A parabola has the following properties.
200R
Vertex at (-2, 1)
Directrix is x = 5
A
Which equation represents this parabola?
0 (x + 2) = (y – 112
O 28(x + 2) = (y - 1)2
o-28(x + 2) = (y - 1)2
O - (x + 2) = (y – 1)

A Parabola Has The Following Properties.200RVertex At (-2, 1)Directrix Is X = 5AWhich Equation Represents

Answers

Answer 1

Answer:

-28(x + 2) = (y - 1)²

Step-by-step explanation:

..............

Answer 2

The equation (y + 1)² = -12(x - 2) represents the given parabola.

What is a parabola?

A parabola is a U-shaped plane curve. It is assumed to be mirror symmetrical. A parabola is produced by the intersection of a right circular cone and a plane parallel to the cone.

The vertex is at (-2, 1) and the directrix is x = 5.

Therefore, the vertex of the given parabola is at 2nd quadrant.

Again, the directrix is also parallel to the y-axis.

As a result, the parabola will open towards the left.

The general form of a parabola is (y - k)² = 4a(x - h)

Here, h and k are x and y coordinates respectively of the vertex.

Now, the coordinates of the focus are (h + a , k) and the directrix is at x = h − a.

Therefore, h - a = 5 (as, x =5)

⇒ 2 - a = 5

⇒ a = -3

Therefore, the equation of the parabola is (y − k)² = 4a(x − h)

⇒ [y - (-1)]² = 4(- 3)(x - 2)

⇒ (y + 1)² = -12(x - 2)

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

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A Parabola Has The Following Properties.200RVertex At (-2, 1)Directrix Is X = 5AWhich Equation Represents

Related Questions

The triangles shown are similar. Which similarity statement expresses the relationship between the two triangles?

Answers

Answer: Number 2

Explanation: it is in the right order and has the right symbol

Answer:

C

Step-by-step explanation:

if you got this answer ED 2022

The volume of this sphere is 4500m³.
Find the length of the radius, r.

Answers

Answer:

[tex]r=\frac{15\sqrt[3]{\pi ^2} }{\pi }[/tex]  meters

[tex]r=10.24[/tex]  meters

Step-by-step explanation:

Here is the equation for the volume of a sphere

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

Lets solve for [tex]r[/tex].

Multiply both sides of the equation by [tex]\frac{1}{\frac{4}{3}\pi}[/tex].

[tex]\frac{1}{\frac{4}{3}\pi}(\frac{4}{3}*(\pi r^3))=\frac{1}{\frac{4}{3}\pi}V[/tex]

Simplify the left side.

Combine [tex]\frac{4}{3}[/tex] and [tex]\pi[/tex].

[tex]\frac{1}{\frac{4\pi }{3}}(\frac{4}{3}*(\pi r^3))=\frac{1}{\frac{4}{3}\pi}V[/tex]

Multiply the numerator by the reciprocal of the denominator.

[tex]\frac{3}{4\pi } (\frac{4}{3}*(\pi r^3))=\frac{1}{\frac{4}{3}\pi}V[/tex]

Cancel the common factor of [tex]\pi[/tex] by factoring it out of the first term.

[tex]\frac{3}{4} (\frac{4}{3}*r^3)=\frac{1}{\frac{4}{3}\pi}V[/tex]

Combine [tex]\frac{4}{3}[/tex] and [tex]r^3[/tex].

[tex]\frac{3}{4}*\frac{4r^3}{3}=\frac{1}{\frac{4}{3}\pi}V[/tex]

Multiply the numerators on the left side of the equation. Then multiply the denominators.

[tex]\frac{12r^3}{4*3}=\frac{1}{\frac{4}{3}\pi}V[/tex]

[tex]\frac{12r^3}{12}=\frac{1}{\frac{4}{3}\pi}V[/tex]

Cancel the common factor of 12.

[tex]r^3=\frac{1}{\frac{4}{3}\pi}V[/tex]

Simplify the right side.

Combine [tex]\frac{4}{3}[/tex] and [tex]\pi[/tex].

[tex]r^3=\frac{1}{\frac{4\pi }{3}}V[/tex]

Multiply the numerator by the reciprocal of the denominator.

[tex]r^3=\frac{3V}{4\pi }[/tex]

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

[tex]r=\sqrt[3]{\frac{3V}{4\pi } }[/tex]

Now we have an equation to find the radius.

Substituting our number for volume gives us

[tex]r=\sqrt[3]{\frac{3*4500}{4\pi } }[/tex]

Enter this into a calculator

[tex]\sqrt[3]{\frac{3*4500}{4\pi } }[/tex]

You can leave the answer in simplest radical form or as a decimal.

[tex]r=\frac{15\sqrt[3]{\pi ^2} }{\pi }[/tex]

[tex]r=10.24[/tex]

A rating/review would be much appreciated. Hope this helps!

simplifica la expresion 3(6-2)+4³÷8_3²=​

Answers

Answer:

la ma espole

Step-by-step explanation:

Answer:

11................. ..............

The cost c in pounds of hiring a van for d days is given by the formula c=10+45d work out the cost for 5 day

Answers

cost for five days = 235
5 x 45 = 225
225 + 10 = 235!!!

The cost c in pounds of hiring a van is 235

The cost c in pounds for 1 day =45

Then cost c in pounds for  five days is c=10+45d

Which is multiple 5 days to the 45

5 x 45 = 225

Add the 10 to the answer

225 + 10 = 235

The cost  of a van hiring for number of days is 5

Then the final answer for cost c in pounds of hiring a van for five days are 235

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9. A company made jewelry boxes in the shape of right rectangular prisms.
The box measures 4 in. wide, 6 in. long, and 45 in. tall. What is the
volume of the jewelry box?
145 cubic inches
A
B.
28 cubic inches
C.
96
96 cubic inches
D.
108 cubic inches

Answers

Answer:

d

Step-by-step explanation:

4*6*45=1080/10=108 in

Taylor's band is recording their first studio album at Midnight Studios. The studio's
day rate is $75 per day with a fee of $50 per hour for their sound engineers. The
band has $375 and they think they can earn up an additional $200 off merch sales.
What is the range of hours the band can record at the studio within their budget?

Answers

Number of Hours the band can record there music is 10hrs

What are Word Problems ?

A word problem is a type of mathematics exercise where the majority of the issue's context is supplied in spoken language as opposed to mathematical notation.

A math word problem is a question that is phrased as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Word issues, also known as narrative problems, may be found in both daily life and the Common Core State Standards for every school level, from K to 12. For everything from counting pennies to calculating a gratuity, you can utilize the three primary forms of word problems: part-part whole, separate and join, and multiply and divide.

Total money the band has after selling the merch is = $375 + 200 = $575.

Rate for studio is $75 per day.

Total money left = $575 - 75 = $ 500

So number of Hours the band can record there music is= 500/50 = 10hrs.

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Teddy works part-time in the Sony Store. He has a base salary of $12.50/h plus a commission of 12% of the total sales he makes.

If Teddy works 10 hours and sells $1500 electronics, how much will he earn this week?

Answers

Answer: $305

Step-by-step explanation:

1) 12.50 multiplied by 10= 125

2) 12% of 1500 is 180

3) 125+180=305

hey any help? (please make sure this is correct i'd appreciate it)

Answers

Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

       

A tank is 80c ,nu 60cm by 75cm, find the volume of water that will fill up

Answers

A tank that is 80 cm tall and has a base that is 60 cm by 75 cm.

To find the volume of the tank, you can use the formula for the volume of a rectangular prism, which is:

Volume = length * width * height

Using the dimensions given, we can plug them into the formula as follows:

Volume = 60 cm * 75 cm * 80 cm = 4,500 cm^3

This means that the tank has a volume of 4,500 cubic centimeters, and it would take 4,500 cubic centimeters of water to fill it up

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Answer:

Step-by-step explanation:

To find the volume of water that will fill up a tank that is 80 cm tall, 60 cm wide, and 75 cm deep, you can use the formula for the volume of a rectangular prism. The formula for the volume of a rectangular prism is length x width x height, so in this case, the formula would be:

60 cm x 75 cm x 80 cm = 36,000 cm^3

So the volume of water that will fill up the tank is 36,000 cubic centimeters.

Alternatively this also can be written as 806075 cubic cms

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Evaluate the expression: 18-3(1+4)

Answers

Hopes this helps:

Answer: 3

Simplify 1 + 4 to 5.
18 - 3 • 5


Simplify 3 • 5 to 15.
18 - 15


Simplify.
3

Have a great day.

Answer:

3

Step-by-step explanation:

Multiply 3*5

than calculate 18-15

you will get the solution 3

REMEMBER PEDMAS ( parentheses, expodents, divide, multiply, add and subtract

Can't seem to figure out ​

Answers

You can look this up

Solve for x.
2x + 6
X + 9
x = [?]

Answers

Answer:

wheres the y

Step-by-step explanation:

Answer:

Solution given:

2x+6+x+9=180°[alternative exterior angle is a supplementary]

3x=180-15

x=165/3

x=55

The graph of g(x) = f(x+4) is the graph of f(x) moved 4 units________​

Answers

Answer:

to the left

Step-by-step explanation:

This looks backwards to some, but it's correct: replacing  x  with  x + 4  in a function moves the graph 4 units to the left.

The reason?

Just suppose that f(6) = 7.  To get f(x + 4) to equal 7, you have to use 2 as a value for  x,  4 units less than the 6 that was used before.

See attached image for an example.

[tex]y=x^2[/tex]  is the black graph

[tex]y=(x+4)^2[/tex]  is the red graph

Are The Numbers 16,64,18 and 72 In Proportion​

Answers

Answer: Yes.

Step-by-step explanation: They are in 1:4::1:4

Hope this helps

Answer:

Yes

Step-by-step explanation:

Are The Numbers 16,64,18 and 72 In Proportion​?

A proportion is an equation in which two ratios are set equal to each other

16 : 64 = 18 : 72

0.25 = 0.25

or

1/4 = 1/4

so your answer is yes

Gordon, June and Sushil share some sweets in the ratio 4:4:3. Gordon gets 11 more sweets than Sushil. How many sweets are there altogether?​

Answers

Answer:

121

Step-by-step explanation:

4:4:3

4x-3x=11

x=11

Gordon 44

June 44

Sushil 33

Complete the following ordered pairs
(x,y) so that they satisfy the equation
5x+3y=15.

(-6,3)
(3,0)
( , -10)
(, 10)

Answers

Answer:(0,5

Step-by-step explanation:

Jackson has a bag of candy full of 10 strawberry chews and 10 cherry chews
that he eats one at a time. Which word or phrase describes the probability
that he reaches in without looking and pulls out a cherry chew?
an equal chance or 50-50
O impossible
Submit Answer
certain
likely

Answers

an equal chance 50/50

X 1 3 5 7
у -9 -17 -25 -33
find the equation of the linear function represented by the table in slope intercept form

Answers

The equation of the linear function represented by the table in slope intercept form is y = -4x - 5.

What is slope-intercept form?

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

Given two points (x,y), the slope is the change in y divided by the change in x.

The points are (1,-9) and (3,-17) -

m = (y2-y1)/(x2-x1)

m = [-17-(-9)]/(3-1)

m = -8/2

m = -4

Then the slope equation will be -

y = -4x + b

Taking points (1,-9) and substituting in the equation to get the value of b -

-9 = -4(1) + b

-9 = -4 + b

-9 + 4 = b

b = -5

Therefore, the slope intercept form of equation is y = -4x - 5.

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Why do owls get invited to parties?

Answers

Cuz they are funowls!

Answer:

theyre such a hoot!

Step-by-step explanation:

A store sells the basic model of a phone for $60 and the upgraded model for $200. It costs the store $10 to buy each basic model and $50 to buy each upgraded model from the phone company. On Tuesday, the store has $1,800 in sales for these two models, and it paid the phone company $400 to buy these phones. How many upgraded models did the store sell on Tuesday?
6 upgraded phones
10 upgraded phones
15 upgraded phones
42 upgraded phones

Answers

15 upgraded phones add them all up subtract the biggest from smallest then divide 2 sums to get your answer

Answer:

Step-by-step explanation:

C.) 15 upgraded phones

Need help I can’t solve it

Answers

Answer:

  Coupon A is better by $2.80.

Step-by-step explanation:

You want to know how much better the best price is between coupon A's $55 rebate on $87 worth of pants, or coupon B's 60% off.

Reduction

The price reduction offered by coupon B is ...

  0.60 × $87 = $52.20

Comparison

Clearly, the $55 reduction offered by coupon A is a greater reduction than the $52.20 reduction offered by coupon B. The difference in value is ...

  $55.00 -52.20 = $2.80

Coupon A gives the lower price by $2.80.

i love yall thx for helping

Answers

Answer:

A is the answer check once before you submit

Step-by-step explanation:

No need to say thank

The temperature at a mountain cabin on
Saturday morning measured -12 degrees
Fahrenheit. The temperature decreased
another 8 degrees Saturday night. In
degrees Fahrenheit, what was the
temperature at the cabin Saturday night?
G-12 H 12
F -20
J -4

Answers

On Saturday night, the temperature at the mountain cabin decreased another 8 degrees from -12 degrees Fahrenheit, so the temperature at the cabin on Saturday night was -12 degrees - 8 degrees = -20 degrees Fahrenheit.

-12 + (-8) = -20
F-20

what is 3 3/4 - 1 1/4?

Answers

Answer:

2 2/4 or 2 1/2

Step-by-step explanation:

3-1=2

3/4-1/4=2/4

2/4=1/2

Special right triangles.
Find u.
Please help due in 30 min!!

Answers

Answer:

2 km

Step-by-step explanation:

use the 45-45-90 triangle formula to find u.

Solve the exponential equation. 1/16 = 64^4 x − 3

Answers

Answer:

x=7/12

Step-by-step explanation:

1/16=64^4x-3

1/4^2=(4^3)^4x-3

4^-2=(4^3)^4x-3

4^-2=4^3*(4x-3)

Since the bases are equal (to 4), the exponents must be equal to each other.

-2=3*(4x-3)

-2=12x-9

-2+9=12x

7=12x

7/12=x

x=7/12

So the answer is x=7/12

Please mark me brainliest if this helped!

evaluate 6²-2(5+1+3)

Answers

Answer:

18

Step-by-step explanation:

36-10-2-6

26-8

18

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{6^2 - 2(5 + 1 + 3)}\\\mathsf{= 6^2 - 2(5) - 2(1) - 2(3)}\\\mathsf{= 6^2 - 10 -2(1) - -2(3)}}\\\mathsf{= 6\times 6 - 10 - 2(1) - 2(3)}\\\mathsf{= 36 - 10 - 2(1) - 2(3)}\\\mathsf{= 26 - 2(1) - 2(3)}\\\mathsf{= 26 - 2 - 2(3)}\\\mathsf{= 24 - 2(3)}\\\mathsf{= 18}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{18}}\huge\checkmark[/tex]



[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

When Yosef was born, his parents put $1000 into a savings account that earns 4%
interest each year. How much will be in the account when he is 21?

Answers

Answer:

$840 interest

Step-by-step explanation:

4% of 1000 is 40

40•21= 840

If you are adding the interest rate and the $1000 together then you get $1840

Hope this helps

Which of the following is the solution to the inequality below?
-6(4- x) < -4(x + 1)

Answers

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:

bit.[tex]^{}[/tex]ly/3gVQKw3

You didn’t provide the list of the answer choices but I’m sure the answer is x < 2.

Instructions: find the missing side length in the image below

Answers

Answer:

16

Step-by-step explanation:

same as other side should be

but i dont know why theres a 45 :(

Length of missing side is 36 units.

What is Ratio?

Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

Let length of missing side is x

Since horizontal lines are parallel, so ratio of sides are equal

20/16 = 45/x

x= (45/20)16

x = 36

Hence, length of missing side is 36 units.

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The Chess Club president brought donuts to the club meeting each week. As the club grew, more donuts were needed so that each member could have a donut. The table below shows the ratios of boxed donuts to the cost.Donuts A 4 5 CCost 13.80 27.60 B 55.20Determine which table has the correct values for A, B, and C.Donuts 3 4 5 7Cost 13.80 27.60 34.95 55.20Donuts 2 4 5 8Cost 13.80 27.60 34.95 55.20Donuts 3 4 5 6Cost 13.80 27.60 34.50 55.20Donuts 2 4 5 8Cost 13.80 27.60 34.50 55.20 Make a 4 word poem about life please help me, I'm from Vietnam you can translate which description is an example of an allegory?A. S. E. Hinton's The Outsiders deals with the danger of the stereotypes as well as the power of love between brothers in the world of a teenager.B. William Spenser's The Faerie Queene follows the quests of several knights who seek to better themselves, but it symbolically gives honor to Queen Elizabeth I and her kingdom.C. The Westing Game by Ellen Raskin tells the story of 16 heirs to a large inheritance who must discover their benefactor's killer in order to inherit the money.D. A Separate Peace by John Knowles deals with the heartache and confusion of growing up as well as the impact of friends and enemies on a person's life. Please help me!!!! I'm terrible at math. Please!! HELP!!!A rectangular prism has a volume of 6x^413x^35x^2. What expressions can represent the dimensions of the prism? Use factoring. differentiate between RAM and ROM What is one main principle of capitalism?O Businesses are able to participate in free trade.O The government maintains control of industry.O Individuals do not take part in economic decisions.O Most factories and businesses are publicly owned. A circle has its center at (2,3). One point on the circle is (-2,5). Which isanother point that lies on the circle? Patrimonio de la humanidad3. Muchas ciudades son seleccionadas por su riqueza histrica y_______________como es el caso de Santiago de Compostela. How do you find the domain and range of a graph in Algebra 2? PLEASE HELP ME DUE TODAY NOW ASAP THANKS What are the steps in preparing a presentation? I dont know just need the answer the period known as the renaissance led to a new learning in: only in artonly in scienceonly in religion awide variety of fields What happens when you add 1/3 to negative 1/3? 50 POINTS !!PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS. 10. Which of the following organelles is involved in thedigestion of other worn-out organelles?A. LysosomeB. EndosomeC. Golgi apparatusD. Rough endoplasmic reticulum What involves identifying and understanding your personal and work values, interests, abilities, aptitudes, and personality traits In a random survey, people were asked how many pairs of shoes they own.The results are recorded in the graph below.Pairs of ShoesStemLeaf03 711 2 72.1 5 6 831 3 74O 5 851 3 7What is the median number of pairs of shoes in this survey? A group of 36 people from the Nantucket recreation center plans to purchase tickets for a cruise to Permut Bermuda the standard fare for an individual ticket is $1200 the group is informed that because of the size of the group the standard fare will be reduced by 30% with a discount of 30% how much does each member of the Nantucket recreation center have to pay for a cruise ticket show or explain how you got your answer (SOMEONE PLEASE HELP)