Gigi graphs the parabola (x+1)2=2(y−3).

How does she proceed?

Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements.

Gigi Graphs The Parabola (x+1)2=2(y3).How Does She Proceed?Drag A Value, Coordinates, Equation, Or Word

Answers

Answer 1

After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:

Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].

Since Gigi's parabola has the x-term squared, then the parabola has the general formula

[tex](x-h)^2=4p(y-k)[/tex]

So,

[tex]x-h=x+1 \implies h=-1[/tex]

[tex]y-k=y-3\implies k=3[/tex]

The vertex is

[tex](h,k)=(-1,3)[/tex]

The focus is

[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]

The directrix is

[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]

The other values can be computed as follows;

Direction the parabola opens: Since the value of p is positive, the parabola opens up.

Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is

[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]

Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be

[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]

Learn more about conic sections here: https://brainly.com/question/12854078

Answer 2

Answer:

I took the quiz.

Step-by-step explanation:

Gigi Graphs The Parabola (x+1)2=2(y3).How Does She Proceed?Drag A Value, Coordinates, Equation, Or Word

Related Questions

find the domain below

Answers

Answer:

Interval Notation: [-2, 10]

Set Notation: {x|-2≤x≤10}

Step-by-step explanation:

Kayden practices the piano 609 minutes in 3 weeks. If t represents the total time he
practices for any number of days, d, write a proportional equation for t in terms of d
that matches the context.

Answers

Answer:

Step-by-step explanation:

Find your own values that prove that tan(u-v) does not equal tan u - tan v. Show your work and explain why you chose these values.

Answers

To prove that tan(u - v) does not equal tan u - tan v, we start by assuming values for u and v.

To do this, we assume the following values

[tex]\mathbf{u = 75}[/tex]

[tex]\mathbf{v = 45}[/tex]

So, we have:

[tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex]

Substitute the assumed values for u and v

[tex]\mathbf{tan(75 - 45) \ne tan(75) - tan(45)}[/tex]

Subtract 45 from 75

[tex]\mathbf{tan(30) \ne tan(75) - tan(45)}[/tex]

Using a calculator, calculate the values of tan(30), tan(45) and tan(75)

So, we have:

[tex]\mathbf{0.5774 \ne 3.7321 - 1}[/tex]

Subtract 1 from 3.7321

[tex]\mathbf{0.5774 \ne 2.7321}[/tex]

Notice that the expression on the left-hand side and the expression on the right-hand side are not equal.

Hence, [tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex] is true

Read more about proofs of trigonometry at:

https://brainly.com/question/22698523

Use intercepts to graph the equation -x+5y=5

Answers

I hope this helps answer your question

For a school fund raising project, Aiden and Jacob collected money in the ratio 3.5;6.8. Jacob collected $115.50 more than Aiden. Find the total amount of money they collected

Answers

Answer:

Step-by-step explanation:

If (x 2y)dy/dx=2x-y what is the value of.

Answers

The second differential of the function is 3/7

Given the differential function [tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]

Differentiate both sides with respect to x implicitly

[tex](x +2y)=\frac{dy}{dx} (2x-y)[/tex]

[tex]1+2y'=y"(2x-y)+y'(2-y') \\y''=\frac{1+2y'}{(2x-y)+y'(2-y') }[/tex]

Get the first derivative at the point (3, 0)

[tex]y'=\frac{2x-y}{x+2y} \\y'=\frac{2(3)-0}{0+2(3)}\\y'=\frac{6}{6} \\y'=1[/tex]

Substitute into the second derivative to have:

[tex]y''=\frac{1+2y'}{(2x-y)+y'(2-y') }\\y''=\frac{1+2(1)}{(2(3)-0)+(1)(2-(1)) }\\y''=\frac{3}{6+1} \\y''=\frac{3}{7}[/tex]

Hence the second differential of the function is 3/7

learn more on differential equation here; https://brainly.com/question/18760518

Complete question:

If (x 2y)dy/dx=2x-y what is the value of [tex]\frac{d^2y}{dx^2}[/tex] the point (3,0)

please help me :) there is a picture

Answers

Yes it’s on the line.
Explanation: the ratio of the point (20,16) is 5/4 and the slope of the line is 5/4. You can also take the slope of (20,16) and (4,5) they also have the slope 5/4

C = 5/9 (F − 32)


The equation above gives the Celsius temperature, C, corresponding to the Fahrenheit temperature, F. Find the Celsius temperature equivalent to 77° F.


A. 25° C

B. 57° C

C. 45° C

D. 30° C

Answers

the answer is the first one 25
C I think, because the answer I got was 40

I need help thanks a lot

Answers

The answers are below:
1. 7
2. 6.32
3. 6

Hope this helps!

Answer:

Below!

Step-by-step explanation:

First, let's simplify the roots for each.

√49 = √7 x 7 = 7√40 = √4 x 10 = 2√10 = 6.32√36 = √6 x 6 = 6

Please check out the file so you can see the graphed points on the line. I apologize for the bad mouse-writing.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Imagine that you have been asked to write a letter to a 7thgrader. Using academic vocabulary and 5-7 complete sentences, write a letter teaching a 7thgrader about something you have learned in 8thgrade Math this year.
please help me!

Answers

Answer:

step 1: what have you learned?

We cant help you because we do not know what you have learned.

but if you comment your vocab words and what u learned  i can help you  

   Step-by-step explanation:

PLEASE HELP!!! URGENT!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

For a relation to be a function then every value of x must map to exactly one unique value of y.

Here every x- value corresponds to exactly one y- value

Then the ordered pairs represent a function

The aquarium in Mrs. Mnon's
class holds 10 gallons. How many
quarts does the tank hold? How
many pints? Please

Answers

There are 4 quarts in a gallon and 8 pints in a gallon so 40 quarts or 80 pints

What is the value of x?


A hexagon (6 sides)

133°
112°

120°
128°
100°


please help asap, no links

Answers

Answer:

X is 120° I hope this helps you

y = 3x + 21. which ordered pair is a solution to the equation

Answers

the answer is (-7,21)

Answer:

(1, 24 )

Step-by-step explanation:

Substitute any value of x into the equation and evaluate for y

x = 1 → y = 3(1) + 21 = 3 + 21 = 24 , then

(1, 24 ) is a a solution to the equation

Select the correct answer.
Ann is buying a house that costs $250,000. She is making a down payment of 15 percent, and her closing costs will amount to 3 percent. Over the life of her loan, she will pay $282,089.89 in monthly payments. What is the total cost of her house?

A.
$327,089.89
B.
$338,390.89
C.
$339,560.89

Answers

Answer:

c i think

Step-by-step explanation:

I'm sorry if not

If 5 gallons of gas cost $7.79, how much
will 7 gallons cost?

Answers

Answer:

$10.91

Step-by-step explanation:

7 gallons cost:

[tex](\frac{7.79}5}) (7)=\frac{(7.79)(7)}{5} =10.906[/tex]  

rounded to cents: 10.91

I hope this help you

the answer is $10.91 for seven gallons, if u divide 7.79 by 5 it will give you the cost per gallon then once multiplied by how many gallons you will get the correct answer.

which shows 2^-2 * 2^6 in exponential form

Answers

Answer:

16

Step-by-step explanation:

2^-2=0.25

2^6=64

times

=16

Is this answer right?

Answers

Answer:

Step-by-step explanation:

all angles are congruent:false

B.consecutive angles are congruent:false

corresponding angles are congruent:true.

c.diagonals bisect eachother:true.

d.diagonals bisect opposite angles:false.

Anyone know how to answer this

Answers

Answer:

21

Step-by-step explanation:

The average rate of change of function f(x) from x = a to x = b is

[tex] \dfrac{f(b) - f(a)}{b - a} [/tex]

Here we have

a = -1

b = 2

f(a) = f(-1) = 1

f(b) = f(2) = 64

[tex] \dfrac{f(b) - f(a)}{b - a} = [/tex]

[tex] = \dfrac{f(2) - f(-1)}{2 - (-1)} = [/tex]

[tex] = \dfrac{64 - 1}{2 + 1} [/tex]

[tex] = \dfrac{63}{3} [/tex]

[tex] = 21 [/tex]

A. Complete the table if y varies
directly as x or x2
B. Complete the table if y varies inversely as x.

Answers

Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x

Table 1:

y = k × x

30 = k × 5

30 = 5k

k = 30/5

k = 6

So,

y = 30

y = 30 k = 6

y = 30 k = 6x = 5

y = 30 k = 6x = 5Equation: y = 6x

y = k × x

y = 10 × 8

y = 80

So,

y = 80

y = 80 k = 10

y = 80 k = 10x = 8

y = 80 k = 10x = 8Equation: y = 10x

y = 3x

18 = 3x

x = 18/3

x = 6

So,

y = 18

y = 18k = 3

y = 18k = 3x = 6

y = 18k = 3x = 6Equation: y = 3x

y = 2x²

72 = 2x²

x² = 72/2

x² = 36

x = √36

x = 6

So,

y = 72

y = 72k = 2

y = 72k = 2x = 6

y = 72k = 2x = 6Equation: y = 2x²

Table 2:

y = k/x

5 = k/6

5 × 6 = k

30 = k

So,

y = 5

y = 5k = 30

y = 5k = 30x = 6

y = 5k = 30x = 6Equation: y = 30/x

y = k/x

y = 36/4

y = 9

So,

y = 9

y = 9k = 36

y = 9k = 36x = 4

y = 9k = 36x = 4Equation: y = 36/x

y = 60/x

20 = 60/x

20x = 60

x = 60/20

x = 3

So,

y = 20

y = 20k = 60

y = 20k = 60x = 3

y = 20k = 60x = 3Equation: y = 60/x

y = 24/x

y = 24/12

y = 2

So,

y = 2

y = 2k = 24

y = 2k = 24x = 12

y = 2k = 24x = 12Equation: y = 24/x

Read more:

https://brainly.com/question/472621

The maximum land speed of a cheetah is about 120km/hour.
What is this speed limit, rounded to the nearest whole number, in m/s?

Answers

Answer:

  33 m/s

Step-by-step explanation:

  120 km/h × (1 h)/(3600 s) × (1000 m)/(1 km) ≈ 33 m/s

_____

Additional comment

In general, units conversion is done by multiplying by a factor whose numerator and denominator have equal values, but different units. The units in that fraction need to be arranged to cancel the units you don't want and leave the units you do want.

4-7 questions need help

Answers

can u put it up close so i can see

How to find left and right inverse of a 3x2 matrix.

Answers

Let A be a 3×2 matrix, L its left inverse, and R its right inverse. L and R are then matrices such that LA = I₂ (the 2×2 identity matrix) and AR = I₃ (the 3×3 identity matrix). Clearly L must be 2×3 and R must be 3×2 in order for the matrix products to be defined.

To find L and R, we start by introducing a square matrix on the the left sides of either equation above. In particular, we uniformly multiply both sides by the transpose of A, then solve for the inverse.

For the left inverse, we have

[tex]LA=I[/tex]

[tex](LA)A^\top = IA^\top[/tex]

[tex]L\left(AA^\top\right) = A^\top[/tex]

[tex]\left(L\left(AA^\top\right)\right)\left(AA^\top\right)^{-1} = A^\top \left(AA^\top\right)^{-1}[/tex]

[tex]L\left(\left(AA^\top\right)\left(AA^\top\right)^{-1}\right) = A^\top \left(AA^\top\right)^{-1}[/tex]

[tex]LI = A^\top \left(AA^\top\right)^{-1}[/tex]

[tex]L = A^\top \left(AA^\top\right)^{-1}[/tex]

We do the same thing for the right inverse, but take care with how we multiply both sides of AR = I₃.

[tex]AR=I[/tex]

[tex]A^\top(AR)=A^\top I[/tex]

[tex]\left(A^\top A\right)R = A^\top[/tex]

[tex]\left(A^\top A\right)^{-1} \left(\left(A^\top A\right)R\right) = \left(A^\top A\right)^{-1} A^\top[/tex]

[tex]\left(\left(A^\top A\right)^{-1} \left(A^\top A\right)\right) R = \left(A^\top A\right)^{-1} A^\top[/tex]

[tex]IR = \left(A^\top A\right)^{-1} A^\top[/tex]

[tex]R = \left(A^\top A\right)^{-1} A^\top[/tex]

The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:

Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6

In which step did the student first make an error and what is the correct step?

A). Step 2; 8x − 4 = 2(6 + x + 6)

B). Step 2; 8x − 16 = 16 + 2x

C). Step 3; 6x − 2x = 16 − 8

D). Step 3; 6x + 2x = 16 + 8

Answers

Answer:

B

Step-by-step explanation:

He added 4 to 2 instead of multiplying.

Can someone help me with this. I tried to total all them up with 180 but none of the answers i got match the ones from the riddle

Answers

Answer:

9. x=102

10. x=56

11. x=104

12. x=138

Step-by-step explanation:

9.  In this problem, they are alternate exterior angles, meaning they are the same value.  x=102

10.  x is a corresponding angle, meaning they are the same. x=56

11. There are consecutive interior angles. The sum of these two angles is 180. to find x, subtract 76 from 180.  180-76 = 104  x = 104

12. These two angles are verticle angles, meaning they are equivalent. x = 138

I need help quick desperate

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

6.
Which of the following equations describes the graph?
A. y= -2x^2 - 4
B. y= 2x^2 + 4
C. y= -2x^2 + 4
D. y= 2x^2 - 4

Answers

Answer:

C. y= -2x^2 + 4

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

4

)

Focus:  

(

0

,

33

8

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

31

8

x

y

2

12

1

6

0

4

1

6

2

12

________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

4

)

Focus:  

(

0

,

33

8

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

31

8

x

y

2

12

1

6

0

4

1

6

2

12

______________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

4

)

Focus:  

(

0

,

31

8

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

33

8

x

y

2

4

1

2

0

4

1

2

2

4

_______________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

4

)

Focus:  

(

0

,

31

8

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

33

8

x

y

2

4

1

2

0

4

1

2

2

4

Gavin deposited $200 into his savings account that is compounded semi-annually at an interest rate of 9%. Gavin hoped he would have enough money in 8 years to buy a $400 gaming console for college. Is Gavin correct? Write and solve an equation, showing your work to justify your answer​

Answers

Answer:

His answer was correct:

(200*0.09)=18

18*16=288

200+288=488

on weekends a movie ticket costs $10.50. form an inequality and solve it to find the maximum number of tickets kate can buy with $205
STEP BY STEP EXPLANATION PLEASE

Answers

$10.50

10 Tickets would be $105.00

$105.00 - $10.50 = $94.50 so 9 Tickets would be $94.50

$105.00 + $94.50 = $199.50

$205.00 - $199.50 = $5.50 which isn't enough for another ticket.

10 Tickets + 9 Tickets = 19 Tickets.

the ratio 18:24 in its simplest form is?

Answers

Answer:

3:4

Step-by-step explanation:

18 = 2 * 3 * 3

24 = 2 * 2 * 2 * 3

HCF = 2 * 3 = 6

Divide by 6

18: 24 = 18÷6  : 24÷6

          = 3 : 4

Answer:

it's 3:4

Step-by-step explanation:

18 ÷ 6 : 24 ÷ 6

3 : 24 ÷ 6

=3:4

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