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

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

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

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

what are the coordinates of the circumcenter of ABC

Answers

Answer:

4,3 8,2

Step-by-step explanation:

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°

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

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.

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]

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.

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

please help i need answers now

Answers

Answer:

D

Step-by-step explanation:

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.

sin 75°(cot 75° + cot 60°)

help me simplify this​

Answers

(square root of 6)/ 3

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

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.

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:

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.

Pls help me find the area in this pic!

Answers

105 squared meters is the answer.

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

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.

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:

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

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.

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.

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.

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!

PLEASE !!! HELP D: lord pls

Answers

Answer:

the answer is 4 have a nice day

It might be 4 I think

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

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