Parabolas A and B both have a focus at (2, 2). Parabola A has a directrix at x = -1 and parabola B has a directrix at x = 5. What is the distance between the vertices of the two parabolas?
A. 1.5
B. 3
C. 4
D. 5
E. 6

Answers

Answer 1

Parabola A: directrix is at x = -1 and focus is at (2,2) so the vertex is the midpoint between those.  Vertex = (0.5, 2)

Parabola B: directrix is at x = 5 and focus is at (2,2) so the vertex is the midpoint between those.  Vertex = (3.5, 2)

Distance between Vertex A and Vertex B is the distance between (0.5, 2) and (3.5, 2) = 3

Answer: B


Related Questions

Hector is visiting a cousin who lives 350 miles away he has driven 90 miles how many more miles does it take to drive to reach his cousin's home

Answers

260 more miles,since 350-90=260

17/21- (3/7 + 2/7) please answer quick

Answers

Answer:

2/21

Step-by-step explanation:

17/21 -(3/7 + 2/7)

First you add

=17/21 - (5/7)

Then you want to subtract

=2/21

Answer:

The answer is 2/21

Step-by-step explanation:

Step 1: simplify 2/7

Step 2: simplify 3/7

Step 3: Adding fractions which have a common denominator

So it would be - 3+2/7 = 5/7

So the new equation would be 17/21 - 5/7

Step 4: simplify 17/21

Step 5: Calculating the LCM (Least Common Multiple)

The LCM is 21

17-(5 × 3)/21 = 2/21

Describe the end behavior of the function

its falls to the left falls to the right???? but what is that mean

Answers

we are given

[tex]f(x)=-2x^4-x^3+3[/tex]

We will find degree and leading coefficient

Degree:

The highest degree term in polynomial is degree

so, degree =4

which is even

Leading coefficient:

It is constant term multiplied with highest degree term

so, leading coefficient =-2

which is negative

so,

option-B.......Answer

Write all of the factors 12 and 18 have in common

Answers

2 and 6 can go into it evenly

Number 12 have factors 12 = ( 1,2,3,4,6,12)

Number 18 have factors 18= ( 1,2,3,6,9,18 )

According to this we can conlude that numbers 12 and 18 have in common (1,2,3 and 6).

Good luck!!!

Hideko's co-payment is 20% of 23,890. Her co-payment is

Answers

Total amount = 23890

Co- payment =20% of total amount

So (20/100)( 23890)

20% of 23890 = 4778

Answer is 4778

Solution is also given in attachment below

2x2 - 3x - 2 = x + 4.check all of the solutions to this equation.-137(–1, 3)(3, 7)

Answers

Answer:

-1 and 3

Step-by-step explanation:

Final answer:

The equation can be solved using the quadratic formula, resulting in two possible solutions: x = (-3 + √25) / 4 and x = (-3 - √25) / 4.

Explanation:

This equation can be solved using the quadratic formula. For an equation of the form ax² + bx + c = 0, we rearrange it to 2x² - 3x - 2 = x + 4.

Now, using the quadratic formula, we can solve for the values of x:

x = (-b ± √(b² - 4ac)) / (2a)

Substituting the values a = 2, b = -4, and c = -6 into the formula, we get:

x = (-(-3) ± √((-3)² - 4(2)(-2))) / (2(2))

After simplification, we have x = (-3 ± √(9 + 16)) / 4

Which gives us two solutions: x = (-3 + √25) / 4 and x = (-3 - √25) / 4

Learn more about Quadratic equations here:

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The product of a number p p and six is written as

Answers

"Product" tells you to multiply the two terms given.

p * 6 = 6p

Also, check your keyboard or whatever device you are using, it's doubling up the variable. It happened in your other question (source: https://brainly.com/question/11261394) as well.

What is 20x30 i need the answer nowwwwwwwwwwwwww

Answers

Answer: 600

Step-by-step explanation:

   20    x    30

= 2 x 10 x   3 x 10

= 2 x 3   x  10 x 10

=    6      x     100

=         600

Which system sends nutrients to all the body's cells? excretory system nervous system circulatory system endocrine system

Answers


The answer is circulatory

Answer:

circulatory system

Step-by-step explanation:

A number is multiplied by 3.
If 3 is subtracted from the product you get 24.

What is the number?
A. 6
B. 7
C. 8
D. 9

Answers

It's 9
this is because if you subtract 27-3 you get 24
and since you mulitiplied it the opposite is division so 27/9 = 3
so the answer is d.9
The answer is 9 hope this helps

Evaluate:

8C6
A.
28
B.
48
C.
56
D.
112

Answers

[tex]C^n_m=\left(\begin{array}{ccc}m\\n\end{array}\right)=\dfrac{m!}{n!(m-n)!}\\\\C^6_8=\left(\begin{array}{ccc}8\\6\end{array}\right)=\dfrac{8!}{6!(8-6)!}=\dfrac{6!\cdot7\cdot8}{6!\cdot2!}=\dfrac{7\cdot8}{1\cdot2}=\dfrac{56}{2}=28[/tex]

Answer:

28 because I have done this

Step-by-step explanation:

Hellllllllllllllllllp !

Answers

4300 + (3200*2) = 10,700 dollars
131,400 - 10,700 = 120,700
120,700 ÷ 13 = $9284.61

the answer is $9284.61
Answer is $9284.61 hope this helps bro

A number has the digit 3 in the ones place and the digit 4 in the tens place. Which of these is another way to write this number? 3+4 40+3 30+4

Answers

40+3=43
Four is in the tens place and three is in the ones place
Final answer:

The number with 4 in the tens place and 3 in the ones place can be alternatively written as 40+3. This is because 4 in the tens place actually equates to 40.

Explanation:In this case, the number in question has the digit 3 in the ones place and the digit 4 in the tens place. When we understand place value, we can see that '4' in the tens place actually represents 40, whereas '3' in the ones place represents 3. Therefore, another way to write this number is 40+3.

So, out of the options 3+4, 40+3, and 30+4 given, 40+3 is the correct representation of the number.

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please help on this one and show work for brainliest

Answers

Really isn't a problem to show work on, considering that they've given you a graph.

The y-intercept is obviously -6, to find the slope I would just observe the rise over run. It goes up 4 and over 1 unit. So it should be 4/1 or just 4.

C. y=4x-6 is your answer.

Please help!!!!!!!!!!!!!!!!!!!!!!!!! 100 points!

Answers

Answer:

Your answer is B or option 2.

Step-by-step explanation:

When doing scale factors, you will multiply. Always. To get from the original box to the second box, you will multiply by a scale factor of 5/8. An equation can model this. b=5/8a. (Let a = dimensions of original/blue box, let b = dimensions of second/green box).

Since you need to find the dimensions of the first/original box, you need to change b=5/8a to a= [something]. To do that, divide both sides by 5/8. You have b / 5/8 = a. The dimensions of the second box divided by the scale factor 5/8 is the dimensions of the first box. This also makes sense, because the green box looks smaller than the blue box. Hope I helped! This is a challenging subject to explain properly. ^_^"

oh yeah kekeke my name is pizaz/pzaz, what a coinkidink

The answer is D.

Since the original rectangle is bigger, we are going to divide the dimensions in the smaller triangle by the scale factor 5/8. An easy hint to look at in this question is an answer choice that both dimensions are bigger than the dimensions of the smaller rectangle. All the other choices are incorrect because the dimensions of the original triangle are not bigger than that of the smaller triangle which makes them false.

Best of Luck!

Susan's uncle from Japan promised to give her 41 g of gold. The local jewelry exchange will buy gold for $1286 per ounce.

Answers

Answer:

The answer is $1851.84.

Given data:

Gold Susan has = 42 g

Price of gold = $1286 per ounce

Price of gold Susan has = ?

Solution:

1 Ounce = 28.34 g

1 g = 1/28.34 ounce

41 g = 1/28.34 * 41

       = 1.44 Ounce.

Price of gold for 1 ounce      = $1286

Price of gold for 1.44 ounce = 1286 * 1.44 = $1851.84

helpppppppppppppppppppp

Answers

I believe the answer for the first question is A. but not 100% sure, it's the only one I can figure out to be right.

The answer for the second question is C. 90% of 30 is 27.

I hope this helps.
Question 29

Bank Card is charging 1.7% monthly interest

You were charged $175 and want to find the interest you owe


1.) Convert 1.7% to a decimal, which is 0.017


2.) Multiply $175 (price of the charge) with 0.017 (percentage in decimal form) to find out how much you owe

$175 x 0.017 = $2.975

Round that up to $2.98



Question 30

90% of doctors interviewed chose Brady's

30 doctors were interviewed


1.) Convert 90% to a decimal, which is 0.90


2.) Multiply 30 (doctors) with 0.90 (percentage in decimal form) to find out how many doctors preferred Brady's brand

30 x 0.90 = 27 doctors

27 doctors preferred Brady's Aspirin brand

Ron is tiling acountertop.He needs to place 54 square tiles in each rows of 8 to cover the counter.He wants to randomly place 8 groups of 4 blue tiles each and have rest of the tiles be white how many white tiles will ron need?

Answers

i think it is  because he needs to place 54 tiles and he needs 8 groups of 4 blue tiles therefore he has 32 blue tiles and 54-32= 22

1400000000000000000000km in scientific notation

Answers

1 400 000 000 000 000 000 000 km = 1.4 * 10^21 km

what is this movie movie about a woman who gets robbed by men. calls the police but for some reason the police cant show up so they stayed on the phone with her. the woman has cameras so the police can see the cameras and they watch the cameras to help her stay safe and take down the robbers. the movies starts out with the woman drink wine with a friend i believe.

Answers

The movie is called "Home Invasion".

Here's the plot of the movie:

Chloe Paige (Natasha Henstridge) and her stepson Jacob (Liam Dickinson) live in an isolated mansion in an island. Chloe's husband is traveling and she does not know his whereabouts. One stormy night, Chloe is drinking wine with her friend Alice (Johannah Newmarch) when a car arrives and Alice believes they are strangers needing information. When she leaves the house, she is murdered by a masked man. Chloe closes the front door and calls the police and the home security company. However the police can not cross the bridge that was damaged by the criminals. Meanwhile the trio of criminals breaks in Chloe's house. The security agent Mike (Jason Patric) uses the security cameras to advise Chloe where to hide. The trio is looking for a safe and for Chloe while she is hidden with Jacob. Will the police arrive in time to save Chloe and Jacob?

Name of the movie you are looking for is Home Invasion. Its a really movie movie too, l think.

Jordan works in a science lab where he is studying the behavior of a certain unstable isotope. He has 240 milligrams of the sample, and the amount of the substance remaining in the sample decreases at a rate of 8% each day. After t days, there are less than 115 milligrams of the substance remaining. Which inequality represents this situation, and after how many days will the amount of the sample be less than 115 milligrams?

Answers

Answer:

After 8.82 days the amount of substance is less than 115 milligrams

Step-by-step explanation:

If x (t) represents the amount of substance in the sample after t days. So

[tex]x(t) = P_{t-1}- 0.08P_{t-1}[/tex] with [tex]t \geq 1[/tex]

Where Pt is the amount of substance in the sample on day t.

[tex]x (1) = 240 -0.08(240)\\ x (2) = 240 -0.08(240) - 0.8 [240 -0.08(240)][/tex]

Then x (t) can be written as:

[tex]x (t) = 240(1-0.08) ^ t[/tex]

After t days there are less than 115 milligrams of the substance, then:

x (t) <115

[tex]240(1-0.08) ^ t <115[/tex]  This is the inequality that the situation represents.

Now we clear t.

[tex](0.92) ^ t <0.4792\\ t * ln (0.92) <ln (0.4792)\\\\ t>\frac{ln (0.4792)}{ln (0.92)}\\\\ t> 8,823[/tex]

After 8.82 days the amount of substance is less than 115 milligrams

PLEASE HELP!!!!!


6 1/2 lb (six and a half pound) = ___ oz ( equals how many ounces) ?



THANK YOU!!!!


A. 104

B. 108

C. 112

D. 136


THANKS AGAIN!!! :)

Answers

Hey there! :)

Remember:

16 oz = 1 lb

So, 6 * 16 = 96  ( 6 pounds = 96 ounces)

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

Half a pound = 8 ounces ( 8 + 8 = 16)

Add:

96 + 8 = 104


Therefore, your answer is Option A. 104.

There are 104 ounces in 6 1/2 lbs.


I hope this helps! Feel free to ask any questions or comment if you need me to further explain the steps.

Samuel needs 332 feet of wood to bulid a fence the wood comes in lengths of 15 feet .How many total piece of wood will samuel need ? Theresa needs twice as many feet of wood samuel ? How many pieces of wood does theresa need ?

Answers

Samuel needs 22 pieces of wood

question in the attached below. @grujan50

Answers

The first answer is ''Linear pair postulate''

The second answer is ''Definition of suplementary''

The third answer is  ''m∡ACB+45=180''

The fourth answer is ''Subtraction Property of Equality''

The fifth answer is ''∡ACB is obtuse''

The sixth answer is ''Definition of obtuse triangle''

Good luck!!!

If the blue radius below is perpendicular to the green chord and the segment BC is 7.6 units long, what is the length of the chord?

A. 15.2 units

B. 3.8 units

C. 30.4 units

D. 7.6 units

Answers

Answer:

The correct answer is A. 15.2 units

Step-by-step explanation:

The segment AB is congruent to the segment BC  eg AB≅BC Why?

We can prove it with the triangle congruent theorem, postulate side-side-angle

We are watching triangle ΔABO and triangle ΔCBO, they are congruent

first element side OB=OB - common side

second element side OA=OC=r - radius of the circle

third element angle ∡ABO≅∡CBO=90°

According to the postulate side-side-angle we can conclude that triangles

ΔABO≅ΔCBO (triangles are congruent)

If they are congruent all of their elements are also congruent and therefore also

side AB=BC  => AB+BC=AC,  which is chord  => 7.6+7.6=15.2 units

AC= 15.2 units ( chord )

Good luck!!!


Answer:

The correct answer is A. 15.2 units!

Step-by-step explanation:

Spencer wrote the following paragraph proof showing that rectangles are parallelograms with congruent diagonals. Quadrilateral R E C T is shown with right angles at each of the four corners. Segments E R and C T have single hash marks indicating they are congruent while segments E C and R T have two arrows indicating they are parallel. Segments E T and C R are drawn. According to the given information, quadrilateral RECT is a rectangle. By the definition of a rectangle, all four angles measure 90°. Segment ER is parallel to segment CT and segment EC is parallel to segment RT by the ________________. Quadrilateral RECT is then a parallelogram by definition of a parallelogram. Now, construct diagonals ET and CR. Because RECT is a parallelogram, opposite sides are congruent. Therefore, one can say that segment ER is congruent to segment CT. Segment TR is congruent to itself by the Reflexive Property of Equality. The Side-Angle-Side (SAS) Theorem says triangle ERT is congruent to triangle CTR. And because corresponding parts of congruent triangles are congruent (CPCTC), diagonals ET and CR are congruent. Which of the following completes the proof? Alternate Interior Angles Theorem Converse of the Alternate Interior Angles Theorem Converse of the Same-Side Interior Angles Theorem Same-Side Interior Angles Theorem

Answers

We have to prove that rectangles are parallelograms with congruent Diagonals.

Solution:

1. ∠R=∠E=∠C=∠T=90°

2. ER= CT, EC ║RT

3.  Diagonals E T and C R are drawn.

4. Shows Quadrilateral R E CT is a Rectangle.→→[Because if in a Quadrilateral One pair of Opposite sides are equal and parallel and each of the interior angle is right angle than it is a Rectangle.]

5.  Quadrilateral RECT is a Parallelogram.→→[If in a Quadrilateral one pair of opposite sides are equal and parallel then it is a Parallelogram]

6. In Δ ERT and Δ CTR

(a) ER= CT→→[Opposite sides of parallelogram]

(b) ∠R + ∠T= 90° + 90°=180°→→→Because RECT is a rectangle, so ∠R=∠T=90°]

(c) Side TR is Common.

So, Δ ERT ≅ Δ CTR→→[SAS]

Diagonal ET= Diagonal CR →→→[CPCTC]

In step 6, while proving Δ E RT ≅ Δ CTR, we have used

(b) ∠R + ∠T= 90° + 90°=180°→→→Because RECT is a rectangle, so ∠R=∠T=90°]

Here we have used ,Option (D) : Same-Side Interior Angles Theorem, which states that Sum of interior angles on same side of Transversal is supplementary.

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Answers

uh......huh?? I will look this thingie up for you, I have no clue, but I will. Have a PHENOMANAL night!

Answer:

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need help with these 3 math questions on functions please.

Answers

Q4.

[tex]f(x)=\sqrt{x}+4\\\\D:\ x\geq0[/tex]

Answer: all real numbers greater than or equal to 0.

Q.

The range is read from the y axis. Therefore the range = (-∞ , 1]

Answer: {y | y ≤ 0}

Q.

The first part of the graph has a slope = 2, therefore it's y = 2x.

The second part of the graph is horizontal line y= 4.

Therefore your answer is:

[tex]f(x)=\left\{\begin{array}{ccc}2x&if&x < 0\\4&if&x\geq0\end{array}\right[/tex]

Anna is given the equation 3 + 2x = 2x + 3 The replacement set is {2, 3, 4, 5} Anna says the solution is {3}, but the teacher marked her problem incorrect. Explain what the answer should be and why. Why do you think this is?

Answers

Answer:

The given equation has infinite number of solutions. This means that any real number can be considered a solution to the given equation.

Since the given replacement set {2,3,4,5} consists of real numbers, therefore, the whole set is considered as a solution to the given equation.

This is because, when solving the given equation for x, we will end up with 0 = 0, this means that whatever the value of x is, both sides of the equation will always be equal.

Explanation:

To solve for x, we need to isolate the x on one side of the equation.

This can be done as follows:

3 + 2x = 2x + 3 (subtract 3 from both sides)

2x = 2x (subtract 2x from both sides)

0 = 0

This means that whatever, the value of x is, both sides of the equation will be equal. This means that all real numbers are considered a solution for this equation.

Let's verify this using the given replacement set {2,3,4,5}:

For x = 2:

Left hand side: 3 + 2(2) = 3 + 4 = 7

Right hand side: 2(2) + 3 = 4 + 3 = 7

Both sides are equal.

For x = 3:

Left hand side: 3 + 2(3) = 3 + 6 = 9

Right hand side: 2(3) + 3 = 6 + 3 = 9

Both sides are equal.

For x = 4:

Left hand side: 3 + 2(4) = 3 + 8 = 11

Right hand side: 2(4) + 3 = 8 + 3 = 11

Both sides are equal.

For x = 5:

Left hand side: 3 + 2(5) = 3 + 10 = 13

Right hand side: 2(5) + 3 = 10 + 3 = 13

Both sides are equal.

Hope this helps :)


Find the x and y intercepts of the function

Answers

So when you look at the graphs, the functions always get close to x=0 but never actually touch it

So there are no x-intercepts

And for y, you just see where the point is passing the y-axis. In this case, the y-intercept is (0,-4)

So your answer is  C :)

The intercepts for the given graph are:

x-intercept: none

y-intercept: (0, -4)

The correct option is the third one.

How to find the x and y intercepts?

For a function y = f(x), we define the x-intercept as the value of x at which the function is zero, so:

f(x) = 0

And the y-intercept as the value that y takes when x = 0.

When we have a graph, we can just look at the points where the graph intercepts the correspondent axes.

In this particular case, we can see an asymptotic tendency to zero, so the function never intercepts the horizontal axis, there are no x-intercepts.

And we can see an y-intercept at y = -4

So the correct option is:

x-intercept: none

y-intercept: (0, -4)

Learn more about intercepts at:

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Other Questions
Describe the use of omens in Books 13-18 of The Odyssey. What is the significance of the omens in this part of the story? Need help with number 4 quick please. Two masses exerting a force on each other is an example of________ A.) Kepler's law B.)Heliocentric theory C.)Universal law of gravitation D.)Geocentric theory Which expression is equivalent to 2/7k(k-7)? Assume k=0.A. 2/7-k,B. 2/7-2/k,C. 2k/7-7,D. 2k/7k-2k Use the identity a^3+b^3=(a+b)^33ab(a+b) to determine the sum of the cubes of two numbers if the sum of the two numbers is 4 and the product of the two numbers is 1. This section of a page from a telephone directory shows a column of 11 names in 1 inch. Each page has four 10-inch columns. Write an algebraic expression for the approximate number of names in p pages of the directory. Is Christadelphianism Christian? A population of frogs inhabits a lake. If the resource availability of the lake changes, the population may to use the resources that are available. As a result, the population would exhibit . Escoge la palabra que completa la oracin siguiente.Javier ___________ en clase a veces. Necesita _________ ms temprano.Te duermes, te acostasSe duerme, acostarseDormirme, acuestasteLes duerme, acostarseloEscoge la traduccin correcta con los pronombres.Im going to cook the hamburgers for them.Les las voy a cocinar.CocinoslosVoy a cocinarmelosVoy a cocinrselasEscoge la repuesta correcta con el pronombre.Tienes mi libro?S, me tengoS, lo tengoS, me lo tengoS, las tengoEscoge la repuesta correcta con el pronombre.Qu vas a comprar para la fiesta de Anna?Voy a darle un anillo.Voy a darme un anilloLa voy a dar un anillo.Voy a darte un anillo.Escoge la repuesta correcta con el pronombre.Cundo recibiste tu carro nuevo?Mis padres lo dieron me ayer.Mis padres me lo dieron ayer.Mis padres se lo dieronme ayer.Mis padres se me dieron ayer.Escoge la palabra que completa la oracin siguiente.Son los zapatos de t y Maria. Los zapatos son ____SuyoSuyosNuestroNuestros Hugo polled 100 randomly selected people to see if they had exercised that week and found that 85% said they had. Lily asked 400 randomly selected people the same question and found that 85% of them also responded that they had exercised that week. If Hugo and Lily use a 99% confidence level (z*score of 2.58), which statement is true? E = z* - Hugos margin of error will be exactly 2 times as large as Lilys margin of error. - Lilys margin of error will be exactly 2 times as large as Hugos margin of error. - Hugos margin of error will be exactly 4 times as large as Lilys margin of error. - Lilys margin of error will be exactly 4 times as large as Hugos margin of error. If your heart is not strong enough or efficient enough, it is difficult tobreathewhich of these likely contains the least authoritative data on health and wellness?a university studyb fitness training blogc government websited post by a certified physicianperspirelift weights stretch how many pounds of premium coffee beans thats $9.50 pounds should be mixed with 2 pounds of supreme coffee thats $11.75 pounds to make the blend coffee that's 10.00 pounds mr. Johnson was paid $190 for a job thatrequired 40 hours of work at this rate how much should he be paid for job requiring 60 hours of work 1st TO ANSWER BRAINLIEST MUST BE CORRECTWhich equation describes the nth term of the arithmetic sequence 7, 10, 13, 16, . . .? SHOW YOUR WORK a. an= 3n + 4 b. an= 7 + 3n c. an= 4n + 3 d. an= 3n 4 What is 2350000000 written in scientific notation as my teacher was explaining this, i didn't have enough time to ask her how we got to $20.00. so how do i get to 20 if the markup is $7.50? Which statement about stable air is true?It is associated with severe storms.It is never associated with precipitation.It tends to resist rising.It tends to rise. Nour drove from the dead sea up to amman, and her altitude increased at a constant rate. When she began driving, her altitude was 400meters below sea level. When she arrived in amman 2 hours later, her altitude was 1000 meters above sea level. Let a(t), left parenthesis, t, right parenthesis denote nour's altitude relative to sea level a (measured in meters) as a function of time t (measured in hours). what is the product of two more than a number and seven is thirteen how do the details in this passage support the authers purpose?