A parabola has the focus at (4,6) and the directrix of Y equals -6

Answers

Answer 1

Answer:

y = (x-4)²

Step-by-step explanation:

vertex (h , k)

h = 4   .... axis of symmetry

k = (6 + -6) / 2 = 0  .... midpoint of focus and directrix

equation of parabola: y = (x-4)²       y = (x-h)² + k


Related Questions

Neeeddddd HELP LOOKONG FOR ANSWERS!!

Answers

Answer:

a.) 13 students

b.) 53 members

Step-by-step explanation:

a.) In the given equation of y=4x+13, "x" represents how many years have gone by since the club had started. The number "13" in this equation represents the y-intercept, or the value of "y" when x = 0. Therefore, when "x" is 0 years, there were 13 students in the clubs, meaning that the original group that started the club contained 13 students.

b.) Since the question asks how many members that the club will have after their tenth year and you already know that "x" in the equation y=4x+13 represents the number of years since the club started, all you have to do is plug 10 in for "x" in the equation; so, the equation will now look like this: y=4(10)+13. Keeping PEMDAS in mind, you first multiply 4 and 10 to get 40, and then you add 13 to get an answer of 53 members after year 10.

Please help me I have been stuck for a while now

Answers

The square root of 9 is 3, so the square root of 11 would be a little greater than 3

The answer would be C. 3.3

Which answer is correct?

Answers

Answer:

B

Step-by-step explanation:

Philip rode less than her so immediately you subtract which cancels answers a and d.

we aren't dividing the answers, he rode 3 TIMES faster, meaning multiply. which is why it's 5

slope (7,-4) and (7,-1)

Answers

Answer:

undefined

Step-by-step explanation:

line is straight up and down

Answer:

Undefined. It ends up being 3/0 which can't happen so it remains undefined.

Step-by-step explanation:

Without using a calculator, order the following numbers from least to greatest . 5 sqrt(14) 4

Answers

Answer:

.5, sqrt 14, 4

Step-by-step explanation:

.5, 3.7416, 4


(b) Principal = * 8000, Rate = 8% p.a., Time=2*1/2years​

Answers

Answer:

Step-by-step explanation:

time=1 years

interest=principal*time*rate/100

=8000*1*8/100

=64000/100

=640

therefore interest=640

Answer:

Compound Interest = 9680

Step-by-step explanation:

The formula of Compound Interest: [tex]A = P(1 + \frac{r}{n} )^n^t[/tex]

Where;

A = Compound Interest

P = Principal amount

r = Rate of interest

n = amount of deposite annually

t = total time

Therefore:

[tex]A = 8000(1 + \frac{0.08}{1})^1^*^2^.^5[/tex]

[tex]A = 8000(1 + 0.08)^2^.^5[/tex]

[tex]A = 8000(1.08)^2^.^5[/tex]

A = 8000(1.21)

A = 9680

Therefore, the compound interest = 9680

Hope this helps!

Broderick needs to solve the formula below for r. Which correctly describes the first step he should take?

Answers

The first step to solve for r is (J) He should divide both sides of the equation by π.

How to solve the formula for r?

The equation is given as:

A= πr^2

Divide both sides of the equation by π.

So, we have:

r^2 = A/π

Hence, the first step to solve for r is (J) He should divide both sides of the equation by π.

Read more about subject of formulas at:

https://brainly.com/question/11154728

Hellppppppppppppp I neeeeed itttt

Answers

Answer:

20

Step-by-step explanation:

Find the volume use pi as part of the equation round to nearest hundred

Answers

Answer:

V = 340.339

Step-by-step explanation:

V = [tex]\frac{\pi r^{2} h }{3}[/tex]

V = [tex]\pi[/tex][tex](5)^{2}[/tex] [tex]\frac{13}{3}[/tex] = 25[tex]\pi[/tex] [tex]\frac{13}{3}[/tex]  = about 340.3392 = 340.339

Answer:

340.17 ft.

Step-by-step explanation:

Using the formula, πr²h ÷ 3 (3.14 × radius × radius × height ÷ 3), we can plug-in the unknown values.

'r' means radius; 'h' means height; 'π' means pi.

The radius is 5; the height is 13.

πr²h (3.14 × radius × radius × height ÷ 3) - π5² × 13 = 340.166666667 (3.14 × 5 × 5 × 13 ÷ 3 = 340.166666667)

340.166666667 ≈ 340.17

Therefore, the area of this circular cone is 340.17 ft.

Complete the table using the equation

Answers

Answer:

x      -1       0       1       2       3

y      2       4       6      8       10

Step-by-step explanation:

y = 2x + 4

x = -1: y = 2(-1) + 4 = 2

x = 0: y = 2(0) + 4 = 4

x = 1: y = 2(1) + 4 = 6

x = 2: y = 2(2) + 4 = 8

x = 3: y = 2(3) + 4 = 10

x      -1       0       1       2       3

y      2       4       6      8       10

The length of a line segment is 13 units. One endpoint of the line segment is -3, 7. What four points could be the other endpoints of the line segment.

Answers

Answer:

the length of a line s3gment is 13 units then its 169

Eric starts with 10 milligrams of a radioactive substance. The amount of the substance decreases by 12 each week for a number of weeks, w. He writes the expression 10(12)w to find the amount of radioactive substance remaining after w weeks. Andrea starts with 1 milligram of a radioactive substance. The amount of the substance decreases by 20% each week for a number of weeks, w. She writes the expression (1−0.2)w to find the amount of radioactive substance remaining after w weeks. Use the drop-down menus to explain what each part of Eric’s and Andrea’s expressions mean.

Answers

Answer:

In Pic

Brainliest?

Step-by-step explanation:

Answer: Mark as brainliest "If" help

Step-by-step explanation: Hope It helps,,

.

Which of the following shapes could have a triangular cross-section? Prism ,Cone ,Cylinder ,Pyramid ?

A) Prisms only
B) Prisms and Cones
C) Prisms, Cones, and Pyramids
D) Prisms, Cylinders, and Pyramids
please help me

Answers

The correct answer would be C

Hope this helped

7.(08.03)
Consider the following pair of equations:
y = x + 4
y = - 2x - 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. (20 points!)

Answers

Answer:

(-2, 2).

Step-by-step explanation:

y = x + 4

y = - 2x - 2

Substitute y = x + 4 in the second equation:

x + 4 = -2x - 2

x + 2x = -2 - 4

3x = -6

x = -2.

Now substitute x = -2 in the first equation:

y = -2 + 4 = 2.

Check the results by substituting for x and y in equation 2:

2 = -2*-2 - 2 = 4 - 2 = 2.  - this checks out.

Answer:

(-2, 2).

Step-by-step explanation:

d

I need help with this!

Answers

Answer:

A)  21d + 48 = 426

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

if the x is the like repeating one, then its the 21 per day, see it has per in it

for the 48, its just additional so we put it equal to 426 since thats the total amount giving us the equation

21d + 48 = 426

21d = 378

d= 18

it took 18 days

An all-star baseball team has a roster of seven pitchers and three catchers. How many pairs of pitchers and catchers can the manager select from this roster?

Answers

Answer:

3 pairs

Step-by-step explanation:

there is only 3 catchers so there can only be three pairs

Part A Complete the stem and leaf plot for this data on the average cruising speeds of Red Eagle's planes.

0.78, 0.86, 0.83, 0.83, 0.79, 0.83, 0.85, 0.85, 0.85, 0.81, 0.84, 0.84, 0.82, 0.82, 0.81, 0.83, 0.84, 0.83, 0.85, 0.85, 0.81, 0.80, 0.82, 0.82, 0.80, 0.82, 0.87, 0.84, 0.84, 0.86

ASAP PLEASE!!!! DUE IN 5 MINUTES!!!!​​
50 POINTS!!!!

Answers

Answer:

hope this helps you. look it once

The graph shows how many miles Barrett traveled over a 5 hour time frame. The point (1,50) is on the graph what is the unit rate for the first hour?​

Answers

Answer:

Step-by-step explanation:

The answer is B 50

If using the method of completing the square to solve the quadratic equation x2 – 3x + 20 = 0, which number would have to be added to "complete the square"?​

Answers

Answer:

         ⁹/₄

Step-by-step explanation:

The square is:  a²-2ab+b²

We have

[tex]x^2-3x[/tex]

it's:   [tex]x^2-2\cdot x\cdot\frac32[/tex]

so we need:   [tex]\left(\frac32\right)^2=\frac94[/tex]

[tex]x^2-2\cdot x\cdot\frac32+\frac94-\frac94+20=0\\\\(x-\frac32)^2-2.25+20=0\\\\(x-\frac32)^2=-17.75[/tex]

witch, of course, means no solution

   

621,584 round to the nearest ten

Answers

Answer:

621,580

and i have to add at least 20 characters so how is everyone’s day?

Answer:

621,580

Step-by-step explanation:

nearest 10 means finding which 10 they are nearest to. and 84 is rounded to 80 because the number is not 85 or higher if that makes sense.

In 3 548 729, what digit is in the ten thousands place?

Answers

Answer:

4

Step-by-step explanation:

Answer: 7

Step-by-step explanation: because it is 5 spaces over

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
B. 21 mi

Answers

The answer would be A. 15mi

A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.

What is Pythagoras's Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]  

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.

Let x be the length of the boat from the dock.

From the Pythagoras' theorem

[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]

Hence, the length of the boat from the dock will be 15 miles.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

(01.02 MC)Which of the following correctly uses absolute value to show the distance between -50 and 12?
OT-50 - 12| = |-62] = -62 units
OT-50 + 12 = 1-38= 38 units
OT-50 + 12 = 1-38] = -38 units
OT-50 - 12| = |-62] = 62 units

Plz help

Answers

Answer: Choice D

|-50-12| = |-62| = 62 units

================================================================

Explanation:

Draw out a number line. Mark two points on it at A = -50 and B = 12

The expression |A-B| represents the distance between the two points. So that would be....

|A-B| = |-50-12| = |-62| = 62

Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.

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

Slightly alternative method:

If you wanted, you could plot point C on the number like such that C is at 0.

The distance from A = -50 to C = 0 is exactly 50 units

From C = 0 to B = 12 is an additional 12 units

Therefore, the total distance is AC+CB = 50+12 = 62 units

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

Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.

HELP WORTH 50 points

Answers

Answer: π = 218956.44

Step-by-step explanation:

π = (132π^2)4

π = (54739.11)4

π = 218956.44

Answer:

218956.4

Step-by-step explanation:

calculate decrease in 71.2kg of 25%​

Answers

Answer:

53.4.......

follow me........

A bag of M&M's have 5 red, 9 green and 2 brown left in it. You draw out one M&M and put it back then draw another. What is the probability of drawing a red first and a red second? Write your answer as a decimal rounded to the nearest thousandth

Answers

Answer:

0.098

Step-by-step explanation:

Miguel does 150 lunges and 120 pushups each week. Which statement is true about the ratio of lunges to pushups?
For every 5 lunges Miguel does, he does 4 pushups.
For every 4 lunges Miguel does, he does 5 pushups.
For every 15 lunges Miguel does, he does 4 pushups.
For every 12 lunges Miguel does, he does 5 pushups.

Answers

Answer:

For every 5 lunges, 4 pushups

Step-by-step explanation:

5 lunges 4 pushups ig is zuztc

Need help, no links. Thanks

Answers

Answer:

Solution given:

now

base[b]=8

hypotenuse [h]=17

perpendicular [p]=15

by using Pythagoras law

p²+b²=h²

15²+8²=17²

289=289

It satisfied so

AB is a tangent to the circle.

A shipping container is in the shape of a right rectangular prism with a length of 7.5
feet, a width of 1.5 feet, and a height of 6.5 feet. The container is completely filled
with contents that weigh, on average, 0.34 pound per cubic foot. What is the weight
of the contents in the container, to the nearest pound?

Answers

Answer:

3

Step-by-step explanation:

because two plus two

i need help with this plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Parallel lines have to have the same slope, and the only one that has a slope of 1/4 is y = 1/4x - 1/2

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