PLEASE HELP ASAP!!!!
Write the equation for a parabola with a focus at (1,4) and a directrix at x=2

Answers

Answer 1


The basic form of the equation is:
4p(x-h) = (y-k)2

(h,k) is the vertex


4(-0.5)(x-1.5) = (y-(-4))2
-2(x-1.5) = (y+4)2
-2(x-1.5) = y2 + 8y + 16
x - 1.5 = (-1/2)(y2 + 8y + 16)
x = (-1/2)y2 - 4y - 8 + 1.5
x = (-1/2)y2 - 4y - 6.5

Related Questions

TRIG EXPERTS!! PLZZZ HELP! I'LL GIVE BRAINLY TO HELPFUL ANSWER AND REPORT SCAMS!

Answers

Answer:

[tex]28.07^{\circ}[/tex]

Step-by-step explanation:

We can use basic trig. for a right triangle to solve this problem. In any right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse (longest side) of the triangle.

The right triangle we're looking at involves the two dotted lines and an edge of the prism.

The bottom dotted line is a diagonal of the rectangular base of the prism. We can use the Pythagorean Theorem to find its length.

The Pythagorean Theorem states that for any right triangle, [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle and [tex]c[/tex] is the hypotenuse.

In this case, the two legs are 9 and 12 and we are solving for [tex]c[/tex]:

[tex]9^2+12^2=c^2,\\81+144=c^2,\\225=c^2,\\c=15[/tex]

This is theta's adjacent side. Its opposite side is an edge of the prism labelled as 8 inches. Therefore, we have the following equation:

[tex]\tan \theta = \frac{8}{15}[/tex]

Take the inverse tangent of both sides:

[tex]\arctan(\tan \theta)=\arctan(\frac{8}{15})[/tex]

Simplify using [tex]\arctan(\tan\theta)=\theta, \theta \in (-90^{\circ}, 90^{\circ})[/tex]:

[tex]\theta=\arctan(\frac{8}{15}),\\\theta=28.07248694\approx \boxed{28.07^{\circ}}[/tex]

Tristan wants to build a square garden in his backyard that will cover an area of 75 ft.² a person has 32 feet of material for the parent perimeter of the garden does he have enough explaine

Answers

Answer:

your try this is not the named above the new one in my case I can you tell the truth be the first and foremost is not in any form is

Step-by-step explanation:

ydu is not working in the past two days in my head of my head to be in town on your phone is to

Material of 32 feet with the person is not sufficient to cover the square garden.

Tristan wants to build a square garden having area = 75 square feet

Since, Area of a square is given by the expression,

Area = (Side)²

By substituting the value of area in the expression,

75 = (Side)²

√75 = √(Side)²

5√3 = Side

Side = 8.66 feet

Since, perimeter of a square is given by the expression,

Perimeter of a square = 4(side)

Therefore, Perimeter of the square garden = 4(8.66)

                                                                        = 34.64 feet

A person has a material of length = 32 feet

If the length of the material is enough to cover the square field,

Length of the material ≥ Perimeter of the garden  

32 feet ≥ 34.64 feet

Which is false.

      Therefore, material is not of enough length to cover the square garden.

Learn more,

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Will Mark Brainlest Help please!!!​

Answers

Answer:

hi how are u I am fine by the way I hope that I dont know the answers

Round 332.749 to:
tens
and
hundredths

Answers

Answer:

To the nearest ten, 330 would be the answer

To the nearest hundredth, the answer would be 332.75

Step-by-step explanation:

I'm not sure if you meant tenths or hundred, but let me know if this is right or wrong :)

Find an equation of the line through the given points right the answer and slope intercept form

Answers

Answer:

equation is y = 2-x

Step-by-step explanation:

x1 = -3

y1 = 5

x2 = 4

y2 = -2

now

m(slope) = rise/run =(y2-y1)/(x2-x1) =(-2-5)/(4+3) = -7/7 = -1

so m = -1

now

y =mx + b

-2 = -1×4 + b

or, -2 = -4 +b

so, b = 2

now

y = mx+b

y = -1x + 2

or, y = 2-x

cho tam giác ABC có A(3;4), B(2;1), C(-1;-2). tìm điểm M nằm trên đường thẳng BC sao cho S ABC=3S ABM

Answers

Answer:

Step-by-step explanation:


Which number is a solution of the inequality?
3x - 15 ≥ 3

a.) -9/11

b.)6/11

c.)6

d.)5

Answers

Answer:

6

Step-by-step explanation:

[tex]3x - 15 \geqslant 3[/tex]

[tex]3x \geqslant 3 + 15[/tex]

[tex]x \geqslant \frac{18}{3} [/tex]

[tex]x \geqslant 6[/tex]

Find the missing letter.

Answers

Answer:

The missing letter is ( J )

PLS HELP ASAP!!

Solve the inequality for 0 √2sinx+√2cosx>0

a. 0 b. 3π/4 c. 0 d. 0

Answers

Answer:

2

Step-by-step explanation:

w

Which of the following equations is an example of inverse variation between
the variables x and y?

Answers

Answer:

B

Step-by-step explanation:

Any inversely proportional equation is of the form y=k/x.

Answer:

Step-by-step explanation:

B

1+1+7+9+9+999999999999=?

Answers

Answer:

1000000000026

Step-by-step explanation:

i hope this helps!!!!!

ASAP PLEASE HELP MEEEEEEEEEEEEEEEEE

Answers

Step-by-step explanation:

Which expression is equivalent to
(4x2x3)(3x*y)2?

Answers

Answer:

48(3xy)

Step-by-step explanation:

(4 * 2 * 3)(3xy)2

24(3xy)2

48(3xy)

Answer problem below

Answers

9514 1404 393

Answer:

  17.078 square units

Step-by-step explanation:

The area of a segment is given by the formula ...

  A = 1/2r²(θ -sin(θ)) . . . . where θ is in radians

The angle θ is 48°, or π(48°/180°) radians = 4π/15 radians.

Then the segment area is ...

  A = (1/2)(19²)(4π/15 -sin(48°)) = 17.078 . . . square units

Write the following integers along the maze so they are
increasing from start to finish. The shaded box in the maze will
have the answer to the question.
5, -14, -39, -3, 61, -60, -23, -72, -48, -11, 100, -45, 10,
-57, -1, -29, -64, -37, 0, -65, 74, 98, -28, -7,-63, -49,
--21, -54, 27, 53,-9, -32, -16,35, -30, -18, -52, 86, -46, 42,
-56, -41, -22, -43, 19
START

Answers

Sorry if you can’t read my handwriting but there you go. I did it in pen too so sorry.

What is the factored form of 6x^2-13x-5

Answers

Answer:

(2x - 5)(3x + 1)

Step-by-step explanation:

Brainliest, please! (Almost an Ace)

1. Find the factors of 6x^2. (Either 2x and 3x, or 6x and 1x.)

2. Find the factors of -5. (Either -1 and 5, or 1 and 5.)

3. Set up 4 different pre-FOIL factored expressions.

4. Check and see which one works. It's (2x - 5)(3x + 1)

The volume of this cube is 64 cubic feet. What is the value of a?

Answers

Answer:

a = 4 feet

Step-by-step explanation:

Since it's a cube, we know that each value will be equal. Because of this, you can cube root the cube's volume to find a.

[tex]\sqrt[3]{64}=4[/tex]

Therefore, a = 4 feet.

Answer:

4

Step-by-step explanation:

To find the area of a cube, we have to multiply the width, height, and length, which, since they are all the same value, would be a side multiplied by itself 3 times(cubed). So, the area of this cube in terms of a(side) is a*a*a or a^3. The area is given to be 64, so we can write:

a^3 = 64

With the equation, we can realize 4*4*4 is 64, meaning a is 4.

I need help to find W =

Answers

Answer:

120

Step-by-step explanation:

Since the figures are similar the angles are the same

<A = <F

<B = <E

<C = <C

<D = <G

We know <G = 120 so angle D = 120

W = <D = 120

Answer:

w = 120 degrees

Step-by-step explanation:

ABCD and FECG are the same shapes, which means they also have the same angles.

∠A = ∠F

∠B = ∠E

∠C = ∠C

∠D = ∠G

∠G = 120°, so D = 120°

So, w = 120°

What is the underlined sentence mean can someone explain

Answers

Step-by-step explanation:

1235

Now when we talk about place values we have ones tens hundreds thousands ten thousands and so on. So when you look at no.1 its place value is ones because 1 is the first value.

So 2 is in tens.

Now the difference of tens and hundreds is tens follows the 2 place value and hundreds the next.

HOPE ITS HELPFUL

Answer:

4544

Step-by-step explanation:

The underlined sentence means that the 2nd and third values must be different, for example

4554 has 5 in the 2nd and 3rd place so cannot be this

4545 and 4544 have 4 and 5 in 2nd/3rd place so this is fine

Since the number is even then it is 4544

Does the graph represent a function? Why or why not?

Answers

Answer:

D. Yes, because it passes the vertical line test.

Step-by-step explanation:

In order to be a function, it needs to pass the vertical line test as a function can not have multiple y's for one x. However, functions can have multiple x's for one y such as in a quadratic function.

Answer:

D.

Brainliest, please!

Step-by-step explanation:

This function passes both the horizontal and vertical line tests. But when determining if it is a function or not, the vertical line test is the only one that matters. If we wanted to know if this function had an inverse or not, then B. would be right.

which is the equation of the line with slope 0 passing through the point (-1,-2)?

Answers

The answer is A.

Because it goes 2 down

3 cm
20 cm
4 cm
Find the volume of the rectangular prism.
[?] cm
Enter

Answers

Answer:

240cm^3

Step-by-step explanation:

3cmx20cmx4cm=240cm^3

for f(x)= -4x + 5, find f(x) when x = -2.

Answers

Answer:

13

Step-by-step explanation:

f(x)= -4x + 5

Let x = -2

f(-2) = -4(-2) +5

      = 8+5

     = 13

Step-by-step explanation:

x = - 2

f ( x ) = - 4x + 5

f ( - 2 )

= - 4 ( - 2 ) + 5

= 8 + 5

= 13

PLEASE HURRY

A. 70.8 ft^2
B. 69.1 ft^2
C. 65.8 ft^2
D. 73.6 ft^2

Answers

Answer:

D. 73.6 ft^2

Step-by-step explanation:

Using trigonometry to get our answer: (we can use SAS to find the area)

A = 0.5 * side a (10ft) * side b (16ft) * sin(67)

A = 80 ft * sin(67)

A = 73.64 ft

Complete the table, and then use the drawing tools to create the graph representing the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x.

Answers

The complete table of the function is:

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]

The equation missing from the question is:

[tex]y = 72 - 12x[/tex]

To complete the table, we simply calculate the y value for each x value;

When [tex]x = 0[/tex],     [tex]y = 72 - 12 * 0 = 72[/tex]

When [tex]x = 1[/tex],     [tex]y = 72 - 12 * 1 = 60[/tex]

When [tex]x = 2[/tex],     [tex]y = 72 - 12 * 2 = 48[/tex]

When [tex]x = 3[/tex],     [tex]y = 72 - 12 * 3 = 36[/tex]

When [tex]x = 4[/tex],     [tex]y = 72 - 12 * 4 = 24[/tex]

When [tex]x = 5[/tex],     [tex]y = 72 - 12 * 5 = 12[/tex]

When [tex]x = 6[/tex],     [tex]y = 72 - 12 * 6 = 0[/tex]

So, the complete table is:

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]

To create a graph of f(x), we simply type [tex]y = 72 - 12x[/tex] on a drawing tool and the graph will be generated.

See attachment for graph

Learn more about graphs at:

https://brainly.com/question/20106471

Answer:

Step-by-step explanation:

. A cook buys six pumpkins. The mean mass of these pumpkins is 2,1 kg. The heaviest pumpkin, which has a mass of 3 kg, is used first. Calculate the mass of the remaining five pumpkins.​

Answers

Answer:

9.6kg

Step-by-step explanation:

If the mean mass is 2.1 we can count the mass of these six pumpkins

the total mass of the pumpkins divided by the quantity of them is equal 2.1

TO find the mass multiply 2.1 by the quantity of them (6)

2.1*6=12.6 - the summary weight of six pumpkins

12.6-3=9.6 - the remainder after using the heaviest pumpkin

Help me find x- geometry

Answers

Answer:

We know that,

The sum of the two opposite angles of a circular quadrilateral is 180 degrees.

So,

[tex] \sf {47}^{ \circ} + 7x + {21}^{ \circ} = {180}^{ \circ} \\ = > 7x = {180}^{\circ} - {47}^{\circ} - {21}^{\circ} \\ = > 7x = 112 \\ = > x = \frac{112}{7} \\ = > x = {16}^{\circ} \\ [/tex]

The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚

Using the above theorem

47 + 7x + 21 = 180

7x + 68 = 180

7x = 180 - 68

7x = 112

x = 112/7

x = 16

Therefore value of x is 16°

Answered by Gauthmath must click thanks and mark brainliest

Let f(x)=x^2+3x-4 and g(x)=x+5. Find f(x)•g(x)

a. x^3+3x^2+16x-20
b. x^3+5x^2+14x-20
c. x^3-8x^2+11x-20
d. x^3+9x^2+19x-20

Answers

Answer:

C is the answer

Step-by-step explanation:

Answer:

none of them is correct. Option c would have been correct if it was +8x² instead of -8x².

A
1
-4
-3
-2
-1
0
00
-1
-2.
The distance AB rounded to the
nearest tenth = [?]
Hint: d = V(x2 – x1)2 + (y2 - yı)2

Answers

Answer:

2.8

Step-by-step explanation:

use the distance formula in the picture:

[tex]\sqrt{(-1-(-3))^2+((-1)-1)^2} = \sqrt{2^2+(-2)^2} = \sqrt{4+4} = \sqrt{8} = 2\sqrt{2} = 2.8284[/tex]

Answer:

AB ≈ 2.8

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (- 3, 1) and (x₂, y₂ ) = B (- 1, - 1)

d = [tex]\sqrt{(-1-(-3))^2+(-1-1)^2}[/tex]

  = [tex]\sqrt{(-1+3)^2+(-2)^2}[/tex]

  = [tex]\sqrt{2^2+4}[/tex]

  = [tex]\sqrt{4+4}[/tex]

  = [tex]\sqrt{8}[/tex]

  ≈ 2.8 ( to the nearest tenth )

 

A to B is 420 mile away, A travels 40 mph and B travels 80 mph. they toward to each other. how many hour will they meet ?

Answers

Answer:

Step-by-step explanation:

I hope these are people in vehicles travelling toward each other.

80 mh * t + 40 mph * t = 420 miles

The two vehicles are going to travel a total of 420 miles. B will cover a lot more ground than A, but together they will make 420 miles

80t + 40t = 420

120t = 420

t = 420/120

t = 3.5

So after driving 3.5 hours, the two cars will meet.

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