

Step-by-step explanation:

The answer is 140.608

HELP ME PLEASEEEEEEEEEEEE

Answers

First you would do base times night with is 224. Then you would divide 224 by 2, so your answer would be 112

Answer:

The area is 112.

Step-by-step explanation:

14 x 16 = 224

224/2 = 112

Similar Triangles

When are triangles considered similar?

a. corresponding angles are equal AND corresponding sides are proportional
b. corresponding angles are proportional AND corresponding sides are equal
c. corresponding angles are equal OR corresponding sides are proportional
d. corresponding angles are proportional OR corresponding sides are equal

Please select the best answer from the choices provided

Answers

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

Step-by-step explanation:

I calculated it logically

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

14. The measure of Fis 110. The measure of 2E is 100°
What is the measure of D?
150°

Answers

According to given angles ,

Angle C=180- angle F (Linear pairs or st.line )

=70

Angle B = 180 - angle B (Same as above)

=80

Now

Angle D =Angle C + Angle B (Exterior angle property of a triangle)

=150°

Enjoy

len
2. Demetri wakes up at 9:15. It takes him
35 minutes to fold 4 loads of laundry,
35 minutes to bathe the dog, 45 minutes
to bake brownies, and 1 hour to mow the
lawn. After he finishes all of his chores,
he sits down to rest. What time does
Demetri rest?

Answers

Answer:

I think the answer is 11.20 am

What is the answer to this question

Answers

the answer is (x - 8) • (2x + 1)

30)
The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 747

Answers

Answer:

871.5

Step-by-step explanation:

directly proportional

y = kx

y = 12 when x = 14

12 = k(14)

k = 12/14

k = 6/7

--------------------------

what is the value of x when y = 747

747 = (6/7) * x

Multiply both sides by 7/6

747 * 7/6 = x

871.5 = x

At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $1145 how many adult tickets were sold that day

Answers

Answer:

Adult=58

Step-by-step explanation:

c=child, a=adult

6.4c+9.7a=1145 equation 1

c+a=149 equation 2

a=149-c modified equation 2 to isolate a

6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2

6.4c+1445.3-9.7c=1145

-3.3c=-300.3

c=91

solve for a

c+a=149

91+a=149

a=58

Check answer:

6.4c+9.7a=1145

6.4(91)+9.7(58)=1145

582.40+562.60=1145

1145=1145

Nathan is a recreational cyclist. He can travel 10 miles in one hour on his bicycle. Which graph represents the number of miles Nathan can travel in x hours?

Answers

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]1\ hr = 10\ miles[/tex]

Required

The graph that shows the number of miles in x hours

We have:

[tex]1\ hr = 10\ miles[/tex]

Multiply both sides by x

[tex]x * 1hr = 10miles * x[/tex]

[tex]xhr=10x\ miles[/tex]

So, the function is:

[tex]f(x) =10x[/tex]

what is the first step to solving this equation?
-5+6=4
a. subtract 6 from both sides
b. multiply both sides by 5
c. divide both sides by -5
d. add 6 to both sides

Answers

Answer:

a. subtract 6 from both sides

Step-by-step explanation:

Given the algebraic expression;

-5c + 6 = 4

First of all, we would subtract 6 from both sides. This would eliminate the "6" on the left side.

-6 - 5c + 6 = 4 - 6

-5c = -2

5c = 2

Dividing both sides by 5, we have;

c = 2/5

I am a line that intersects a circle at 2 points WHAT AM I?​

Answers

if it’s a riddle i have no idea. if it’s a math question related to the rules of circles it would be a secant line.

A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park. What is the best way to randomly choose these 500 people? O Select the first 500 taxpayers listed at the town hall. O Survey the first 500 people who visit the existing skate park. O Assign each taxpayer in town a number and then randomly select 500 of these numbers. O Choose 100 taxpayers from 5 different age groups in town.
PLEASE HELP!!!!​

Answers

Answer:  I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'

Step-by-step explanation: Happy Pride Month!!

ILL GIVE BRAINLIEST PLSSSS HELP BASICALLY EVERYTHING IS IN THE PICTURE IF YOU ANSWER THIS WRONG OR PUT RANDOM WORDS OR A LINK I WILL REPORT YOU FASTER THAN THIS IS DUE ​

Answers

Hi I think the answer would be B
If you add up all the numbers it equals 50 and then add football and tennis together that equals 13, and then you have to divide 13/50 which equals 0.26 (26%)
SOMEONE ALREADY ANSWERED BUT “ i will report you faster than this is due “ AOSJDJD IM CRYING

A lock has a 3-number code made up of 15 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?

Answers

Answer:2730

Step-by-step explanation:

The number of ways we can choose three different numbers in order for a unique code for this case is 2730

How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

Given that:

The considered lock as a 3 number codeThere are 15 numbers available.None of the number can repeat.

In a lock, the order of the way numbers are arranged matters.

Because of no repetition allowed, we can simulate this situation as:

The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.

And we have:

The number of ways we can choose 3 numbers out of 15 numbers with order = [tex]^{15}P_3 = \dfrac{15!}{(15-3)!} = \dfrac{15 \times 14 \times 13 \times 12!}{12!} = 2730[/tex]

Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730

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The polynomial f(x) is written in factored form:
f(x) = (x - 6)(x + 5)(x - 9)
What are the zeros of the polynomial function?
O x = 6, x = -5, X = 9
O x = 6, X = 5, X = 9
Ox= -6, X = 5, x = -9
Ox= -6, X = 6, X = -5, x= 5, X = -9, x = 9
15points please help

Answers

Answer:The zeros are 6, -5, 9

Step-by-step explanation:

The zeros of the polynomial function are x = 6, x = -5, and x = 9. The correct option is A.

What are polynomials?

In mathematics, a polynomial is an expression that solely uses the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables. It is made up of coefficients and indeterminates.

The zeros of the polynomial function are the values of x that make f(x) equal to zero.

The polynomial f(x) is written in factored form as:

f(x) = (x - 6)(x + 5)(x - 9)

The zeros of the polynomial are the values of x that make any of the factors equal to zero. Therefore, the zeros are:

x - 6 = 0, which gives x = 6

x + 5 = 0, which gives x = -5

x - 9 = 0, which gives x = 9

Thus, the zeros of the polynomial function are x = 6, x = -5, and x = 9.

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Write an inequality for the graph

Answers

The open circle means the inequality will be greater than or equal to (≥) or less than or equal to (≤).
A closed circle means the inequality will be greater than (>) or less than (<)

An arrow pointing right to increasingly positive values means the inequality is getting greater (> or ≥)
A narrowing pointing left to increasingly negative values means the inequality is getting lesser (< or ≤)

So for this graph with an open circle and rightward pointing arrow, “x” will be some number on the number line greater than the first point of -38:
x > -38



Trisha packs x boxes with 12 bottles in each box. The total number of bottles she packs is 216. Which equation and solution represent the total number of boxes Trisha packs?
help asap ty :)

Answers

Answer:

Number of boxes Trisha pack = 18 boxes

Step-by-step explanation:

Given:

Number of boxes Trisha pack = X

Number of bottles in each box = 12

Total number of bottle = 216

Find:

Number of boxes Trisha pack

Computation:

Total number of bottle = Number of boxes Trisha pack x Number of bottles in each box

216 = X × 12

X = 216 / 12

X = 18

Number of boxes Trisha pack = 18 boxes

Answer:

okkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

Enter the values for the highlighted variables to
complete the steps to find the sum:
az
b =
3x 9
+
2x - 6 6 - 2x
CE
d =
3 x
9
+
2x-6 al 2x-6)
3x b.
+
2x-6 2x - 6
3х – с
2x-6
d{x - e)
f(x-3)
= 9
e =
f=
III
g=
DONE

Answers

Answer:

a = - 1

b = - 9

c = 9

d = 3

e = 3

f = 2

g = 3/2

Step-by-step explanation:

For a;

6 - 2x = - (2x - 6)

For b;

-1 * 9 = - 9

For x ;

3x + (-9) = 3x - 9

3x - 9 = d(x - e)

Factorizing :

3(x - 3)

d = 3 ; e = 3

2x - 6 = f(x - 3)

Factorize :

2x - 6 = 2(x - 3)

3(x - 3) / 2(x - 3)

g = 3/2

PLEASE HELP!!!!1!1!1! suppose one particular pyramid in egypt has a square base of side length 280 meters and a perpendicular height of 144 meters what is the surgace area of the pyramid?

Answers

Answer:

Pyramid Surface Area = .5 * Perim of Base * Slant Height

Slant Height^2 = 144^2 + 140^2

Slant Height^2 = 20,736 + 19,600

Slant Height^2 = 40,336

Slant Height = 200.8382433701

Surface Area = .5 * perim of base * slant height

Surface Area = .5 * 1,200 * 200.8382433701

Surface Area = 120,503 square meters

Source = www.1728.org/volpyrmd.com

Step-by-step explanation:

A billing company that collects bills for​ doctors' offices in the area is concerned that the percentage of bills being paid by medical insurance has risen.​ Historically, that percentage has been 31​%. An examination of 8,606 ​recent, randomly selected bills reveals that 32​% of these bills are being paid by medical insurance. Is there evidence of a change in the percent of bills being paid by medical​ insurance

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]H_o : p =0.31\\\\H_a: p \neq 0.31\\\\n = 8606 \\\\ p^ = 0.32[/tex]

[tex]TS = \frac{(p^ - p)}{\sqrt{(\frac{pq}{n})}}[/tex]

      [tex]= \frac{(0.32-0.31)}{\sqrt{(\frac{0.31\times 0.69}{8368})}}\\\\=\frac{0.01}{5.4}\\\\=0.00185\\\\[/tex]

Consider this expression (x+9)(x-2)-9×_6
What expression is equivalent to the given expression

Answers

Answer:

x^2 -2x-24

Step-by-step explanation:

Answer: (x+4)(x-6)

Step-by-step explanation: Plato Answer

susan has a total of 31 books. amy has four less than seven times the number of books compared to susan. write an equation for this situation.

Answers

Answer:

213

Step-by-step explanation:

(31x7)-4

Write at least three expressions that are equivalent to 3(2x - 5)

Answers

Answer:

6x - 15

6x - (5 · 3)

(3 · 2x) - 15

So, for #1, we can just simplify 3(2x - 5) to get another expression:

3(2x - 5),

6x-15

For the next one, we could make a new equation that equals 6x-15:

(3x)+(3x)+(5 *-3)

Then for the last one, how about rewrite it so all of the values are inversely negated?

3(2x - 5),

-3(-2x +5)

Solvex2
- 4x=21
using the zero product property.

Answers

Answer:

The answer is (x + 3) (x - 7) = 0

Step-by-step explanation:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x(x - 7) + 3(x - 7) = 0

(x + 3) (x - 7) = 0

Thus, The answer is (x + 3) (x - 7) = 0

-TheUnknownScientist

Which expression is equivalent to 128?


Answers

Answer: 2^3 x 2^4

Step-by-step explanation:

The value of the exponential expression is A = 2³.2⁴ = 128

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the value of the exponential equation be A

Now , the first expression is p = 2³

The value of p = 8

Now , the second expression is q = 2⁴

The value of q = 16

From the laws of exponents , we get

p.q = 2³.2⁴ = 2³⁺⁴

The value of A = 2⁷ = 128

Hence , the exponential equation is 2⁷ = 128

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Anyone can solve this for me thx

Answers

Answer:

16

Step-by-step explanation:

Which is the graph of f(x) = 3x?

Answers

Answer: (0,0) (1,3)
Step by step:
Rewrite the function as an equation- y=3x
Use slope intercept form to find slope and y-intercept. Slope: 3; Y-Intercept:0,0

What is equivalent to 3^-5

Answers

Answer:

The answer is the choose: (D)

[tex] {3}^{ - 5} = \frac{1}{ {3}^{5} } [/tex]

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