complete the square to find the vertex of the parabola.

Complete The Square To Find The Vertex Of The Parabola.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]y^2+6y+8x+1=0\\\\y^2+2*3y+9+8x+1-9=0\\(y+3)^2+8x-8=0\\8x=-(y+3)^2+8\\\\x=-\dfrac{(y+3)^2}{8}+1 \\Vertex=(1,-3)[/tex]

Answer 2

The vertex is (1,-3).

To find the the vertex of the parabola.

What is parabola?

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side.,

Given that:

[tex]y^{2} +6y+8x+1=0\\\\y^{2} +2*3y+8x+1+9-9=0\\\\(y+3)^{2}+8x-8=0\\\\8x=-(y+3)^{2}+8\\\\x=-\frac{(y+3)^{2}}{8} +1\\\\vertex=(1,-3)\\[/tex]

So, the vertex is (1,-3).

Learn more about parabola here:

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Related Questions

The cost of a jacket increased from $50.00 to $59.00. What is the percentage increase of the cost of the jacket?

Answers

Answer- it increased 18%

Answer:

18%

Step-by-step explanation:

I know this because i am a smoot person  l o l. Hope this helps!

solve the following equations 6÷x=18​

Answers

[tex]\boxed{\underline{\bf \: ANS WER}}[/tex]

[tex] \sf \frac{6}{x} = 18 \\ [/tex]

Variable x cannot be equal to 0 as division by zero is not defined. Multiply both sides of the equation by x.

[tex] \sf \: 6=18x [/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex] \sf \: 18x=6 [/tex]

Divide both sides by 18.

[tex] \sf \: x=\frac{6}{18} \\ [/tex]

Reduce the fraction [tex] \sf\frac{6}{18}[/tex] to its lowest terms by extracting and cancelling out 6.

[tex] \sf \: x=\frac{1}{3} \\ [/tex]

[tex] \sf \: x=\frac{1}{3}\approx \boxed{\underline{0.33... }}\\ [/tex]

______

Hope it helps.

ᏒᎯᎨᏁᏰᎾᏯᏕᎯᏝᎿ2222

|2x+9|>10=5 Please help ASAP

Answers

Simplifying

2x + 9 + -10 = -5

Reorder the terms:

9 + -10 + 2x = -5

Combine like terms: 9 + -10 = -1

-1 + 2x = -5

Solving

-1 + 2x = -5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + 2x = -5 + 1

Combine like terms: -1 + 1 = 0

0 + 2x = -5 + 1

2x = -5 + 1

Combine like terms: -5 + 1 = -4

2x = -4

Divide each side by '2'.

x = -2

Simplifying

x = -2

I hope it helps you

Name the figure below in two different ways.

Answers

Answer:

Line segment. (That's what I know)

Step-by-step explanation:

There are two points on the ends, so its a line segment. I think thats it

It is a line segment called UH or HU
Both names should have a line above them (to indicate a line segment) but I am on a tablet.
An arrow or double arrow above the name would indicate a vector or line (respectively)

I need help on an assignment.

Answers

Answer:

i believe that answer would be D

Step-by-step explanation:

Need HElp Agian first person get brainlsit

Answers

A solution to a system of equations are where the two lines cross over each other.

System A the graph shows one line which means the two lines are on top of each other. This means any point on the lines are a solution so there are infinite number of solutions.

System B, the lines cross at one point is there is only one solution which is at (-3,2)

System C the two lines are parallel to each other and never cross so there are no solutions.

Step-by-step explanation:

(i) Infinite solution

If there is only one line then it is a infinite solution.

(ii) One solution

Both are intersecting each other.

Solving

-x - 1 = x + 5

-x - x = 5 + 1

-2x = 6

x = 6/-2

x = -3

y = -x + 5

y = -3 + 5

y = 2

(iii) No solution

Because they are parallel to each other

f(x) = x − 7 and g(x) = x2 find f(g(−1))

Answers

Answer:

g (-1) = (-1)² = 1

f(g(-1)) = f(1)

f(1) = 1 - 7 = -6

4.
For which discriminant is the graph possible?

A. b2 – 4ac = 0
B. b2 – 4ac = 6
C. b2 – 4ac = –2

Answers

Answer:

A. b2 – 4ac = 0

Step-by-step explanation:

Hey user☺☺

Option a is correct

Because the graph has only one solution.

As the graph touches the x-axis at one point that means that it will have only one solution for x. But we know that a quadratic equation has two solutions. So the graph will have two equal solution and therefore the discriminant will be 0.

Hope this will help☺☺

Chen rode his skateboard 3 3/4 miles in of 3/4 an hour. What was his average speed in miles per hour?

Answers

Answer:

5

Step-by-step explanation:

Dont ask why i think its 5 mph

It would be 1 1/4 miles per hour.

PLEASE HELP
Seven more than the quotient of a number and 5 is equal to 4.
Use the variable b for the unknown number.

Answers

Answer:

7 + b/5 = 4

OR

b/5 + 7 = 4

Step-by-step explanation:

also, b = -15

helppppppppppppppppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeee

Answers

Answer:

answer is D

Step-by-step explanation:

i promise good luck

Answer:

d

Step-by-step explanation:

change the fractions into improper fractions

then multiply nominators by nominators

then same for denominators

then simplify

Lauren bought snacks for her team's practice. She bought a bag of popcorn for $2.37 and a 6-pack of juice bottles. The total cost before tax was $15.45. How much was each bottle of juice?

Answers

Answer:

$2.18

$15.45-$2.37=$13.08

$13.08/6

$2.18

if x=1+3i ,y=x-i find the value of x^2-y^2​

Answers

Answer:

Step-by-step explanation:

x = 1 + 3i

x^2 = (1 + 3i)(1 + 3i)

f: 1 * 1 = 1o: 1 * 3i = 3ii:  3i * 1 = 31L: = 3i * 3i = 9i^2 = - 9

x^2 = 1 + 6i - 9 = -8 + 6i

By a similar method

y = (x - i)

y^2 = x^2 - 2i*x + i^2

y^2 = x^2 - 2ix - 1

y^2 = -8+6i - 2i(1 + 3i) -1

y^2 = -8+6i -2i - 6i - 1

y^2 = -8 - 2i - 1

y^2 = - 9 - 2i

x^2 - y^2 = -8 + 6i - (9 - 2i)

x^2 - y^2 = -8 + 6i - 9 + 2i

x^2 - y^2 = -17 + 8i

Determine which ordered pair is a solution to the following equation x+y=8

Answers

Answer:

(8,0)

and infinite number of ordered pairs make the equation

true 4,4 ... 5,3 ... 9,-1 ....

the solution can be said to be the loation where the graph crosses the x axis that point is (8,0)

Step-by-step explanation:

HELP HURRY I WILL GIVE BRAINLIEST
Is 1.304 rational or irrational?

Answers

Answer:

Rational numbers are those numbers that are integers and can be expressed in the form of x/y where both numerator and denominator are integers whereas irrational numbers are those numbers which cannot be expressed in a fraction. ... The denominator of a rational number is a natural number(a non-zero number).

Answer:

Rational

Step-by-step explanation:

A rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← where a and b are integers

Given

1.304

= 1 + [tex]\frac{304}{1000}[/tex]

= [tex]\frac{1304}{1000}[/tex] ← as a rational number

In Ellens Math class, there are 2 boys for every 3 girls. if there are 21 girls in the class, how many boys are in the classroom.

Answers

Answer:

14 boys

Step-by-step explanation:

Given,

There are 3 girls for every 2 boys

So,

For every 1 girl

[tex] = \frac{2}{3} \: boys [/tex]

Therefore,

For every 21 girls,

[tex] = \frac{2}{3} \times 21 \: boys[/tex]

= 14 boys (Ans)

Exercise 1

4x...X4 =

7 times

Answers

It’s 4 power 7 understand though the demonstration down :)
7
4
25x7 67/7 was a pink rabbit random answer

Write two equivalent expressions that represent the situation. What is the difference in their elevations?
An airplane flies at an altitude of 26,000 feet. A submarine dives to a depth of 700 feet below sea level.

Answers

The answer is 25000 hope this help you out!

What is the sum of all positive intergers from √8 to √42

Answers

√8 < √9 = 3

and

√42 > √36 = 6

which means the positive integers between √8 and √42 are 3, 4, 5, and 6, and their sum is 18.

algebra hcf
10xyz and 15y²z²​

Answers

Answer:

5yz

Step-by-step explanation:

1st expression=10xyz

=5*2*x*y*z

2nd expression=15(y)2 (z)2

=5*3*y*y*z*z

therefore H.C.F=5yz

underlines are taking common.

Evaluate the function: f(n)=3n-1 ; f(-1)= ?

Answers

Answer:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

Step-by-step explanation:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

what are congruent triangles?​

Answers

Triangles that have all sides and angles the same length or degree.

Please give brainliest

Answer:

triangles that have the same size and shape.


Evaluate 9ab, for a = 5 and b =
- 7

Answers

Answer:

-315

Step-by-step explanation:

Plug in 5 as a and -7 as b into the term:

9ab

9(5)(-7)

Multiply:

= -315

So, the answer is -315.

[tex]\huge\boxed{\textsf{Hey there!}}\\\\\\\huge\boxed{\mathsf{9ab}}\\\huge\boxed{\mathsf{= 9(5)(-7)}}\\\huge\boxed{\mathsf{= 45(-7)}}\\\huge\boxed{\mathsf{= -315}}\\\huge\boxed{\frak{Answer: -315}}\huge\checkmark\\\\\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Solve for x: 4x + 1/2 (2x + 4) > 12
( 9th grade Algebra 1)

Answers

Answer:

x > 2

Step-by-step explanation:

Distribute and cross-simplify 1/2 with parenthesis

4x + x + 2 > 12

Solve left side

5x + 2 > 12

Subtract 2 from both sides

5x > 10

Divide both sides by 5

x > 2

You have one box that is 1 4/11
feet tall and a second box that is 1.36 feet tall. Write the decimal expansion for
. If you stack the​ boxes, about how tall will the stack be?

Answers

The stacked boxes would be 2.72 feet tall

The height of the stacked box is the sum of the lengths of the two boxes

1 4/11 is a mixed number and it has to be converted to a decimal

A mixed number is a number that has a whole number and a proper fraction.

A proper fraction is a fraction is which the numerator is less than the denominator.

The whole number is 1 and the proper fraction is 4/11

To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number

4/11 = 0.36

1 + 0.36 = 1.36 feet

Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet

To learn more about decimals, please check:

https://brainly.com/question/18657762?referrer=searchResults

put in order , smallest to largest 0.13 ,0.7 , 0.6

Answers

Answer:

0.13, 0.6, 0.7

Step-by-step explanation:

Basically when comparing a decimal from least to greatest look at the tenths place. Whoever's is the smallest, is the smallest decimal. Then you look at the second smallest etc. If two tenths are the same then you would compare the hundredths place so on.

The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
6,2,2/3….
Find the 8th term.

Answers

Answer:

Just divide 2/3 by 3 (or multiply by 1/3), 6 times to get the answer.

9. Tobias ran 3 miles. How many millimeters did he run? (1 mile = 1,610 meters)

Answers

Welcome to Brainly! I'm happy to help!

We see that there are 1,610 meters in a mile. However, we are looking for millimeters, not meters. But, knowing the meters will help us out.

A millimeter is a very small measurement. There are 1,000 millimeters in 1 meter. A meter is much larger. So, if we want to convert 1,610 meters to millimeters, there are going to be way more millimeters because they are so minute.

This means that we will have to multiply. We know that there are 1,000 millimeters in 1 meter, so if we multiply our meters by 1,000 (which is basically just adding 3 zeros), we will get the number of millimeters in one mile!

1,610×1,000=1,610,000 (one million six hundred and ten thousand!)

Don't forget that we are looking for 3 miles though, so we can take the number of millimeters in one mile and multiply by three.

1,610,000×3=4,830,000 (four million eight hundred and thirty thousand!)

So, Tobias ran 4,830,000 millimeters!

Have a wonderful day and keep on learning! :D

Complete the pattern 13, 14, 16, 19, 23, ______.

Answers

Answer:

28

Step-by-step explanation:

it is increasing by 5 then 6,7,8,9...

Answer:

28

Step-by-step explanation:

In a sample of 600 college students, 87.2% said they graduated from high school. How many of the students graduated from high school?

Answers

Answer:

523.2 students

Step-by-step explanation:

87.2%×600=523.2 students

Answer:

523.2

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

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