The standard form of the equation of a parabola is x = y2 + 6y + 1. What is the vertex form of the equation? O A. x = (y + 3)2 - 8 O B. x = (y + 6)2-11 O C. x = (y + 6)2-35 O D. x = (y + 3)2-5​

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Given

x = y² + 6y + 1

To complete the square

add/subtract ( half the coefficient of the y- term )² to y² + 6y

x = y² + 2(3)y + 9 - 9 + 1

  = (y + 3)² - 8

Answer 2

The vertex form of the equation of a parabola is,

⇒ x = (y + 3)² - 8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The standard form of the equation of a parabola is,

⇒ x = y² + 6y + 1.

Now, We can simplify as;

⇒ x = y² + 6y + 1

⇒ x = y² + 6y + 9 - 9 + 1

⇒ x = (y + 3)² - 8

Thus, The vertex form of the equation of a parabola is,

⇒ x = (y + 3)² - 8

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5


Related Questions

what are the coordinates of the circumcenter of ABC

Answers

Answer:

4,3 8,2

Step-by-step explanation:

Find the area (in square feet) of a trapezoid with height h and bases b_1 and b_2. h = 6 in b_1 = 9 in b_2 = 12 in The area is _ square feet

Answers

Answer:

Area of the trapezoid = 90 square feet

Step-by-step explanation:

Area of a trapezoid with bases b₁, b₂ and height h is given by the formula,

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

By substituting the given values in the formula,

                   Area = [tex]\frac{1}{2}(6+9)12[/tex]

                            = [tex]\frac{180}{2}[/tex]

                            = 90 square feet

Therefore, area of the trapezoid = 90 square feet

Jorge is making 6 large salads and 4 small salads. How many cherry tomatoes does he need?

Answers

Answer:

we need an amount of cherry tomatoes per each salad so we can answer.

Step-by-step explanation:

Just name the amount of tomatoes there are in each salad.

Answer:the large one needs 10 and the small one needs 6 so if you get this right can you pick me as the brainliest

Step-by-step explanation:

We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes

Can anybody help gosh

Answers

The answer to the first one is m<1 = 97°
m<2 = 88°
m<3= 45°
m<4 = 114°
m<5 = 97°
m<6 = 88°
m<7= 114°
m<8=45°
m<10=88°
m<11= 45°
m<13= 88°
m<14= 97°
m<15=97°
m<16= 88°

George is reading a book.On Monday he read 1/3 of the book. On Tuesday he reads three-tenths of the remaining pages. He has 35 pages left to read. How many pages are in the book

Answers

Answer:

Step-by-step explanation:

m=p/3

t=(3/10)(1-1/3)

t=(3/10)(2/3)=p/5

p-p/3-p/5=35

(15p-5p-3p)/15=35

7p/15=35

7p=525

p=75

So the book has 75 pages.

sin 75°(cot 75° + cot 60°)

help me simplify this​

Answers

(square root of 6)/ 3

c + 5 = 8
all explanations

Answers

Answer:

Step-by-step explanation:

c+5=8

Subtract 5 from both sides.

c=8−5

Subtract 5 from 8 to get 3.

c=3

hope it helps :)

Answer:

3

Step-by-step explanation:

8-5=3

Warm-Up
Active
Applying the Distance Formula
Warm-Up
y
Find the length of DE using the distance formula.
d = V(x2 – xz)2+(12-W?
4
The length of DE is
units.
3
D(-4,2)
2.
-5 -4 -8 -2
2 3 4 5
E(4, -4)

Answers

Answer:

using the formula

we replace the coordinates

the we calculate

the answer will be square 100 which will give us 10

What are the measurements of angle 1 and angle 2

Answers

Angle 1 is 60 degree
Angle 2 is 120 degrees

Mindy and Troy combined ate 999 pieces of the wedding cake. Mindy ate 333 pieces of cake and Troy had 1/4 of the total cake. ​ Write an equation to determine how many pieces of cake (c) there were in total.

Answers

Answer:

Step-by-step explanation:

333+p/4=999

p/4=666

p=2664

Pls help me find the area in this pic!

Answers

105 squared meters is the answer.

please help i need answers now

Answers

Answer:

D

Step-by-step explanation:

Is the following equation Linear, Non-linear, or neither
5x +2(x3 - 9) = 132 + 8x?

Answers

Answer:

x = 50

Step-by-step explanation:

5x + 2(3x - 9) = 132 + 8x

5x + 6x - 18 = 132 + 8x

11x - 18 = 132 + 8x

11x - 18 = 8x + 132

11x - 18 + 18 = 8x + 132 + 18

11x = 8x + 150

11x - 8x = 8x - 8x + 150

3x = 150

3x ÷ 3 = 150 ÷ 3

x = 50

please help it’s urgent

Answers

Answer:

1) 12/18

2) 15/25

3) 32/40

4) 6/14

5)  8/15

6) 16/24

7. 12/27

Step-by-step explanation:

Max picked out an old Star Wars puzzle to put together. Out of the 75 pieces, he was missing 3.
What percentage of the pieces was he missing?

After a cab ride, Jacob’s total fare was $45. He paid the cab driver a 15% tip. How much was the tip?

Joey’s mom baked (30) cookies. That night, there were 21 cookies left. What percentage of the cookies were eaten?

Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip? (If you get stuck, draw a tape diagram)


Marco bought a doll for his little sister. The price on the tag was $25, but it was on sale for 80% off. How much did Marco pay for the doll?


SHOW WORK ONE ALL PLZ HELP

Answers

Answer:

Step-by-step explanation:

100(3/75)=4%

$45(15/100)=$6.75

100(30-21)/30=30%

(70/100)t=35

t=3500/70

t=50 miles

c=$25(1-80/100)

c=$25(20/100)

c=$5

En un examen de matemáticas por cada respuesta correcta se suman 7 puntos, y por cada incorrecta se pierden 9, si el examen tiene 10 preguntas, y se obtuvo una calificación de 6 puntos, ¿Cuántas preguntas correctas e incorrectas se obtuvieron? *

Answers

Answer:

tuvo 6 preguntas correcta y 4 incorrectoas

Answer:

fjy jktdkhtdljrludli6fhf.

6itykcj,ydj,y

Step-by-step explanation:

ujf

Please help i’m not sure what to do and how to do a certain step ....

Answers

Step-by-step explanation:

The perimeter of Ms.Burner garden will be 3 times greater than Mrs.Kesler garden.The area of Ms.Burner garden will be larger than Mrs.Kelser garden.

mii need halp
im givin brainliest dis time

Answers

Answer:

x = 35 , y = 72.5

Step-by-step explanation:

(a)

x and 35° are vertical angles and are congruent, then

x = 35

(b)

y. y and 35 lie on a straight line and sum to 180°, that is

y + y + 35 = 180

2y + 35 = 180 ( subtract 35 from both sides )

2y = 145 ( divide both sides by 2 )

y = 72.5

Answer:

y = 72.5 degrees

X = 35 degrees

Step-by-step explanation: A straight line is 180 degrees. The line with the two y degrees and the 35 degrees is a straight line, which is = 180 degrees. Because the y degrees are the same variable (y) they are equal degrees. All you need to do to find y is 180-35 =145. Divide that by 2 to find both y’s. 145 / 2 = 72.5. You can do the same for x, or realize that x and 35 are alternate interior angles, meaning they are the same measure: 35 degrees.

The measure of two consecutive angles of a parallelogram are in the ration of 7:5. What is the measure of the obtuse angle of the parallelogram.​

Answers

Consecutive angles in a parallelogram are supplementary angles which when added together equal 180 degrees.

The ratio is 7:5 so we would have:

7x + 5x = 180

Simplify:

12x = 180

Divide both sides by 12:

X = 15

So one angle is 7 x 15 = 105 degrees

The other angle is 5 x 15 = 75 degrees

An obtuse angle is an angle greater than 90 degrees.

The obtuse angle would be 105 degrees.

75% of the tickets sold at a school carnival were early-admission tickets. If the school sold 72 tickets in all, how many early-admission tickets did it sell?

Answers

Answer:

66 is the answer, hope that’s helped!

Cara has one bag of toys that weighs 2 pounds and another that weighs 48
ounces. How many ounces of toys does Cara have?

Answers

Answer:

80 ounces

Step-by-step explanation:

one pound is equal to 16 ounces.

If we convert both pounds to ounces, we get 32. Simply add 32 to 28 to get your answer.

List 2 possible solutions for the inequality x < 9.

Answers

Answer: Any number less than 9.

Step-by-step explanation: The inequality is x is less than 9, that’s what < means, so you can say x is 8, 7, 6, 6.9, etc, x is anything less than 9.

Find the percent of the number. 30% of 70 =
If you can please explain how you got the answer.

Answers

Answer:

21

Step-by-step explanation:

Percent is always 100.

Convert 30% to decimal divide by 100.

So do 70 x 0.3

21

Answer:

21

Step-by-step explanation:

If you are using a calculator, simply enter 30÷100×70 which will give you 21 as the answer.

PLEASE !!! HELP D: lord pls

Answers

Answer:

the answer is 4 have a nice day

It might be 4 I think

Help pllssssss will give 10 points!!

Answers

Answer:

Its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](a^b)^c=a^{bc}\\ \\ 5^3(c^5)^3(d^3)^3\\ \\ 125c^{15}d^9[/tex]

6⋅10 −2 6, dot, 10, start superscript, minus, 2, end superscript is how many times as large as 2 ⋅ 1 0 − 8 2⋅10 −8 2, dot, 10, start superscript, minus, 8, end superscript?

Answers

Answer:

6⋅10^ −2 is 3* 10^6 greater than 2 ⋅ 10^− 8

Step-by-step explanation:

Given the following expression

6⋅10^ −2 and 2 ⋅ 10^− 8

Taking their ratio

k = 6⋅10^ −2/2 ⋅ 10^− 8

k = 6/2 * 10^-2/10^-8

k = 3 * 10^{-2+8}

k = 3* 10^6

Hence 6⋅10^ −2 is 3* 10^6 greater than 2 ⋅ 10^− 8

Sasha's mom is ordering food trays for Sasha's elementary school graduation party. Banquet Brothers sells a tray with 48 servings for $60.00. Cookin' Catering sells a tray with 30 servings of pasta for $72.00. Which company has the better deal?

Answers

Answer:

Banquet brothers

Step-by-step explanation:

banquet brothers 48 servings cost 60 dollars making it

$1.25 per serving

cookin' catering 30 servings cost $72.00 making it

$2.40 per serving

$1.25 < 2.40

thus banquet brothers is the answer.

PLEASE MARK BRAINLIEST AND GIVE 5 STARS.

Identify the volume of the composite figure. Round to the nearest tenth.

Answers

Answer:

474.5 ft³

Step-by-step explanation:

volume of cube = l³ = 9³ = 729

volume of the cylinder = πr²h = π × 3² × 9 = 81π

subtracting,

729-81π = 474.5309951 ft³

Answer:

474.5 ft³

Step-by-step explanation:

What is the area ? To this ?

Answers

Answer:

9 square feet

Step-by-step explanation:

A = bh / 2

b = 3

h = 6

A = 6 * 3 / 2 = 9

Answer: I wanna say its either 2,304 or 18 square feet. I could be wrong but if I am I'm Sorry! Have A Nice Day!! <3

Someone help mee 18/3(5-2)

Answers

Answer:

18

Step-by-step explanation:

Hope this helps

Answer: 18

Step-by-step explanation: 18 would be your answer because if you do 5-2 you would get 3 and then you would do 18/3 which is 6 and 6 times 3 equals 18. If you need help when doing this use PEMDAS which stands for parentheses, exponents, multiplication, division, addition, and subtraction.

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