Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8

Answers

Answer 1

Answer:

(x-2)^2= - 8(y-6)

Step-by-step explanation:


Related Questions

Categorize each triangle by both sides and angles. Choose two for each question below.

Answers

Answer:

Obtuse

Step-by-step explanation:

Answer: scalene, and obtuse

Step-by-step explanation: All of the sides are different lengths so that makes it a scalene triangle. On the picture it also shows that one of the angles is 107 degrees. Since 107 is larger than 90, it is an obtuse triangle.

Suppose a cylinder has a diameter of 18 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?

Answers

Answer:

Volume of a cylinder, V = πr^2h

but r= d/2

therefore, Vol = π(d/2)^2h

from the parameters given,

Vol = π(18/2)^2h

=81πh

Solve the system of equations x+y= -13 and 4x + 6y = -72 by combining the
equations.

Answers

Answer:

Step-by-step explanation:

Fist you add -13 to 6y and than 4x that should be 69420

what is the cube root of 262144

Answers

Answer:

the cube root of 262144 is 512

Answer:

64

Step-by-step explanation:

The cube root of 262144 is 64

hi ! if you come across this can you please help me out?:) tysm

Answers

Answer: y=4x-2

Step-by-step explanation:

Since you are looking for y-intercept, the point has to be on the vertical line and the slope is 4 so it has to go up 4 to the right 1

Jeremey performs the same operations on four values of x. He records each resulting y-value in a table, as shown below. Which equation shows the operations Jermey performs on x to get to y

Answers

Answer:

Y=4x-3

Explanation: If we look 2 = 5 We can do 4(2)= 8 -3 = 5 So that the answer and 4(4)= 16-3 = 13 so these are the Y so this is the answer!

identify the slope and write the equation of the line .

Answers

Answer:

y=-2x+5; slope is -2

Step-by-step explanation:

slope is rise/run. we can see it rises 2 and goes left one which would give us rise/run=2/-1=-2. that is our slope.

using y=mx+b to write the equation, m is slope and b is the y-int.. we can see that the y-int. is (0,5). we can plug 5 into b.

plugging b and m in we can get the equation: y=-2x+5

SOMEBODY PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST


In parallelogram KLMN, KN = 10, MN = 7 and mK = 50°



Find the measures of the remaining angles of parallelogram KLMN. Justify each of the measures with a theorem.
Find the measures of the remaining side lengths of parallelogram KLMN. Justify each of the measures with a theorem.

Answers

Answer:

a- 130, 130, and 50

b- 7 and 10

Answer:

a- 130, 130, and 50

b- 7 and 10

Step-by-step explanation:

x = 4x + 3 "explain your thinking"

Answers

Answer:

x equals to -1

Step-by-step explanation:

x-4x :3

-3x : 3

so x: -1

How do I solve this inequality?

Answers

Answer:

x is the element of {-4,-3,-2,-1,0,1,2,3,4}

Compute: (√2 )^5−( √2 )^4+( √2 )^3−(√2 )^2+√2 −(√2 )^0

Answers

Answer:

2.89949493661

Step-by-step explanation:

Hope i helped! Have a wondeful weekend! :)

Answer: 2.899494936610

Step-by-step explanation:

x - 15 = -25
plz help

Answers

Answer:

x=-10

Step-by-step explanation:

A squirrel burrowed 6 holes in 2 minutes. How many holes could the squirrel burrow in 7 minutes

Answers

Answer:

He burrows 6 holes in 2 minutes which means that he can burrow 3 holes in 1 minute.

To determine how many he can burrow in 7 minutes, you would multiply the

unit rate of 3 holes in 1 minute by 7.

He would burrow 21 holes in 7 minutes.

Step-by-step explanation:

brainliest pls?

Answer:

He burrows 6 holes in 2 minutes which means that he can burrow 3 holes in 1 minute.

therfore your answer would be 21 holes in 7 minutes

Step-by-step explanation:

Im desperate, please help asapp!!

Answers

Answer:

A: Quadrant IV

B. Quadrant III

Step-by-step explanation:

Quadrant IV is the bottom right

Quadrant III is the bottom left

PLZ HELP DUE IN 10 MINS!HELP PLZ THANKSSSS


11. $35 volleyball: 20% discount


Answers

Answer:

the answer is 7$

Step-by-step explanation:

I used a percentage app

6
Julie bought a 5-lb bag of potatoes for
$2.70. The bag contained 10 potatoes.
If each potato weighs and costs about
the same, which is the most reasonable
estimate of the unit rate per potato?
A $0.27
C $2.70
B $0.50
D $3.70

Answers

Answer: a

Step-by-step explanation:

multiply each answer by 10

simplify the expression a² • 3a and explain your steps pls

Answers

Answer:

3a^3

Step-by-step explanation:

Ok I got you bud now the the first thing to notice that they're all the same variable. so the way I learned to look at is like this  

1a^2 x 3a^1

so the reason I put it like this is so I remember that in front of every variable is a coefficient. so you would first multiply the coefficient

3x1=3

3

then multiply the a's you have one a that is being squared and one a to the first power so since your multiplying them you just add the exponents

a^1 + a^2 = a^3

so when you put it all together it says 3a^3

hope this helps

Find the surface area of the 3D solid. Round to one decimal place.

Answers

Answer:

172.5

Step-by-step explanation:

The formula for the surface area of a right circular cone (the following shape) is πr( r + √h^2 + r^2). Since the radius (r) is already given (3) and the height (h) is already given (15), you just replace each r with 3 and h with 15. After solving this out, you should get 172.45, which rounds to 172.5 to the first decimal place

What is the slope of the line 3x – 9y = 4?

Answers

Answer:

Slope = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Write the equation in y =mx + c form

3x - 9y = 4

    -9y = -3x + 4

       [tex]y = \frac{-3x}{-9}+ \frac{4}{-9}\\\\y =\frac{x}{3} - \frac{4}{9}\\m = \frac{1}{3}[/tex]

Graph the line with a slope of 3/5 and goes through the point (1,2).

Answers

Answer:

The answer is y= 3/5x+7/5

an equivalent ratio for 5:10

Answers

Answer:

Here u go! :)

Step-by-step explanation:

10:20, 15:25, 20:30 etc..

Hope this helps you! xx

Answer:

10:20, 15:30, 20:40, 25:50

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the side length of the base is
14.4 m and the height of the pyramid is 15.3 m. Round your answer to the nearest
tenth of a cubic meter.

Answers

Answer:

Volume of pyramid with square base is 1057.54 m³

Step-by-step explanation:

We are given:

Length of base of pyramid = 14.4 m

Height of pyramid = 15.3 m

We need to find:

Volume of pyramid with square base

The formula used is: [tex]Volume=\frac{1}{3}\times a^2 \times h[/tex]

Where a = base of pyramid and h is height

Putting values and finding volume

[tex]Volume=\frac{1}{3}\times a^2 \times h\\Volume=\frac{1}{3}\times (14.4)^2 \times (15.3)\\Volume=\frac{1}{3}\times 207.36 \times 15.3\\Volume=1057.54 \ m^3[/tex]

So, Volume of pyramid with square base is 1057.54 m³

Answer:

1057.5

Step-by-step explanation:

(11x + 8) + (8x + 12) =27

Answers

Answer:

11x + 8 +8x +12 =27  (drop the parenthesis, there's no actual need for them)

19x +20 =27 (i combined like terms and then subtracted 20 from both sides)

19x = 7  (divide both sides by 19 to get x alone)

x= 7/19 or 0.36842105 (the answer)

Step-by-step explanation:

Oh wow that person that answered already

can anyone help me ?

Answers

Answer: m∠T = 48°

ΔMAT has MA = MT

=> ΔMAT is a isosceles triangle at M

=> ∠A = ∠T = (180° - ∠M)/2

=> x + 20  = (180 - 3x)/2

⇔ 2x + 40 = 180 - 3x

⇔ 5x = 140

⇔ x = 140/5

⇔ x = 28

=> ∠A = ∠T = 28 + 20 = 48°

Step-by-step explanation:

please help me :)
2)
A newspaper started an online version of its paper 14 years ago. In a recent presentation to stockholders, the lead marketing executive states that the revenues for online ads have more than doubled that of the revenues for printed ads since starting the online version of the paper.

part A. Use the graph below to justify the lead executive’s statement.

part B. Determine the approximate year that the two ad revenues were equal.

Answers

Answer:

Part B= (7.5 years, 2.25ish dollars) or about (7,2)

Step-by-step explanation:

im sorry i couldn't answer part b

write y= -x +3 in standard form. then graph the function

Answers

Answer:

x+y=3;  graph is in word doc

Step-by-step explanation:

x + y = 3 is the standard form

Which point is located at (2,-5)?

Answers

Answer:

B.

Hope this helps!

Math, Stumped me once more

Answers

Answer:

[tex]B.Alternate\ Exterior\ Angles[/tex]

Step-by-step explanation:

[tex]As\ the\ exterior\ angles\ lie\ on\ the\ opposite\ sides\ of\ the\ transversal,\\that\ cuts\ two\ parallel\ lines,\ the\ set\ of\ 'Alternate\ Exterior\ Angles'\ formed\\are\ equal.[/tex]

Find the gradients of lines A and B​. NEED ASAP

Answers

Step-by-step explanation:

The line A, the slope is +2

And line B the slope is n-1

Answer:

For A;

x1 = -2, y1 = -3, x2 = 3, y2 = 7

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

= (7 - (-3))/(3 - (-2))

= 10/5 = 2.

For B;

x1 = 7, y1 = -2, x2 = -2, y2 = 7

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

= (7 - (-2))/(-2 - 7)

= 9/-9 = -1.

−x + (−3) = x + 3
plz hurry

Answers

Answer:

X= -3

Step-by-step explanation:

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