A parabola has the focus at (4, 6) and the directrix y = –6. Which equation represents this parabola?

(x – 4)2 = 24y
(x – 4)2 = StartFraction 1 Over 24 EndFractiony
(x – 4)2 = –24y
(x – 4)2 = Negative StartFraction 1 Over 24 EndFractiony

Answer:

c!

Step-by-step explanation:

good luck! :)

Answer:

c electrical to kinetic

Answer:

D

Step-by-step explanation:

Chemical to electric to kinetic

Answer:

-4 degrees Celsius

Step-by-step explanation:

F = 25

Substitute into formula:  25 = 9/5C + 32

subtract 32 from each side:  -7 = 9/5C

multiply each side by the reciprocal of 9/5, which is 5/9

-7(5/9) = C

C = -35/9 which is close to -36/9 which is -4 degrees Celsius                                        

Answer:

1.5

Step-by-step explanation:

Well, if we calculate the divisionary constant between the two values we can establish a quantum link on the 4th dimension and then add 12 to both sides of the equation, then calculate the square of the 7th digit in the alphabet, giving the answer 1.5.

or like,

change in y value divided by change in x value, giving;

(10-1) / (7-1)

Answer:

8 is the right answer

Step-by-step explanation:

in triangle swu,, wT bisect and perpendicular on su

so the triangle is isosceles triangle

therfore,Sw =, 8

Answer:

7

Step-by-step explanation:

Answer:

C. not enough info

Step-by-step explanation:

Since the indicated angle in the triangle on the left is between the two sides that are marked congruent, and the marked angle on the triangle on the right is not between the two marked sides, there is not enough information to say whether the two triangles are congruent or not.

Answer:

Step-by-step explanation:

a. 35 greater than or equal to 14 + x

   35 - 14 = 21

   x = $21

b. If the shirt is 30% off it would cost $9.80

   14 x 0.3 = 4.2

   14 - 4.2 = 9.8

   35 is greater than or equal to 9.80 + x

   35 - 9.8 = 25.2

   x = $25.20

   This changes the inequality by making x greater than it was in part a

c. Yes, you do have enough money to buy the shirt that is on sale and a pair of pants. x is the amount that you have left to spend after you buy the shirt that is on sale. 25.20 is greater than the cost of the pants.

Answer:

69

Step-by-step explanation:

Answer:

1.71 × 10^8 gallons

Step-by-step explanation:

1.9 × 10^7 = 19,000,000

19,000,000 × 9 = 171,000,000

171,000,000 in scientific notation is 1.71 × 10^8

It looks like you're given

F'(x) = 3x² + 7

and

F (0) = 5

and you're asked to find F(b) for the values of b in the list {0, 0.1, 0.2, 0.5, 2.0}.

The first is done for you, F (0) = 5.

For the remaining b, you can solve for F(x) exactly by using the fundamental theorem of calculus:

[tex]F(x)=F(0)+\displaystyle\int_0^x F'(t)\,\mathrm dt[/tex]

[tex]F(x)=5+\displaystyle\int_0^x(3t^2+7)\,\mathrm dt[/tex]

[tex]F(x)=5+(t^3+7t)\bigg|_0^x[/tex]

[tex]F(x)=5+x^3+7x[/tex]

Then F (0.1) = 5.701, F (0.2) = 6.408, F (0.5) = 8.625, and F (2.0) = 27.

On the other hand, if you're expected to approximate F at the given b, you can use the linear approximation to F(x) around x = 0, which is

F(x) ≈ L(x) = F (0) + F' (0) (x - 0) = 5 + 7x

Then F (0) = 5, F (0.1) ≈ 5.7, F (0.2) ≈ 6.4, F (0.5) ≈ 8.5, and F (2.0) ≈ 19. Notice how the error gets larger the further away b gets from 0.

A better numerical method would be Euler's method. Given F'(x), we iteratively use the linear approximation at successive points to get closer approximations to the actual values of F(x).

Let y(x) = F(x). Starting with x₀ = 0 and y₀ = F(x₀) = 5, we have

x₁ = x₀ + 0.1 = 0.1

y₁ = y₀ + F'(x₀) (x₁ - x₀) = 5 + 7 (0.1 - 0)   →   F (0.1) ≈ 5.7

x₂ = x₁ + 0.1 = 0.2

y₂ = y₁ + F'(x₁) (x₂ - x₁) = 5.7 + 7.03 (0.2 - 0.1)   →   F (0.2) ≈ 6.403

x₃ = x₂ + 0.3 = 0.5

y₃ = y₂ + F'(x₂) (x₃ - x₂) = 6.403 + 7.12 (0.5 - 0.2)   →   F (0.5) ≈ 8.539

x₄ = x₃ + 1.5 = 2.0

y₄ = y₃ + F'(x₃) (x₄ - x₃) = 8.539 + 7.75 (2.0 - 0.5)   →   F (2.0) ≈ 20.164

Answer:

y = -1.6x + 4

Step-by-step explanation:

y = mx + b

y = (-1.6)x + (4)

y = -1.6x + 4

The equation of line with a slope of -1.6 and a y-intercept of 4 in slope- intercept form is,

⇒ y = - 1.6x + 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

Slope of the line (m) = - 1.6

And, The y - intercept = 4

We know that;

The slope intercept form of an equation of line is,

⇒ y = mx + b

Where, 'm' is slope of the line and 'b' is y - intercept of the line.

Hence, The equation of line with a slope of -1.6 and a y-intercept of 4 in slope- intercept form is,

⇒ y = mx + b

⇒ y = - 1.6x + 4

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Answer:

x=4

Step-by-step explanation:

since y=7x

x+7x=32

8x=32

x=4

Answer:

x=4

Step-by-step explanation:

x+y=32

y=7x

Since Y can be replaced by 7x, substitute into eq1.

x+y( notice y can be replaced by 7x) =32

x+7x=32 ( Y got replaced

8x=32

Divide 8 on both sides.

x=4

Hope this helps plz hit the crown :D

Answer:

B

Step-by-step explanation:

you do 0.74 + 0.18 and then subtract 0.8

Answer:

Step-by-step explanation:

angles x, 2x, and 23.7 add up to 180 degrees

x + 2x + 23.7 = 180

3x + 23.7 = 180

subtract 23.7 on both sides

3x + 23.7 - 23.7 = 180 - 23.7

3x = 156.3

divide both sides by 3

x = 52.1

Angle C is a straight line = 180 degrees

Angle B is found by adding 32.5 and x, and subtracting it from 180 degrees (since three angles in a triangle must add up to 180)

we found x = 52.1 degrees

so angle B = 180 - 32.5 - 52.1 = 95.4 degrees

please give heart and brainliest :)

Answer:

$

Step-by-step explanation:

Unit conversion is the conversion of one unit to another unit with its standard conversion.

20 nickels = $1

10 dimes = $1

1 nickel = 5 cents

1 dimes = 10 cents

The number of nickels is 5.

The number of dimes is  15.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 1000 m

We have,

20 nickels = $1

10 dimes = $1

1 nickel = 5 cents

1 dimes = 10 cents

Now,

Let,

Dimes = 3x

Nickels = x

Now,

The total number of cents.

10(3x) + 5x = 180

30x + 5x = 180

35x = 180

x = 5.14

x = 5

Now,

3x = 3 x 5 = 15

Thus,

The number of nickels is 5.

The number of dimes is  15.

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Answer:

right  =86

left=94

Step-by-step explanation:

they should add up to 180 so,

6x+52+9x+23 =180

then solve for x

15x+75=180

subtract 75

15x=105

divide by 15

x=7 ,

the left side is

6(7)+52=

42+52=94

the right side

9(7)+23=

63+23=86

(please mark brainliest if correct)

Answer:

11.10

Step-by-step explanation:

may be not sure about it

Answer:

1:6

Step-by-step explanation:

1 year = 12 months

4 year = 4 × 12 months

          = 48 months

Baby = 8 months

Elder sister = 48 months

B  :  ES

8  :  48

÷8:÷8

1  :  6

Answer:

jflsnfjclewndlsfjnenqwpcpoop

Step-by-step explanation:

Hehe

Step-by-step explanation:

By Sine rule, BC/sin93° = 11/sin42°.

Therefore BC = 16.4.

Answer:

2/16-6/16

Step-by-step explanation:

Answer:

2 1/4

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

Answer:

simple

Step-by-step explanation:

p= 30

hahahaha asking how

ok let's go

that 90°is also 90°in those angles around it

for the 140

sum of angles in a straight line =180

180-140

that's 40

90+40 =130

then sum of angles in a triangle=180

therefore 180-130=50

MAGIC/WISDOM

hope it's helpful thank me later

I think 88 problems were on the test.

Answer:

[tex]Leg\ 1 = 8[/tex]

[tex]Leg\ 2 = 15[/tex]

Step-by-step explanation:

Given: See Attachment

Required

Determine the length of the legs

To do this, we apply Pythagoras theorem.

[tex]Hyp^2 = Adj^2 + Opp^2[/tex]

In this case:

[tex]17^2 = x^2 + (2x- 1)^2[/tex]

Open Bracket

[tex]17^2 = x^2 + 4x^2- 2x-2x + 1[/tex]

[tex]17^2 = 5x^2 - 4x + 1[/tex]

[tex]289= 5x^2 - 4x + 1[/tex]

Collect Like Terms

[tex]5x^2 - 4x + 1 - 289 = 0[/tex]

[tex]5x^2 - 4x - 288 = 0[/tex]

Solving using quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

So:

[tex]x = 8[/tex] or [tex]x = -7.2[/tex]

Since, x can't be negative, then:

[tex]x = 8[/tex]

One of the leg is:

[tex]Leg\ 1 = x[/tex]

[tex]Leg\ 1 = 8[/tex]

[tex]Leg\ 2 = 2x - 1[/tex]

[tex]Leg\ 2 = 2*8 - 1[/tex]

[tex]Leg\ 2 = 16 - 1[/tex]

[tex]Leg\ 2 = 15[/tex]