x-4-2=-11
i need help on this asap

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:

I took the quiz.

Step-by-step explanation:

Answer:

i think that the correct answer is 7/12

Answer:

why did you need to play with you are you board of playing then stop playing game

Answer:

B. (3, 0)

Step-by-step explanation:

It's B. (3,0) because it's on the line of 3 and 0 aka x axis

Answer:

ANS is g=5

step 1: 3g=19-4

step2: or,3g=15

step 3: or,g=15%3

step 4: or,g=5

Hope it helps.

Can you give me BRAINLIEST ANSWER

THANK YOU

Answer:

3x--666667666666666666666666666666

Answer:

ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252

Hope This Helps!!!

Marked down 1/9 means it sold for 8/9 of the original price.

Divide the sale price by 8/9:

224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252

The original price was $252

Answer:

71°

Step-by-step explanation:

exterior angle = sum of two opposite interior angle

142°=2x°

x°=142°/2

x°=71°.

hope this helps you.

y = 147° ( Vertically opposite angles)

[tex]y + x + x = 180° \\ 147 + 2x = 180° \\ 2x = 180 - 147 \\ 2x = 33 \\ x = \frac{33}{2} \\ x = 16.5[/tex]

Answer:

2

Step-by-step explanation:

Answer:

30+13.5=43.5 so she needs 6.5 more points

Step-by-step explanation:

Answer:

t=(v-u)/a

hope it will help you

[tex] \frac{3}{4} \div \frac{3}{8} = \\ [/tex]

[tex] \frac{3}{4} \times \frac{8}{3} = \\ [/tex]

[tex] \frac{8}{4} = \\ [/tex]

[tex]2[/tex]

Answer:

w [tex]\leq[/tex] 3,600

Step-by-step explanation:

[tex]\leq[/tex]  means less than or equal to.

Step-by-step explanation:

as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)

we know that f(62)=-490 so a= -0.7

so f(x)= -0.7(x+8)(x-72)

Answer:

10 hours

Step-by-step explanation:

let x be the total number of hours

Amazing design total charge = 45x+250

super structures total charge = 60x+100

both companies charge the same amount when both equation equals

45x+250=60x+100

60x-45x=250-100

15x=150

x=10

therefore at 10 hours both companies will charge the same amount

Answer:

6%

Step-by-step explanation:

I =Prt I being interest paid, P is Principal, r is rate, t is term

2400=4000x r x 10

2400=40000r

2400/40000=.06 convert to percentage by multiplying by 100 x. 06=6

Answer:

5^9

Step-by-step explanation:

I had this question before.

Answer:

(136.60 - 61.60) / 30 = 2.5 hours

Step-by-step explanation:

First, subtract the cost of parts from the total: 136.60 - 61.60 = 75

Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5

Answer:

a

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Step-by-step explanation:

first you need m and m is -15/5 that means -3

your function is mx =y so your function is -3x= y

Answer:

a1=130;an=an−1+10

Step-by-step explanation:

The answer is the third one.

She starts with 130

a1 = 130

She adds 10 every month.

So you take the number she had last month (represented by a_n-1) and adds 10.

Answer

a1 = 130

an = an_1 + 10

C

A degree in a polynomial function is the greatest exponent of that equation, which determines the most number of solutions that a function could have and the most number of times a function will cross the x-axis when graphed.

Answer:

-27/64p^3  

Tell me if you want a step by step. :)

190=110+70+95−(30+25+40)+x190=110+70+95−(30+25+40)+x

Simplifying, we get that x=10x=10.

its 10

Answer:

Step-by-step explanation:

The formula of a perimeter of a rhombus:

P = 4a

a - length of side

We have a = 17ft

P = 4 · 17ft = 68ft

[tex] \frac{3}{10y} - \frac{2}{5} = \frac{3 - 4y}{10y} [/tex]

Answer:

y=9

a=1.5

n=74

v=8

k=11

Answer:

Step-by-step explanation:

The vertex is halfway between the focus and the directrix:

  ((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates

The value of p is the distance from the focus to the vertex:

  7 -5 = 2 = p

In vertex form, the equation of the parabola is ...

  y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)

  y = 1/8(x +7)^2 +5