Write the equation for a parabola with a focus at (-2,5) and a directrix at x=3 Answer has to be in Y=____ Format

Answers

Answer 1

Answer:

Step-by-step explanation:

The vertex of a parabola is directly in between the focus and the directrix. That means that the vertex of this parabola is at (1/2, 5). A parabola wraps itself around the focus and away from the directrix, so this parabola opens to the left. One other thing that we need to know is the distance between the vertex and the focus, the p value in the equation. So here's the equation we need (it's not a y= equation, though):

[tex]-(y-k)^2=4p(x-h)[/tex]

So here's what we know from the info above:

p = 5/2

h = 1/2

k = 5

and filling in:

[tex]-(y-5)^2=4(\frac{5}{2})(x-\frac{1}{2})[/tex] and simplifying:

[tex]-(y-5)^2=10(x-\frac{1}{2})[/tex] and then solving for x:

[tex]-\frac{1}{10}(y-5)^2+\frac{1}{2}=x[/tex]


Related Questions

The points (- 1, – 2), (1, 0), (- 1, 2), (- 3, 0) forms a quadrilateral of type:​

Answers

Answer:

A square.

Step-by-step explanation:

I Shall Name Thee Brainliest! (:
What is -7Q + 6 + 5Q = 15 - 7 solve and check

3 (P+5) + P = 3(2+P) solve and check

2(A+4) + 6A = 2(2 + 3A) solve and check

Answers

Answer:

hello, friend(✿◡‿◡)

Step-by-step explanation:

-7Q + 6 + 5Q = 15 - 7

Q=-1

3 (P+5) + P = 3(2+P)

P=-3

2(A+4) + 6A = 2(2 + 3A)

A=-2

2/7/10
Container X contained 1200 g of sand. Container Y contained L
rand. After an equal amount of sand was removed from each com
Lontainer y now hos 7 times as much sand as Container XHOW now
and was removed from each container? Give your answer in kilograma​

Answers

Complete question:

Container x contained 1200g of sand. Container y contained 7.2kg of sand. After as equal amount of sand was removed from each container, Container Ynow has 7 times as much as sand as container x. How much sand was removed from each container?

Answer: the mass of sand removed from both containers is 0.2kg

Step-by-step explanation:

Given that:

Mass of sand in container X = 1200g = 1.2kg

Mass of and in container Y = 7.2kg

Equal amount of sand was removed from both.

Let the mass of sand removed from both containers = z

That is;

Container X = 1.2 - z

Container Y = 7.2 -z

Now container Y has become 7times the content in container X

Container Y = 7 * (container X)

7.2 -z = 7(1.2 - z)

7.2 - z = 8.4 -7z

-z + 7z = 8.4 - 7.2

6z = 1.2

z = 0.2

Therefore, the mass of sand removed from both containers is 0.2kg

solve the following equations 3m = 2(m - 3)​ its on acellus! pls help!!

Answers

Answer:

m = -6

Step-by-step explanation:

3m = 2(m - 3)​

Distribute

3m = 2m - 6

Subtract 2m from each side

3m -2m = 2m-2m -6

m = -6

Answer:

[tex]\boxed{\red{m = - 6}}[/tex]

Step-by-step explanation:

[tex]3m = 2(m - 3) \\ 3m = 2m - 6 \\ 3m - 2m = - 6 \\ m = - 6[/tex]

the equation y=4.65x 1.37 fits the graph of stock XYZ over the past month with an r=value of 0.9894. How much do you think XYZ will be worth at x=19 days?

Answers

Answer: $1841.38 .

Step-by-step explanation:

Given, the equation [tex]y=4.65(1.37)^x[/tex] fits the graph of stock XYZ over the past month with an r=value of 0.9894.

At x= 19,

[tex]y=4.65(1.37)^{19}\\\\\Rightarrow\ y=4.65(395.9960)\\\\\Rightarrow\ y=1841.38[/tex]

Hence, At x= 19 days , the worth of XYZ will be $1841.38 .

please hellppp please hellllllp​

Answers

Answer:

a. 170

b. −25

c. -25

d. 75√3 (Decimal: 129.903811)

Please help me with this question!!!!!

Answers

Answer:

B. [tex]H(x)=-.008(x-82)^{2}+83[/tex]

Step-by-step explanation:

Well lets graph the following equation first,

H(x) = -.011(x - 82)^2 + 75

Then lets graph all the other equations.

Look at the image below↓

So A.

The purple line does not go farther or higher,

so A. is incorrect

B.

The black line goes higher and farther,

meaning it is correct.

C.

The red line goes farther but not higher.

So it is incorrect

D.

Again the blue line does not go farther of higher.

So its wrong.

Thus,

answer choice B. [tex]H(x)=-.008(x-82)^{2}+83[/tex] is correct.

Hope this helps :)

3√6+4√6 is equal to​

Answers

Answer:

[tex]7\sqrt{6}[/tex]

Step-by-step explanation:

You can only add radicals if the value inside the square root symbol is the exact same, therefore, this one is 6. To find the sum, we can add the values outside the square root symbol (3 and 4) to get our new radical.

We can also check this.

[tex]3\sqrt{6} = \sqrt{9*6} = \sqrt{54}[/tex] ≈ 7.35

[tex]4\sqrt{6} = \sqrt{16*6} = \sqrt{96}[/tex] ≈ 9.8

[tex]7\sqrt{6} = \sqrt{49*6} = \sqrt{294}[/tex] ≈ 17.15

7.35+9.8 = 17.15

Hope this helped!

Answer:

17.15

Step-by-step explanation:

[tex]3\sqrt{6}[/tex]

Square root of 6 is about 2.45

2.45 * 3 = 7.35

[tex]4\sqrt{6}[/tex],

Square root of 6 is about 2.45,

2.45*4 = 9.8

7.35 + 9.8 = 17.15

Practice writing and solving quadratic equations.
Assignment
The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x
represents the smaller integer. Which equation can be factored and solved for the smaller integer?
O2 + x - 72 = 0
O2 + x + 72 = 0
x2 + 2x - 72 = 0
x2 + 2x + 72 = 0

Answers

Answer:

[tex]\boxed{\sf \ \ \ x^2 + x -72 = 0 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to use the distributive property which means that for a, b and c real numbers a(b+c)=ab+ac

So here we can write

[tex]x(x+1)=72\\<=> x*x+x*1=72\\<=> x^2 + x -72 = 0\\[/tex]

do not hesitate if you have any question

One square corral at a stable has an area of 625 ft2. If one side of the corral is along a barn, how much of the barn’s wall is used for the edge of the corral? A 25 ft B 50 ft C 100 ft D 200 ft

Answers

Answer:

Option A 25 ft is the correct answer.

Step-by-step explanation:

Given that:

One square corral at a stable has an area 625 [tex]ft^2[/tex].

And one side corral is along a barn.

To find:

How much of a barn's wall is used for the edge of corral?

Solution:

First of all, kindly refer to the attached figure to have a better understanding of the given dimensions and situation.

Given that Corral is square shape with Area, A = 625 [tex]ft^2[/tex]

Formula for area of a square is given as:

[tex]A = Edge^2[/tex]

Putting the value of A as given to find the Edge:

[tex]625 = Edge^2\\\Rightarrow Edge^2 =25 \times 25\\\Rightarrow Edge = 25\ ft[/tex]

It is given that one side of Corral is along a barn.

So, barn's wall used for the edge of corral = 25 ft

Option A 25 ft is the correct answer.

Answer: A 25ft I did it on edge and got it correct and please do as brainlest and have a good day.

wich rational number could be graphed between 0 and 1​

Answers

Answer:

1/4 is the answer

Step-by-step explanation:

I am not sure how to explain but the answer is 1/4

Answer:

1/4

Step-by-step explanation:

Consider the equations:
y=15x-45
y=12x+18
How many solutions do they have?

Answers

Answer: One solution

Explanation:

Because the two equation has a different slope and different y intercept

Answer:

1

Step-by-step explanation:

Both equations are linear, and they do not have an equivalent slope, therefore they MUST intercept each other once and only once.

Jenny has a $3,000 balance on her credit card with an 18% interest rate. If she makes no payments on her
card and no late fees were charged how long will it take her debt to double?

Answers

Answer:

5 years

Step-by-step explanation:

Firstly, Let's use a function to find how much Jenny owes every year.

Using f(t)=3,000(1.18)^t

We can find the amount of money jenny owes every year.

Now let's try to find how many years it would take her to double her credit card debt.

If we change t=5, we can see that the function gives us an output of 6,863.27 which is double the amount of which she currently owes.

Write each of the following expressions without using absolute value. |z−6|−|z−5|, if z<5

Answers

Answer: 6 - 5

Step-by-step explanation:

|z - 6| - |z - 5|    ; z < 5

Since z < 5, then

|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:

-(z - 6) =  -z + 6

|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:  

-(z - 5) = -z + 5

Now subtract them without the absolute value signs:

-z + 6 - (-z + 5)

Distribute the negative sign:

-z + 6 + z - 5

-z + z = 0 which leaves:

6 - 5

Answer: 1

Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3

Now we can write our new equation: (3-6)-(3-5)

now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.

Knowing that both parentheses are negative results we can set up an equation using z instead of 3:

-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer

Use the distributive property to remove the parentheses -5(2x-3w-6)

Answers

Answer:

15w - 10x + 30.

Step-by-step explanation:

-5(2x - 3w - 6)

= (-5 * 2x) + (-5 * -3w) + (-5 * -6)

= -10x + 15w + 30

= 15w - 10x + 30.

Hope this helps!

Answer:

[tex] - 10x + 15w + 30[/tex]

Step-by-step explanation:

[tex] - 5(2x - 3w - 6)[/tex]

Multiply each term in the parentheses by -5

[tex] - 5 \times 2x - 5 \times ( - 3w) - 5 \times ( - 6)[/tex]

Calculate the product

[tex] - 10x - 5 \times ( - 3x) - 5 \times ( - 6)[/tex]

Multiplying two negatives equals a positive [tex]( - ) \times ( - ) = ( + )[/tex]

[tex] - 10x + 5 \times 3w - 5 \times ( - 6)[/tex]

Calculate the product

[tex] - 10x + 15w - 5 \times ( - 6)[/tex]

Multiply the numbers

[tex] - 10x + 15w + 30[/tex]

Hope this helps..

Best regards!!

50 Pts!! Brainliest!! Answer ASAP, pls. Thx.

Answers

Answer:

Choice A

Step-by-step explanation:

First, let's simplify the equation. We get [tex]\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }[/tex] . Then, we can simplify. We now have [tex]\frac{3^{-3}m^{5} }{6n}[/tex] . To get rid of the negative exponent, we multiply the top and bottom by 3^3 to get [tex]\frac{m^{2} }{6nx3^{3} }[/tex]. Note that the x in the denominator stands for multiplication. 3^3 = 27, so we have [tex]\frac{m^{5} }{6n(27)} = \frac{m^{5} }{162n}[/tex]

Answer:

m^5/ 162 n

Step-by-step explanation:

( 3 m^-2 n) ^-3 / (6mn^-2)

We know a^ -b = 1/ a^b

1 / ( 3 m^-2 n) ^3 *(6mn^-2)

Distribute the power of 3

1 / ( 3^3 m^ -2 ^ 3 n^3) * ( 6m n^-2)

We know a^ b^ c = a^ ( b*c)

1 / ( 27 m^( -2 * 3) n^3) * ( 6m n^-2)

1 / ( 27 m^( -6) n^3) * ( 6m n^-2)

We know a^b * a^c = a^ ( b+c)

1 / ( 27*6 m^( -6+1) n^(3-2))

1/ (162 m^ -5 n^1)

We know a^ -b = 1/ a^b

m^5/ 162 n

what is x if x(x+3)(x+3)=0

Answers

Answer:

hello :

Step-by-step explanation:

x(x+3)(x+3)=0  means : x=0 or x+3=0 or x+3=0

x=0 or x=-3 or x=3

PLZ HELP. Will give brainliest if answered correctly with explanation.

Answers

Answer:

90 degrees

Step-by-step explanation:

given:

ABCD~EFGH

mB=mBCD=90

mBAD=128

find mFGH

this means that we are looking for angle G, and it is given that G is equal to C. it is also given that C is equal to B in mB=mBCD. finally, it is given that mB and mBCD, which are both equal, are 90 degrees. this means that mC is 90 degrees, and since mC is equal to mG, mG is equal to 90 degrees

A pair of dice is rolled. What is the probability that the sum of the two dice will less than 4 given that the first die rolled is a 2?

Answers

1/6 because the only way the sum can be less than 4 if the first die is a 2 is if the second die is a 1.

1285 students went on a field trip six buses were filled with the same number of students and seven other student travel in college how many students are in each bus

Answers

213 students were in each bus

Answer:

213

Step-by-step explanation:

1285 students -7 students travel : 1278

1287 students / 6 buses= 1278/6=213

213 students

In a certain sock drawer, there are 4 pairs of black socks, 3 pairs of gray socks and 2 pairs of orange socks. If socks are removed at random without replacement, what is the minimum number of socks that must be removed in order to ensure that two socks of the same color have been removed

Answers

Answer:

4 socks.

Step-by-step explanation:

There are three different colors of socks in the drawer: black, gray and orange.

The worst possible scenario for making a pair would be getting a different color of sock with the first three picks (1 black, 1 gray, 1 orange). Since we now have one of each, the next sock drawn from the drawer will form a pair with one of our three socks. Therefore, the minimum number of socks that must be removed in order to ensure that two socks of the same color have been removed is 4.

The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of points C are (0, -3). The origin is the mid –point of the base. Find the coordinates of the points A and B. Also find the coordinates of another point D such that BACD is a rhombus.

Answers

Answer

Point b is (0,0) Point a is (3,-2) Im not doing the second part

Step-by-step explanation:

Please answer this now in two minutes

Answers

Answer:

m∠P: 52 degrees.

m∠Q: 128 degrees.

Step-by-step explanation:

In a rhombus, opposite angles are equal, and all angles add to be 360 degrees.

This means that m∠P = m∠P, and m∠Q = m∠S. Because that is the case, m∠P + m∠Q = 180 degrees.

(2w - 62) + (w + 71) = 180

2w + w - 62 + 71 = 180

3w + 9 = 180

3w = 171

w = 57

Now that we have the value of w, we can find the m∠P and m∠Q!

m∠P: (2 * 57) - 62 = 114 - 62 = 52 degrees

m∠Q: (57 + 71) = 128 degrees

To make sure we are right...

128 + 52 = 180

Hope this helps!

find the solutions of x and y.

Answers

Answer:

x = 15, y = 4

Step-by-step explanation:

By Basic proportionality theorem, we have:

x/ 5 = 18/6

x = (18*5)/6

x = 90/6

x = 15

Again By Basic proportionality theorem, we have:

12/y = 18/6

y = (12*6)/18

y = 72/18

y = 4

Analyzing Data The snowfall data for Resort A are close to symmetric when they are shown in a box plot. The snowfall data for Resort B are not symmetric when they are shown in a box plot. Why is a box plot a good method to compare the data?

Answers

Answer:

Hey mate!

Here is your ans!

A box plot displays the accuracy and dispays the range and distribution of the data along the number line which majes it easier to study and get the accurate answers.

Hope it helped.. If yes mark me BRAINLIEST and follow me too!

Answer:

When comparing two sets of data, a box plot can show whether either set of data is symmetric. If the data are symmetric, then the mean equals the median. If the data are not symmetric, then the median will be a better measure of center than the mean.

Step-by-step explanation:

Sample response on edge :>

Rewrite in simplest radical form, thx :)

Answers

Answer:

The answer is

[tex] \sqrt[3]{ {x}^{2} } [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{ \frac{5}{6} } }{ {x}^{ \frac{1}{6} } } [/tex]

Since they have the same base and are dividing we can use the rules of indices

That's

subtract the exponents

So we have

[tex] {x}^{ \frac{5}{6} - \frac{1}{6} } [/tex]

[tex] {x}^{ \frac{4}{6} } [/tex]

[tex] = {x}^{ \frac{2}{3} } [/tex]

Rewriting it in radical form

We have the final answer as

[tex] \sqrt[3]{ {x}^{2} } [/tex]

Hope this helps you

I don't know why its correct. Help explain to me pls.

Answers

The rectangle they give you is 12 units tall. This is the result of scaling by a factor of 1.5, ie it is 1.5 times taller than what the answer will be. Let the answer rectangle have a height of h. This means h*1.5 = 12, or 1.5h = 12

Divide both sides by 1.5 to find that h = 8. The answer rectangle's height is 8 units.

The width's will be treated in a similar manner. I picked on the height since it's easier to see that the height lines up with 12 (the width seems to be between 2 and 4, but its not clear if its at the midpoint).

I need some help with this sorry guys

Answers

Answer:

35 graduates from university A had income below $20,000

Step-by-step explanation:

Directly from the data shown (see attached image) we see that 35 graduates from university A have income below $20,000

(Algebra || is Soo hard!) Please someone help me:)

Answers

Answer:

B

Step-by-step explanation:

B is the correct answer

2+i/5= i=5 +=-

have a nice day

Answer:

[tex]\boxed{\sf B) \ 2-i}[/tex]

Step-by-step explanation:

[tex]\sf \frac{2+i}{5}[/tex]

Reciprocal the fraction.

Switch the denominator with the numerator.

[tex]\sf \frac{5}{2+i }[/tex]

Multiply the numerator and the denominator with the conjugate [tex]\sf 2-i[/tex].

[tex]\sf \frac{5(2-i)}{(2+i)(2-i)}[/tex]

[tex]\sf \frac{10-5i}{(2+i)(2-i)}[/tex]

Apply rule to solve for the denominator:

[tex]\sf (a+bi)(a-bi)=a^2 +b^2[/tex]

[tex]\sf a=2\\b=1[/tex]

[tex]\sf \frac{10-5i}{2^2 +1^2 }[/tex]

[tex]\sf \frac{10-5i}{4+1}[/tex]

[tex]\sf \frac{10-5i}{5}[/tex]

Simplify the fraction.

[tex]\sf \frac{10}{5}-\frac{5i}{5}[/tex]

[tex]\sf 2-i[/tex]

HELP PLZZZ

If f(x)=3x+2, what is f(5)?

Answers

Answer:

[tex]f(5)=17[/tex]

Step-by-step explanation:

[tex]f(x)=3x+2[/tex]

[tex]f(5)=3(5)+2[/tex]

[tex]f(5)=15+2[/tex]

[tex]f(5)=17[/tex]

Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

f(5) = 3(5)+ 2

f(5) = 15 + 2

f(5) = 17

Other Questions
Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes. How many square meters could he make with 4 cloaks of fabric Now, let's see what happens when the cannon is high above the ground. Click on the cannon, and drag it upward as far as it goes (15 m above the ground). Set the initial velocity to 14 m/s, and fire several pumpkins while varying the angle. For what angle is the range the greatest? choices: A. 45 B. 20 C. 30 D. 40 E. 50 Which of these statements best sums up evolution?rapid change in species habits and featuresrapid development of vestigial structures in a specieschange in a population through new species being madechange in a population through genetic variation over time what is the explicit formula for this sequence ? The histogram represents the distributions of boilingtemperatures, in degrees Celsius, of tap water and amixture of salt water.Boiling Temperatures109876NumberofTrials5-Tap WaterSalt Water4 3N1098C99 C 100C 101 102 103 104CTemperature (C) choose three aspects of the painting that depict Manifest Destiny. PLEASE HELPPPP Fabins Spanish Club is visiting Mexico. Complete Fabins letter to his friend Emilio with the correct form of the verbs in parentheses. Por la tarde, l y Amanda ____________________ (correr) por la playa. a. corre c. corremos b. corren d. corres Will ran 1 2/3 laps of a 1/4 mile track. How far, in miles, did Will run on that track? Which statements describe the effects of indoor pollution? 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Find how far the car will go before it is brought to rest? Sales, Production, Direct Materials Purchases, and Direct Labor Cost Budgets The budget director of Gourmet Grill...Sales, Production, Direct Materials Purchases, and Direct Labor Cost BudgetsThe budget director of Gourmet Grill Company requests estimates of sales, production, and other operating data from the various administrative units every month. Selected information concerning sales and production for July is summarized as follows:a. Estimated sales for July by sales territory:Maine:Backyard Chef 310 units at $700 per unitMaster Chef 150 units at $1,200 per unitVermont:Backyard Chef 240 units at $750 per unitMaster Chef 110 units at $1,300 per unitNew Hampshire:Backyard Chef 360 units at $750 per unitMaster Chef 180 units at $1,400 per unitb. Estimated inventories at July 1:Direct materials:Grates 290 unitsStainless steel 1,500 lbs. Burner subassemblies 170 unitsShelves 340 unitsFinished products:Backyard Chef 30 unitsMaster Chef 32 unitsc. Desired inventories at July 31:Direct materials:Grates 340 unitsStainless steel 1,800 lbs. Burner subassemblies155 unitsShelves 315 unitsFinished products:Backyard Chef 40 unitsMaster Chef 22 unitsd. Direct materials used in production:In the manufacture of Backyard Chef:Grates 3 units per unit of productStainless steel 24 lbs. per unit of productBurner subassemblies 2 units per unit of productShelves 4 units per unit of productIn the manufacture of Master Chef:Grates 6 units per unit of productStainless steel 42 lbs. per unit of productBurner subassemblies 4 units per unit of productShelves 5 units per unit of producte. The anticipated purchase price for direct materials:Grates $15 per unitStainless steel $6 per lb. Burner subassemblies $110 per unitShelves $10 per unitf. 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For those boxes in which you must enter subtracted or negative numbers use a minus sign.Gourmet Grill CompanyDirect Materials Purchases BudgetFor the Month Ending July 31Grates(units) Stainless Steel(lbs.) Burner Sub-assemblies(units) Shelves(units) TotalRequired units for production: Backyard Chef Master Chef Desired inventory, July 31 Total Estimated inventory, July 1 Total units to be purchased Unit price $ $ $ $ Total direct materials to be purchased $ $ $ $ $4. Prepare a direct labor cost budget for July.Gourmet Grill CompanyDirect Labor Cost BudgetFor the Month Ending July 31StampingDepartment Forming Department Assembly Department TotalHours required for production: Backyard Chef Master Chef Total Hourly rate $ $ $ Total direct labor cost $ $ Hep pleaseeeee! Tyyy Edwin saw a gang of teenagers throw stones at his car. He saw the damage this caused and became very angry. He chased the teens, and although he could not get hold of them, he was able to recognize them. Edwin knew that it would be better to seek compensation for the damage done, rather than trying to retaliate. He reported the incident to the police, and swore he would sue the parents of the boys to make them pay for the damages to the car. Which of the following was the antecedent event in Edwin's emotion-charged situation? A. Being unsuccessful in catching the teens B. Chasing the teens C. Seeing the teens throw stones at his car D. Becoming angry To determine the concentration of chloride ion (Cl-) in a 100 mL sample of ground water, a chemist adds a large enough volume of AgNO3 solution to precipitate all Cl- as AgCl. The mass of the resulting precipitate is 93.9 mg. What is the chloride ion concentration in milligrams of chloride per liter of ground water Two years ago Joshua Ryan bought 100 XYZ at $60 per share. While he held the stock it paid dividends of $1 the first year and $1.50 the second year. Joshua sold the shares at $40 per share after a 2 for 1 stock split. How much gain or loss did he incur per share for tax purposes