The graph of the equation y=x²-2x-8 is a parabola. What is the equation of the axis of symmetry?

Answers

Answer 1

Answer:

x=1

Step-by-step explanation:

y=x²-2x-8

First, we solve for the vertex

The equation for the vertex is -b/2a

Substitution:

-b/2a

=-(-2)/(2*1)

=2/2

=1

Therefore the equation for the line of symmetry is x=1

Hope this helps!


Related Questions

State the reason why: ML is parallel to NK.

Given:

KLMN is a parallelogram

Answers

In a parallelogram opposite sides are parallel to eachother. ML is on the opposite side of NK so they are parallel
They are parallel because in a parallelogram opposite sides are parallel and the lines ML and NK never intersects

Find the area of the composite figure.

69 square feet
48 square feet
70 square feet
82 square feet

Answers

Answer:

69ft² (69 square feet)

Step-by-step explanation:

8x7=56ft

6x2=12ft

2x1÷2=1ft

56+12+1=69ft²

Answer:

Option A, 69 square feet

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

[tex]A = l * w[/tex]

[tex]A = 7\ ft * 8\ ft[/tex]

[tex]A = 56\ ft^2[/tex]

Step 2:  Determine the area of the second rectangle

[tex]A = l * w[/tex]

[tex]A = 6\ ft * 2\ ft[/tex]

[tex]A = 12\ ft^2[/tex]

Step 3:  Determine the area of the triangle

[tex]A = \frac{h * b}{2}[/tex]

[tex]A = \frac{(7\ ft - 6\ ft)*2\ ft}{2}[/tex]

[tex]A = \frac{1\ ft * 2\ ft}{2}[/tex]

[tex]A = \frac{2\ ft^2}{2}[/tex]

[tex]A = 1\ ft^2[/tex]

Step 4:  Determine the total area

[tex]A_{total} = 56\ ft^2 + 12\ ft^2 + 1\ ft^2[/tex]

[tex]A_{total}=69\ ft^2[/tex]

Answer:  Option A, 69 square feet

SOMEONE PLS HELP :( I WILL CHOOSE BRAINLIEST!!!

Answers

Answer:

x -3y = - 3

Step-by-step explanation:

Slope of line m = (0 -1 )/(-3 - 0) = 1/3

y - intercept b = 1

Equation of line in slope-intercept form is given as:

y = mx + b

Plugging m = 1/3 and b = 1 in the above equation, we find:

y = 1/3 x + 1

-> 3y = x + 3

-> x -3y = - 3

This is the required equation of line.

can someone help me plsease

Answers

Answer:

I'M GOING FROM LEFT TO RIGHT

1. C

2.B

3.D

4. C?

the triangle un-equality theorum states that two side lengths added has to be greater than the third.

Step-by-step explanation:

Answer: I think the sides that can create a triangle is ththe third option

Step-by-step explanation: the sides are different lengths so it can create a scalscalene triangle. Sorry I don't know the others

3. Deedra leaves her home and travels 4 miles east to the grocery store. She then travels 7 miles to the north and stops to pick up pizza. How many miles will she travel to return home, if she takes the most direct route? (Round to the nearest tenth.)

Answers

8.06 miles

hope it helps...!!!

Janna's health class measures the heart rates of student after they walked for five minutes. The heart rates, in per minute, were {102, 74, 86, 74, 96, 95, 103, 102}, Find mean of the data set. What does the mean tell you?

Answers

Answer:

1,4

Step-by-step explanation:

Isabella makes $15.35 an hour at her company. Skyler, who works at the same company, earns $18.35 an hour. His hourly wage increases by $0.25 each year. How many years ago did Skyler start working at this company if his starting pay was the same as what Isabella makes now? Show your work or explain your reasoning.

Answers

Answer-the answer is 3 years

Step-by-step explanation:So what I did is subtract skylers wage by isabellas wage(18.35-15.35=3)and I go 3 so he has been working 3 years at this job

12 years, if you subtract the wages you’ll get a 3 dollar difference. Then you divide 3 by 0.25 to get 12

How many significant digits are in the product 6070 times 0.001?

Answers

Answer:

I don't know if my answers are showing but its 3

Step-by-step explanation:

I believe the answer is three

WILL CHOOSE BRAINLIEST!!! A is (2,2). A' is (-1,-1). Which sequence of transformations best describes this transformation?
A. Reflection across the x-axis, dilation using k-1/2
B. Rotation 80°, dilation using k=1/2

Answers

Answer:

A

Step-by-step explanation:

The answer is A. Hope this helps :)

A bakery made 9 cakes using 3 bags of flour. The bakery uses the same relationship
between cakes made and the amount of flour used to make all of their cakes. Which table of values shows the relationship between the number of cakes the bakery makes to the number of bags of flour the bakery uses?

Answers

Answer:

3/1 or 3:1 when simplified

so first number is three times larger then second number

Solve the linear system
x+y=5
x-2y=-1

Find the ratio of the solution's y-coordinate to its x-coordinate.

Answers

Answer:

2:3

Step-by-step explanation:

x + y = 5      ----->      y = 5 - x

x - 2y = -1

x - 2(5 - x) = -1

x - 10 + 2x = -1

3x - 10 = -1

3x = 9

x = 3

(3) + y = 5

y = 2

Solution to this system: (3,2)

Ratio of y to x = 2:3

Hope this helps!

QUICK I NEED THE CORRECT ANSWERS | 100 POINTS + BRAINLIEST FOR QUICKEST ANSWER

Answers

1. 6 feet long
2. The border increases the length of each side by 1 foot
3. The width of the border is 6 inches (0.5 feet) because it adds on 1 foot in length to each side. Splitting it between the 2 borders for each side would make it 6 inches.

Answer:

1.  6 ft

2. 1 ft

3. 1/2 ft

Step-by-step explanation:

We know that the quilt is the shape of a square, since we are told that the main design has the same length sides of 5 ft.

Area of a square = s² (where s is the side length)

If the finished quilt has an area of 36 ft² then the length of one side is:

⇒ s = √(36) = 6 ft

Side length of main design = 5 ft

Side length of finished quilt = 6 ft

6 - 5 = 1 ft

Therefore, the border increased the total length of each side by 1 ft

As the border goes around the whole quilt, this means that the extra 1 ft needs to be divided by 2, so that each side has an equal amount added.

Therefore, the width of the border is 1/2 ft

**see attached diagram.  Main design is shown in blue, border is shown in green**

An aircraft land at a velocity of 300 km hr, and slows down at a rate of −1200 km. hr2. After how many minutes before the aircraft stops?

Answers

Answer:

Step-by-step explanation:

Okay, 300-(-1,200) =(-900) then 120-(-780) my bad my friend gave you another problem here that is all is that good T_T

Its simple algebra −k+3k

Answers

Answer:

2k is the right answer

Create an equation where x represents the number of weeks and y represents the number of dog walks.
Week 1 - 4 walks
Week 2- 8 walks
Week 3 - 8 walks
Week 4 - 10 walks
Week 5 - 13 walks
Week 6 - 13 walks
Week 7 - 13 walks
Week 8 - 17 walks
Week 9 - 16 walks
Week 10 - 17 walks.

Answers

Answer:

y=2.5x i think..

Step-by-step explanation:

The ratio x : 8 is equivalent to the ratio 8 : x^2. What is the value of x?

Answers

Answer:

x=1

Step-by-step explanation:

x=4

4:8 is equivalent to 8:16, both being simplified to 1:2

The Perez family bought4 crates of eggs last week. Each crate had 18 eggs. Since then, they have eaten 26 of the eggs. How many eggs are left?

Answers

Answer:

There are 46 eggs left

Step-by-step explanation:

18 x 4 = 72 - 26 = 46

Answer:

46

Step-by-step explanation:

so what you need to do is 18 times 4 crates then they eaten 26 so its 18 times 4 - 26 welcome

Patrice says that she can find the length of the diagonal, c, of the rectangular prism by using the Pythagorean theorem twice.


Drag equations and pictures into the table below to show her work.

Answers

Answer:

  see attached

Step-by-step explanation:

The first application of the Pythagorean theorem is used to find the diagonal of one face. That is called 'a' in this problem. Then the second application of the Pythagorean theorem uses that value of 'a' along with the remaining prism dimension to find the space diagonal 'c'.

6² +8² = a²12² +a² = c²

__

You don't actually have to find 'a', because you only need the value of a². Using the first equation to substitute into the second equation gives ...

  6² +8² +12² = c²

Y=3x+1 use the y=Mx+b formula

The ratio 1331 : x is equivalent to the ratio [tex]x^{2} : 1331[/tex]. what is the value of x?

Answers

Answer:

121

Step-by-step explanation:

Set up the equation 1331/x=x^2/1331

Cross multiply and simplify the answer.

Answer ASAP! but only if you know 100%, and whoever gets it right can have brainliest
use 3.14 for pi!

Answers

Answer:

Circumference: 153.86

Area: 43.96

Step-by-step explanation:

Circumference: 2(3.14)r

Area: 3.14(r^2)

Lets find the Circumference first :)

2(3.14)7

(6.28)7

43.96

Now lets find the area!

3.14(7^2)

3.14(49)

153.86

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

[tex]beinggreat78~here~to~help.[/tex]

Circumference: 44(round to nearest 10)

Area: 154(round to nearest ten)

To do this problem, let's start with circumference, because we must know that before finding area.

[tex]C=2\pi r=2*\pi *7~rounds~to~43.9823[/tex]

Next, find the area by using the circumference. This time, we will use the exact numbers.

[tex]A=\pi r2\\C=2\pi r[/tex]

Now, solve for area.

[tex]A=\frac{ C^2}{4\pi }=\frac{43.98^2}{4 * \pi } ~rounds~to~153.93806[/tex]

With that information, the problem has been solved.

Samantha has 42 coins consisting of quarters and nickels, which total $5.70. How many of each does she have?

Answers

Answer- 22 quarters and 4 nickels

Step-by-step explanation: their is a lot of ways to go about this this is just the way I splited this up;)

What is the value of x for the following equation?

Answers

Working with fractions can be tricky, so I like to start by multiplying everything by the LCM of the denominators of the fractions.

In this case, both fractions have a denominator of 4, which means that the LCM is 4 and we will be multiplying everything by 4.

1/4x - 1 = 3/4x - 5

---The below equation looks much more familiar and appears easier to solve.

1x - 4 = 3x - 20

-4 = 2x - 20

16 = 2x

x = 8

Answer: C, x = 8

Hope this helps!

Find the slope of the points: (-5,10)(-3,0)(0,1)(4,-4)

Answers

Answer:

The slope of (-5,10)(-3,0) is -5

The slope of (0,1)(4,-4) is -5/4

Step-by-step explanation:

The slope-intercept form is y=mx+b

In order to find slope, do y2-y2/x2-x1

x and y are the coordinates and then you just plug them in

answer all of the questions with number 7 they go together 7-10 please answer the sceen shot

Answers

Answer:

Step-by-step explanation:

7: slope 4/3 , y intercept 0,0

8: 1

9: 0,5

10: slope 1, y intercept 0,-2

Cassidy is going to the county fair with her friends but can only stay at the fair for 3 hours. The fair offers two different pricing structures. Cassidy can purchase an all-day pass with unlimited rides for $45.00 or she can pay an admission fee of $9.00 and pay $4.00 for each ride. If Cassidy rides 12 rides, how much does she save by buying the all-day pass?

A. $12.00
B. $21.00
C. $They both cost the same
D. $51.00

Answers

Answer:

Option A.

Step-by-step explanation:

The all- day pass is just $45.

For the other pass, we need to do 4 x 12 + 9.

4 x 12 + 9

48 + 9

57.

57 - 45 is 12.

A because it is the right answer

Members of a soccer team raised $1428 to go to a tournament. They rented a bus for $955.50 and budgeted $31.50 per player for meals. Write and solve an equation which can be used to determine p, the number of players the team can bring to the tournament.

Equation:
Answer: p =

Answers

Answer:

16 players can be brought to the tournament. The equation is written within my step-by-step explanation.

Step-by-step explanation:

Variable p = number of players

Set up an equation:

974.50 + 60.75p = 1946.50

Isolate variable p:

60.75p = 972

Divide:

p = 16

Check your work:

974.50 + 60.75(16) = 1946.50

974.50 + 972 = 1946.50

1946.50 = 1946.50

Help plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

4) 0.425, 17/40, 42.5%
5) 0.875, 7/8, 87.5%

Step-by-step explanation:

4) 17/40= 0.425, 17/40 is simplified to the lowest form already, and (0.425x100)x 1/100

5) 35/40=0.875, 35/40=7/8, and (0.875 * 100) * 1/100= 87.5%


i hope htis helps sorry if i got anything wrong

Use the form |x-b|<=c or |x-b|>=c to write an absolute value inequality that has the solution set -1<=x<=3.

Answers

An absolute value inequality that has a solution set -1<=x<=3 is |x-1| <= 2

What is the solution set for an inequality?

The set of values of the variable involved in the inequality for which the considered inequality holds true is called the solution set for that inequality.

We've to find an absolute value inequality that has the solution set

-1 <= x <= 3

1+2 = 3

and 1 - 2 = 3

Therefore, we can rewrite the considered inequality as:

1-2 <= x <1+2

Subtracting 1 from all the sides:

-2 <= x-1 <= 2

This is written as:

|x-1| <= 2 (it is because [tex]|x| \leq a \leftrightarrow-a \leq x \leq a[/tex] )

Thus, an absolute value inequality that has a solution set -1<=x<=3 is |x-1| <= 2

Learn more about absolute value inequality here:

https://brainly.com/question/14462628

So, ima be sending out a bunch of questions due to me wanting to keep a good grade in math so....cash in ..(Please help me with some math problems)

Answers

Answer:

questions 2 and 3 are correct number 7 is 40

Step-by-step explanation:

Need help its for 20 points whoever complete this for me I will give you a crown

Answers

Answer:

please give options.

Step-by-step explanation:

The number of inches is what ?

Ask your teacher about your homework
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Do number 5 pleaseee formal argument $5 or a lottery ticket. one paragraph The advantage of using a spreadsheet is:Group of answer choicesCalculations can be done automaticallyChanging data automatically updates calculations (as long as Excel is not set to calculate manually)More flexibilityAll of the above This is for 25 points please don't spam. WILL GIVE BRAINLIESTSelect the decimal that is equivalent to \dfrac{111}{250} 250111 start fraction, 111, divided by, 250, end fraction. Choose 1 answer:Choose 1 answer:(Choice A)A0. 3760. 3760, point, 376(Choice B)B0. 3\overline{76}0. 3 76 0, point, 3, start overline, 76, end overline(Choice C)C0. 4440. 4440, point, 444(Choice D)D0. \overline{444}0. 444y 0, point, start overline, 444, end overline(Choice E)ENone of the above Which statement is true about the ordered pair (1 , 7)? A. To plot the ordered pair (1 , 7), travel seven units to the right on the x-axis and one unit up on the y-axis, from the origin. B. To plot the ordered pair (1 , 7), travel one unit to the right on the y-axis and seven units up on the x-axis, from the origin. C. To plot the ordered pair (1 , 7), travel one unit to the right on the x-axis and seven units up on the y-axis, from the origin. D. To plot the ordered pair (1 , 7), travel seven unit to the right on the y-axis and one units up on the x-axis, from the origin. Does this sound right? People be asking for money from me like Im rich. ? What country formed from former Yugoslavia in your own words define nonviolent direct action m=3000km v=25m/s whats the momentum? Complete:If two or more elements or chemical compounds come into contact with one another and there is enough ________________present, a chemical change may take place.a. When a substance undergoes a chemical change, the chemical ______________of the substance is altered.b. A chemical change can also be called a chemical _______________. Citizenship often strikes a balance between rights and responsibilities give an example of a citizens rights and responsibilities How much pressure is created when you apply a 50.0N force on a syringe plunger that has a diameter of 0.4 Due to the high pressure of blood flowing through this vessel, aneurysms are commonly found in the ______. It took Azul 1.75 hours to bike The Blue Mountain TrailAzul averaged 12.5 miles per hour. What is the bestestimate for the length of the trail? H2S what species are present at 10-6 mol/L or greater when dissolved in water Find the value of each trigonometric ratio. Simplify Calculate the surface area. Be sure to show how the area of each face is calculated. Oxytocin secretion and milk release from the mammary glands of lactating female mammals are initiated by _____. Solve.18,923,612 - 9,089,689 A. 9,833,023 B. 9,833,923 C. 9,933,923 D. 27,613,301