PLEASE HELP!

What is the equation of the directrix
for the following parabola:
(x - 1)^2 = 12(y + 2)
A. Y = -5
B. X = -5
C. y = -3
D. y = -12

Answer:

Sebastian

Step-by-step explanation:

Answer:

≈10502.7

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

160π cubic units.

»»————-　★　————-««  

Here’s why:

The formula for volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

[tex]\boxed\text{Key:}\\\\[/tex][tex]\boxed{\text{Key:}}\\\\\text{R - Radius}\\\\\text{H - Height}[/tex]

⸻⸻⸻⸻

We are given:

⸻⸻⸻⸻

We will replace the 'r' with '4' and we will replace the 'h' with '10'.

⸻⸻⸻⸻

There are two ways to express the answer, either an exact answer in terms of pi or an approximation using 3.14 for pi.

For this answer, I will use the exact terms.

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Volume of the Cylinder:}}\\\\V=\pi 4^210\\\\-------\\\rightarrow V=4^2*10*\pi \\\\\rightarrow V=16*10*\pi\\\\\boxed{V=160\pi}[/tex]

The answer should be [tex]\boxed{160\pi\text{ units} ^3.}[/tex]

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

18x^2+6

Step-by-step explanation:

2(9x^2+3)

multiply each term in parentheses by 2

2 x 9x^2+2 x 3

calculate product

18x^2+2 x 3

multiply numbers

18x^2+6

Answer:

The answer is -7, because -15-9=-7

Answer: [tex]9\pi \ in.^2[/tex]

Step-by-step explanation:

Given

The height of the cylinder is [tex]h=7\ in.[/tex]

The volume of the cylinder is [tex]V=63\pi \ in.^3[/tex]

The volume of the cylinder is the product of area and height

[tex]\Rightarrow V=\pi r^2h\\[/tex]

Insert the values

[tex]\Rightarrow 63\pi =A\times 7\\\\\Rightarrow A=\dfrac{63\pi}{7}\\\\\Rightarrow A=9\pi\ in.^2[/tex]

Thus, the area of the cross-section is [tex]9\pi \ in.^2[/tex]

Answer:

To graph the equation, you need to find the slope and y-intercept.

y = mx + b

⬑[slope-intercept formula; m is the slope, and b is the y-intercept]

y = 4x + −1

⬑[given equation before being simplified]

y = 4x − 1

⬑[given equation]

║m = 4

║b = (0, −1)

Proof:

m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

x₁ = 0

x₂ = 1

y₁ = −1

y₂ = 3

m = [tex]\frac{3 - -1}{1 - 0}[/tex]

║m = 4

║b = (0, −1)

[the value for x₁ and y₁ equals the y-intercept: (0, −1)]

Graph:

Answer:

The correct graph should have an x-intercept of 24, a y-intercept of 72, connected by a dashed line, with shading to the right

Step-by-step explanation:

y > -3x + 7

The correct graph should have an x-intercept of 7/3, a y-intercept of 7, connected by a dashed line, with shading to the right

Kendra's charge per car in the toy store is $1.8.

"Systems of equations, sometimes called simultaneous equations, are a group of relationships between various unknown variables that can be expressed in terms of algebraic expressions".

For the given situation,

Let the number of cars be 'x' and

The number of candy be 'y'

$5.00 for two cars and one piece of candy

$3.2 for one car and one piece of candy

System of the equation for the above case

Equation 1:

[tex]2x + y = 5[/tex]

Equation 2:

[tex]x + y = 3.2[/tex]

Subtract equation 2 from equation 1,

⇒ [tex]x=1.8[/tex]

On substituting x in equation 2, we get

⇒ [tex]y=3.2-1.8[/tex]

⇒ [tex]y=1.4[/tex]

Hence we can conclude that Kendra's charge per car is $1.8.

Learn more about the system of equations here

https://brainly.com/question/9351049

#SPJ2

Answer:

Hi, there

Question 1: B. 6x^3(x-6)

Question 2: A. (8x+3)^2

Question 3: A. (5x+9y)(5x-9y)

Question 4: D.(x-2)(x-3)

Step-by-step explanation:

Hope this helps :)

Answer: 6

Step-by-step explanation:

ab:pq = 5:35, and ac:pr=x:42

because ab:pq=5:35, then it becomes 1:7, as you can divide by 5 on both sides. Ac:pr=x:42, and 42=7x. When you solve that x=6.

hope that makes sense!

+Answer:

You are lying more then telling the truth.

Step-by-step explanation:

At first, it was a lie but a coincidence happened, so it is more lying in my opinion.

Answer:

75ft

Step-by-step explanation: angles

Answer:

18 cents

Step-by-step explanation:

25 times 5 plus 30 plus 4

Answer:

$0.18

Step-by-step explanation:

Answer:

A Dramatic change in appearance or form

Step-by-step explanation:

Answer:

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system. Mathematical transformations describe how two-dimensional figures move around a plane or coordinate system. A preimage or inverse image is the two-dimensional shape before any transformation.

Answer:

0.04

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

R (- 3, 3 ) → R' (3, 3 )

S (- 3, 8 ) → S' (3, 8 )

T (- 2, 7 ) → T' (2, 7 )

Answer:

(a) is true

Step-by-step explanation:

Given

See attachment for box plots

Required

Which of the options is true?

Option A compares the IQR of both plots.

IQR is calculated using:

[tex]IQR = Q_3 - Q_1[/tex]

Where

[tex]Q_1 \to[/tex] Lower quartile

[tex]Q_2 \to[/tex] Upper quartile

From the attached plots, we have:

Republican

[tex]Q_1 = 170.5[/tex]

[tex]Q_3 = 356[/tex]

So:

[tex]IQR = 356 - 170.5[/tex]

[tex]IQR = 185.5[/tex]

Democratic

[tex]Q_1 = 181[/tex]

[tex]Q_3 = 367.5[/tex]

So:

[tex]IQR = 367.5 - 181[/tex]

[tex]IQR = 186.5[/tex]

We have:

[tex]IQR = 185.5[/tex] --- Republican

[tex]IQR = 186.5[/tex] --- Democratic

Hence, (a) is true

Answer:

Sqrt 29

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:

5 × [tex]10^{6}[/tex] ÷ 2.5 × 10³

5000000 ÷ 2500

2000

Answer:

75%

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 75%

Step-by-step explanation:

Answer:

ka=2.8×10>4

Step-by-step explanation:

.$%_&<</___/%$

Answer:

He has 1/6 of his book left to read.

Step-by-step explanation:

1/2 + 1/3 = 3/6 + 2/6 = 5/6

And 6/6 - 5/6 = 1/6

Answer:

it sold 300 newspapers because you needed to multiply 25x 12

Step-by-step explanation:

Answer:

[tex]y=-3x+5[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y= -3x -5[/tex]

With the given line, we can identify clearly that -3 is in the place of m, making it the slope. Because parallel lines have the same slopes, the slope of the line we're currently solving for would also be -3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-3x+b[/tex]

Plug in the given point (1,2) and isolate b

[tex]2=-3(1)+b\\2=-3+b[/tex]

Add 3 to both sides

[tex]2+3=-3+b+3\\5=b[/tex]

Therefore, the y-intercept of the line is 5. Plug this back into [tex]y=-3x+b[/tex]:

[tex]y=-3x+5[/tex]

I hope this helps!

Answer:

its either 11 or 2/3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

22/11 = 2

77/11 = 7

110 /11 = 10

121/11 = 11

In each case, when you divide the input by 11 you get the output.

The rule is to divide the input by 11.

Answer: D