Mathematics College

Define the axis of symmetry, vertex, focus and directrix for

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

NO LINKS!!
​

Answers

Answer 1

Answer:

  see attached

Step-by-step explanation:

The equation is in the form ...

  4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance

Comparing this to your equation, we see ...

  p = 4, (h, k) = (3, 4)

p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...

  vertex: (3, 4)

  axis of symmetry: x = 3

  focus: (3, 8) . . . . . 4 units up from vertex

  directrix: y = 0 . . . horizontal line 4 units down from vertex

Define The Axis Of Symmetry, Vertex, Focus And Directrix For16(y-4)= (x-3)^2NO LINKS!!

Related Questions

Solve the following system: 5x + 4y = 6 -2x – 3y = -1​

Answers

Answer:

[tex]\left \{ {{y=-1} \atop {x=2}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{5x+4y=6} \atop {-2x-3y=-1}} \right. <=> \left \{ {{10x+8y=12} \atop {-10x-15y=-5}} \right.<=> \left \{ {{-7y=7} \atop {-10x-15y=-5}} \right. <=> \left \{ {{y=-1} \atop {-10x-15y=-5}} \right. <=> \left \{ {{y=-1} \atop {-10x+15=-5}} \right. <=>\left \{ {{y=-1} \atop {-10x=-20}} \right. => \left \{ {{y=-1} \atop {x=2}} \right.[/tex]

Tìm nghiệm tổng quát của các phương trình
y"+2y'-3y=0

Answers

Answer:

y € R i guess

Step-by-step explanation:

I hope it correct

2 + 2 = 3
prove me wrong

Answers

Answer:

2+2=4................

Answer:

you are wrong because 2+2=4

Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks

Mrs. McMillan, the PE, teacher, is pairing off students to race against each other. Heather can
run 4 meters per second, and Erin can run 5 meters per second, Mrs. McMillan decides to give Heather a head start of 23 meters since she runs more slowly. Once the students start
running, Erin will quickly catch up to Heather. How far will Erin have to run? How long will
that take?

Please help.

Answers

Answer:

23 seconds later Erin will catch up

Erin will run 115 meters

Step-by-step explanation:

23+4x=5x

x=23

23 seconds later Erin will catch up

Erin will run 115 meters

(-7,-4) (-11,-2) slope

Answers

Answer:

1/3

Step-by-step explanation:

-2-4 = -6

-7-11 = -18

Write -37.75 as a mixed number.​

Answers

Answer:

[tex]-37\frac{3}{4}[/tex]

Step-by-step explanation:

0.75 is equivalent to three quarters, or (3/4).

3/4 would be the fraction. -37 would be the whole number.

[tex]-37.75 = \boxed{-37\frac{3}{4}}[/tex]

Hope this helps.

Answer:

- 37 3/4

Step-by-step explanation:

MAX POINTS!!! Where did I go wrong? Please explain where I went wrong and redo it.

Answers

Answer:

Ms. I am sure that you are already correct

(4 − 3)(−3 + 6) − (2 − )
simplify
show all work

Answers

Answer:

(4 − 3)(−3 + 6) − (2 )

1(3)-2

3-2

1

Hope This Helps!!!

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

Step-by-step explanation:

some help, I need some answers

Answers

Answer:

Well your Hypotenuse is 10 and your other angle is 8 so it is most likely 6 because you see a change in 2 each time and it is about 2 units smaller because all right triangles follow a pattern

Step-by-step explanation:

if it was too go even higher it would go to 12,14,16 etcetera

I need help! Whoever can solve this I'll give you the brainliest!​

Answers

Answer:

it should be 21 if I did this right.

Step-by-step explanation:

you multiply the width times the length (6 × 7) =42 then 882 divided by 42 to get 21

Sandra signed up for the gym during the spring special.
Her credit card was charged $220.87. Is this the correct amount? Explain.
A sign that says workout jazz spring special. Sign up now and get 12 months for just 16 dollars and 99 cents per month asterisk. The asterisk is given as paid in advance.



No; the gym should have only charged Sandra $16.99.



No; the gym charged Sandra $16.99 less than it should have.



No; the gym charged Sandra $16.99 more than it should have.



Yes; the gym charged Sandra the correct amount.

Answers

Answer:

yes the gym charged Sandra the correct price

solve for x. 2/x-3=x/12-4x

Answers

Answer:

x=  47 18+2  201  i  ≈0.382978723+0.603295612i x=  47 −2  201  i+18  ≈0.382978723−0.603295612i  Hopefully this makes just the same amount of sense as this question

1. Bianca can walk 5/6 of a mile in 1/3 of an hour. What is her walking speed, in miles per hour?
2. How long, in minutes, does it take Bianca to walk 1 mile?

Answers

Answer:

1. 2.5 miles/hour

2. 24 minutes

Step-by-step explanation:

1. 5/6 of mile in 1/3 of an hour. In 1 hour, Bianca can walk 5/6 x 3 = 15/6 miles or 2.5 miles/hour

2. 5/6 of mile in 1/3 of an hour, hour in 1 mile = (1 x 1/3)/(5/6) = 2/5 = 0.4 hour = 24 minutes

Dog slept 3 hours . If the dog snored 1/3 of an hour . How many times did he snore

Answers

Answer:

it depends how much the god snores within a certain time period

Answer them all please ​

Answers

Answer:

see the attachment

i hope it helps u ✌️✌️✌️☠️

a) The highest common factor and the least common multiple are 12 and 48, respectively.

b) The highest common factor and the least common multiple are 12 and 72, respectively.

c) The highest common factor and the least common multiple are 8 and 160, respectively.

d) The highest common factor and the least common multiple are 12 and 48, respectively.

e) The highest common factor and the least common multiple are 14 and 840, respectively.

Procedure - Determination of the Highest Common Factor and the Least Common Multiple of two integers

In this question we must determine the highest common factor and the least common multiple of two integers.

The highest common factor consists in the maximum product of common prime numbers, of the two numbers that divides it, and the least common multiple consists in the product of prime numbers, common and not, of the two numbers, that creates a product that it is greater or equal to the greater integer.

Now, we proceed to determine the numbers for each case:

a) 12 and 48

First, we factorize each integer:

[tex]12 = 2^{2}\times 3[/tex], [tex]48 = 2^{4}\times 3[/tex]

Then the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{4}\times 3 = 48[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]

The highest common factor and the least common multiple are 12 and 48, respectively. [tex]\blacksquare[/tex]

b) 24 and 36

First, we factorize each integer:

[tex]24 = 2^{3}\times 3[/tex], [tex]36 = 2^{2}\times 3^{2}[/tex]

Then, the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{3}\times 3^{2} = 72[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]

The highest common factor and the least common multiple are 12 and 72, respectively. [tex]\blacksquare[/tex]

c) 32 and 40

First, we factorize each integer:

[tex]32 = 2^{5}[/tex], [tex]40 = 2^{3}\times 5[/tex]

Then, the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{5}\times 5 = 160[/tex], [tex]HCF = 2^{3} = 8[/tex]

The highest common factor and the least common multiple are 8 and 160, respectively. [tex]\blacksquare[/tex]

d) 24, 48 and 60

First, we factorize each integer:

[tex]24 = 2^{3}\times 3[/tex], [tex]48 = 2^{4}\times 3[/tex], [tex]60 = 2^{2}\times 3 \times 5[/tex]

Then, the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{4}\times 3 \times 5 = 48[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]

The highest common factor and the least common multiple are 12 and 48, respectively. [tex]\blacksquare[/tex]

e) 42, 56 and 70

First, we factorize each integer:

[tex]42 = 2\times 3 \times 7[/tex], [tex]56 = 2^{3}\times 7[/tex], [tex]70 = 2\times 5\times 7[/tex]

Then, the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{3} \times 3 \times 5 \times 7 = 840[/tex], [tex]HCF = 2\times 7 = 14[/tex]

The highest common factor and the least common multiple are 14 and 840, respectively. [tex]\blacksquare[/tex]

To learn more on prime numbers, we kindly invite to check this verified question: https://brainly.com/question/4184435

PLS HELP PLEASSSSS IM SERIOUSLY CRYING RN

Answers

i really don’t know 555

[tex]x = 23[/tex]

Step-by-step explanation:

First, we need to write the equations in their standard form, i.e., all the variables and their coefficients are to be placed on the left hand side and the plain numbers on the right hand side. The first equation is already in its standard form:

[tex]2x + 5y = 35\;\;\;\;\;(1)[/tex]

but we need to rewrite the 2nd one. So the standard form of the 2nd equation can be written as

[tex]x + 15y = -10\;\;\;\;\;(2)[/tex]

Now that the equations are in their standard forms, the next step that we need to do is to eliminate one of the variables, namely the y. To do that, we need to multiply either one of the equations so that when we add them together, the y-variable gets eliminated. Note if we multiply Eqn(1) by -3, we'll get -15y on one equation and a +15y on the other equation so that when they are added together, they cancel out. So if we do that, we get

[tex]-6x - 15y = -105\;\;\;\;\;(3)[/tex]

Adding Eqn(3) to Eqn(2), we get

[tex]-5x = -115[/tex]

or

[tex]x = \dfrac{-115}{-5} = 23[/tex]

Which of the following is a correct interpretation of the expression 5−8

Answers

Answer:

start at 5 on the number line and move 8 to the left.

Step-by-step explanation:

The answer is: A - Start at 5 on the number line and move 8 to the left.

Explanation:

5 - 8 = -3

Therefore the final answer should be placed at negative three on the number line.

When you move to the left eight times away from the number five, the answer would be negative three.

6. The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that currently has 60 of them. Write an exponential function and find how many California Tiger Salamanders will be left after 4 years.

7. Factor and solve the following equation 2x2 + x - 21 = 0.

8. Alvin throws the football to a receiver who jumps up to catch the ball. The height of the ball over time can be represented by the quadratic equation -4.9t2 + 7.5t + 1.8 = 2.1 . This equation is based on the acceleration of gravity -4.9 m/s2, the velocity of his pass is 7.5 m/s and releases the football at a height of 1.8 meters, and the height where the receiver catches the ball of 2.1 meters. Put the equation in standard form and then solve by using the quadratic equation.

9. Examine the graph of f(x) and the table that contains values of g(x). Which function has a greater rate of change over the interval [0,2]? Explain your answer.

Answers

[tex]\rule{2000pt}{1000000pt}[/tex]

The verticles of a triangle are the points R(3,c),Q(9,2) and R(3c,11) where c is constant. Given that angle PQR is 90​

Answers

Answer:

Step-by-step explanation:

Find c if ∠PQR = 90°?

I will ASSUME you mean point P is at (3. c)

slope of PQ is (2 - c) / (9 - 3) = (2 - c) / 6

slope of QR is (11 - 2) / (3c - 9) = 9 / (3c - 9)

perpendicular lines have negative reciprocal slopes.

(2 - c) / 6 = -1(3c - 9)/9

9(2 - c) = -6(3c - 9)

18 - 9c = -18c + 54

       9c = 36

         c = 4

A firm has the following fixed proportion production function q = min(k, 2l). a. Find the firms long-run total, average, and marginal cost functions. b. Suppose that k is fixed at 20 in the short run. Calculate the firms short-run total, average, and marginal cost functions. c. Suppose v = 1 and w = 3. Calculate this firms long-run and short-run average and marginal cost curves. Q4. A firm’s production function is given by q = 2z1 + 3z2. Given the input prices, w1 for z1 and w2 for z2. a. Find the input demands z1 and z2 minimizing the cost of producing the level of output q. b. Find the cost function for producing the level q.​

Answers

Answer:

I think its right

Step-by-step explanation:

a) In the long run, we have, 5k=10 and k=2l Thus, C=2l+3l= 5l=0.5q Thus, AC=5l/10l =0.5 MC=0.5 b) In the short run, k=10 Q=min(50,10l) If l<5, q=10l. C=10+3l= 10+0.3q Thus, AC=10/q + 0.3 If l>5, q=50. C= 10+3l AC= (10+3l)/50 If q>50, then MC...

What is the standard deviation of 82,93,89 and 88?

Answers

Answer:

4.546, rounded

Step-by-step explanation:

pls mark brainliest!

Interest = $45.58, time = 1 year, rate = 2.25%. Find the principal. Round to the nearest hundredth place

Answers

Answer:

$2,025.78

Step-by-step explanation:

I = Prt ⇒ P = [tex]\frac{I}{rt}[/tex]

2.25% = 0.0225

P = 45.58 ÷ ( 0.0225 × 1 ) ≈ $2,025.78

A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 90 yards, what are its dimensions?

Answers

Answer:

L=30 W=15

Step-by-step explanation:

90 divided by 6 is 15. 15 is the Width. Multiply 15 by 2 and you get 30 which is the Length.

x/2 - 3 = 5 Solve the equation algebraically show work to support the answer

Answers

Answer:

x = 16

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

x/2 - 3 = 5

x/2 = 5+3

x/2 = 8

x = 8×2

x = 16

Which of the following is the graph of y = |x - 3|

Answers

Answer:

y = | x - 3 | is graphed on the attachment below ↓

Step-by-step explanation:

If you ever need an equation graphed, here's a useful site called Desmos that can do that really well and for free.

Set up an algebraic equation then solve. 1. When 3 is subtracted from the sum of a number and 10 the result is 2. The sum of 3 times a number and 12 is equal to 3. Find the number. 3. Three times the sum of a number and 6 is equal to 5 times the number. Find the number. 4. The width of a rectangle is 4 inches less than its length. If the perimeter measures 72 inches, find the dimensions of the rectangle. 5. The perimeter of a square is 48 inches. Find the length of each 2. Find the number. side.​

Answers

Answer:

( x+10)-3= 2

x+10= 5

x= -5

3x+12= 3

3x= -9

x= -3

3( x+6 )= 5x

3x+ 18 = 5x

2x= 18

x =9

w= l-4 y= x-4

perimeter= 2l+ 2w

2(2x) + 2( x-4)

4x+2x-8 = 72

6x= 72+8

6x= 80

x= 13.3 width = 9.3 length = 13.3

4x=48

x = 12

each 2= 24

help help help meeee

Answers

Answer:

122

Step-by-step explanation:

since line m and line n are parallel the sum of the angles is equal to 180 degrees

58 + x = 180 subtract 58 from both sides

x = 122

Acellus. please help me

Answers

by-step explaAnswer:

by-step epla

Step-nation:

a

Someone help, thanks

Answers

Answer:

i speak very little english sorry

Step-by-step explanation:

Other Questions
Write an if/else statement that assigns 1 to the variable fever if the variable temperature is greater than 98.6; otherwise it assigns 0 to fever. The parenting style that can be described as firm and flexible is called __________.A.permissiveB.authoritativeC.authoritarianD.brick wallPlease select the best answer from the choices providedABCD Read the sentence.When Lexi rode her bicycle through the fence, she broke it.Which sentence corrects the vague or ambiguous pronoun it?A.When Lexi rode her bicycle through the fence, she broke her bicycle.B.When Lexi rode it through the fence, she broke it.C.When Lexi rode her bicycle through the fence, it broke.D.When she rode her bicycle through the fence, there was breakage. Which equation best represents the line? PLEASE HELP WILL GIVE BRAINLIEST A complex shape with measurements 6 inches, 5 inches, 4 inches, 3 inches, 4 inches, 2 inches, 6 inches, 10 inches. What is the perimeter of the shape? find the measure of angle A Submit your two-page fictional narrative, written in third person point-of-view. Your story should be centered around a strong character with a clear setting, conflict, climax, and resolution. You have $6.72 to buy apples for an apple crisp recipe. Apples cost $0.96 each. Write and solve an inequality that represents the number of apples you can buy 7 pointThe heat energy from convection currents in magma also drives the rockcycle. Convection and movement of the plates causes rock to movebetween Earth's surface and interior. It provides the heat that changesrocks inside Earth to form metamorphic rocks. Igneous rocks form whenmagma cools and solidifies. The older rocks that are broken down andconverted to sedimentary rocks might come from igneous andmetamorphic rocks or even older sedimentary rocks. TRUE or FALSE: Therock cycle is directly related to convection currents.TrueFalse Please share one idea for actions or policies that you think would begin to address an issue of racial or social injustice The diameter of a circle is 18 kilometers. What is the circle's circumference? d=18 km Use 3.14 for n. kilometers When they laughed at my feet, they did not realize that I had put on two different shoes because Id had to dress in the dark that morning. They did not realize that I had dressed in the dark so I wouldnt wake my father, who works nights to put food on our table. They did not realize that I had dressed in the dark to not disturb my mother, who had been up all night with the newborn twins. They just laughed.Which part of the outline does this paragraph most likely come from if the reader has already been introduced to the main character?the expositionthe rising actionthe falling actionthe reflection Electrolysis Is One of the Modern Technologies in Architecture Prepare an Investigatory Report That Supports the Statement. The Texas Constitution was most directly influenced by ____________. Marsha used a graphing calculator to graph an expense and a revenue function for her familys printing business. The graph looked like the one below. What are the approximate breakeven points? * NEED MORE HELP ASAP!!! Find the area of the figures4 cmT4 cm12 cm8 cmThe area issquare centimeters the table below shows the ages of houses to the nearest year in a neighborhood. using the age of the houses as the random variable, x, which graph shows the probability distribution, px(x), of a randomly chosen house? The products from cellular respiration are the reactants in which other chemical process? A. anaerobic respirationB. photosynthesis C. Krebs cycleD. fermentation