What is the axis of symmetry?

What Is The Axis Of Symmetry?

Answers

Answer 1

The axis of symmetry of the quadratic equation is [tex]x = \sqrt 6[/tex]

How to express the solution?

One of the root is given as:

[tex]x = -2 - \sqrt 6[/tex]

As a general rule, the solution to a quadratic equation is represented by:

[tex]x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

This means that the actual root of the given root is:

[tex]x = -2 \pm \sqrt 6[/tex]

So, the other root is:

[tex]x = -2 + \sqrt 6[/tex]

Subtract both roots and divide it by 2 to determine the axis of symmetry

[tex]x = \frac{|-2 - \sqrt 6 + 2 - \sqrt 6|}{2}[/tex]

Evaluate

[tex]x = \frac{|-2\sqrt 6|}{2}[/tex]

Remove the absolute sign

[tex]x = \frac{2\sqrt 6}{2}[/tex]

Divide

[tex]x = \sqrt 6[/tex]

Hence, the axis of symmetry of the equation is [tex]x = \sqrt 6[/tex]

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Related Questions

is this the right answer!! :)

Answers

Answer:

Option D). Quadrant V is the correct answer.

Step-by-step explanation:

Your answer is correct.

Hope this helps!

Quadrant V is not the name of any of the quadrants on the coordinate plane option (D) is correct.

What is an ordered double?

It is defined as a representation of coordinates in a two-dimensional

coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

As we know the ordered double can be represented on the coordinate plane.

The coordinate plane has four quadrants

The name of the quadrants are:

Quadrant IQuadrant IIQuadrant IIIQuadrant IV

Let (x, y), x > 0, y > 0 the point (x,y) will be on the Quadrant I

Let (x, y), x < 0, y > 0 the point (x,y) will be on the Quadrant II

Let (x, y), x < 0, y < 0 the point (x,y) will be on the Quadrant III

Let (x, y), x > 0, y < 0 the point (x,y) will be on the Quadrant IV

Thus, quadrant V is not the name of any of the quadrants on the coordinate plane option (D) is correct.

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WILL GIVE BRAINLIST TO BEST ANSWER
Determine whenever each statement about the scatter plot is true or false
Test scores tend to be higher when the number of minutes studies is higher

Answers

Answer:

T

Step-by-step explanation:

if you look only one with high study time got a lower score then the rest with high study time

2. Can vertical angles also be adjacent angles? Explain.​

Answers

Adjacent angles are also vertical angles.

express the following in standard form 178000000

Answers

Answer:

1.78 × 10^8

Hope it helps you...

The is calculated by putting the data in order and selecting the middle value. the is the data value that occurs the most in a set of data. the is the difference between the maximum and minimum values of a data set. the is the sum of the data divided by the number of data values.

Answers

Median is calculated by putting the data in order and selecting the middle value.

Mode is the data value that occurs the most in a set of data.

Range is the difference between the maximum and minimum values of a data set.

The mean is the sum of the data divided by the number of data values.

What is measure of central tendency?

The measure of central tendency is the central or typical value for a group of data. Common measures are mode, mean, median.

Median is calculated by putting the data in order and selecting the middle value.

Mode is the data value that occurs the most in a set of data.

Range is the difference between the maximum and minimum values of a data set.

The mean is the sum of the data divided by the number of data values.

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Answer:

B: median, C: mode, D: range, A: mode.4.4.427

Step-by-step explanation:

help how do i answer this ??

Answers

[tex]\bold{ANSWER:}[/tex]
332.5

[tex]\bold{SOLUTION:}[/tex]

. What tool can you use to improve your health?

A a social networking site with a healthy focus
B a cause (like improving the food at school cafeterias or inspiring others to get fit)
C MyPlate
D a health journal
E a club with a healthy focus (such as exercise or healthful cooking)
F an activities calendar
G all of these answers

Answers

Answer:

G. All of these answers

Step-by-step explanation:

It would be all of them because some have to do with exercise and the others have to do with a plan for dieting and exercising.

Does anybody know this? I have a lot do before tommorow and I don't have much time. Look at the pictures

Answers

Answer:

Answer = 9/5

Step-by-step explanation:

2 yards = 72 inches (one yard equals 36 inches) Simplify 72/40 in and you get 9/5.

Hope that helps!

Answer:

9/5

Step-by-step explanation:

2 yard = 6 feet

40 inches = 3 4/12 feet

_____________________

Reduce 3 4/12 to 10/3 by simplification, convert 6 to a fraction

6/1 ÷ 10/3

Flip the 10/3 to multiply

6 × 3

1 × 10

= 18/10

Simplify 18/10 by dividing by 2

18 ÷ 2

10 ÷ 2

= 9/5

3) How many cubic feet of water can the
following in-ground swimming pool hold?

Answers

Answer:

42

Step-by-step

you have to add all hopes this helps

Eliza reads 1/7 of her book on Monday. On Tuesday and Wednesday combined, she reads three times as much as she reads on Monday. The expression 1/7r + 3(1/7r) can be used to determine the number of pages Eliza reads on Monday, Tuesday, and Wednesday combined. The variable r represents the total number of pages in the book.​

Answers

Answer:

city breaking down on the camel's back

Step-by-step explanation:

you perform 7 sit-ups for every 2 pull- ups as part of an exercise routine. you perform 25 more sit-ups than pull-ups.How many sit-ups and how many pull-ups do you perform

Answers

35 sit ups and 10 pull ups

Figure I and Figure II are similar figures,
Figure I
Figure II
Which proportion must be true?
RS TU

Answers

The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,

[tex]\frac{ST}{EF}=\frac{WR}{CD}[/tex]

Thus the option H is the correct option.

To find the correct proportion we need to know about the properties of slimier polygon.

What are the properties of similar polygon?

Two polygons are said to be similar or congruent pentagon-

The corresponding angle of two pentagons are congruent.

The ratio of corresponding sides is same for all the sides.

The figure given in the problem of similar two polygons with six sides.

Rearrange the second figure as shown in figure.

As for the similar polygons, the ratio of corresponding sides is same for all the sides.

Thus the sides shown in the two rearranged figure must be same. Therefore,

[tex]\frac{ST}{EF}=\frac{WR}{CD}[/tex]

Hence the correct proportion is,

[tex]\frac{ST}{EF}=\frac{WR}{CD}[/tex]

Thus the option H is the correct option.

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Explain how you can graph points on a coordinate plane to create geometric figures such as squares, triangles, rectangles, and parallelograms.


(will give brainliest to the best answer)

Answers

Answer:

You can create geometric shapes on a coordinate plane by graphing points because when you place two points it creates a line segment and you can use the line segments to create geometric figures.

Step-by-step explanation:

I explained in the answer. I am just putting something here so my answer doesn't get deleted.

A figure can be graphed on a coordinate plane as a set of points located on specific places, specified by  their coordinates.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, It is the perpendicular distance of that point from the horizontal axis and vertical axis, usually named x-axis and y-axis.

The location is then written as:

⇒ (a, b),

where 'a' is that point's shortest distance from the y-axis and called x-coordinate of that point, and 'b' is that point's shortest distance from the x-axis, and called y-coordinate of that point.

On an infinite 2d plane, any 2-dimensional figure can be drawn.

Any figure, when drawn, the points constituting that figure can be specified using coordinates.

Thus, that figure can be graphed on a coordinate plane as a set of points located on specific places, specified by  their coordinates.

Thus, a figure can be graphed on a coordinate plane as a set of points located on specific places, specified by  their coordinates.

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A bookshelf has 6 shelves of books. Each shelf can hold 26 books. How many books can the bookshelf hold all together?

Answers

Answer: 156

Step-by-step explanation:

6 x 26

A bookshelf has 6 shelves, and each can hold 26 books

So, the entire bookself can hold 26 + 26 + 26 + 26 + 26 + 26, or 26 x 6 = 156 (books)

SOLVE THE LINEAR EQUATION
0.5(0.2-x)+0.2(5x+3)=6



PLEASE HELP!​

Answers

Step-by-step explanation:

0.1 - 0.5x + x + 0.6 =6

0.7 + 0.5x = 6

0.5x = 6 - 0.7

x=5.3/0.5

x=10.6 Answer

Hope this helps you

Have a good day.

Determine the graph of the polar equation r = 10/4-sin theta

Answer: C

Answers

The Graph of [tex]r=\frac{10}{4}-\sin\ \theta[/tex] is shown below:

What is Graph?

The graphs of trigonometric functions have the domain value of θ represented on the horizontal x-axis and the range value represented along the vertical y-axis.

Since , the function is in polar coordinates.

We know, r = a sin θ is a circle, where “a” is the diameter of the circle

This means, r = 10/4- sin θ is a circle that has edge.

In the graph it is shown that a circle has bottom-most edge.

The Graph of  [tex]r=\frac{10}{4}-\sin\ \theta[/tex] is

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Roberto y Mónica tienen, entre los dos, $ 350.
La media de lo que tiene Roberto más lo de
Mónica es $ 225. ¿Qué cantidad de dinero
tiene cada uno?

Answers

Usando un sistema de ecuaciones, hay que Roberto tiene $250 y Monica tiene $100.

¿Qué es un sistema de ecuaciones?

Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.

En este problema, las variables són:

Variable x: Cantidad de Roberto.Variable y: Cantidad de Monica.

Roberto y Mónica tienen, entre los dos, $ 350, por eso:

x + y = 350 -> y = 350 - x

La media de lo que tiene Roberto más lo de Mónica es $ 225, por eso.

0.5x + y = 225

0.5x + 350 - x = 225

0.5x = 125

x = 250

y = 350 - x = 100

Roberto tiene $250 y Monica tiene $100.

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I need help I am confused

Answers

Answer:

in 25 weeks the stalk grew to 4 inches - false

the stalk grew to a height of 25 inches in 4 weeks - true

each bag can hold 25 cornstalks - cannot be determined

the stalk grew at a rate of 6.25 inches each week - true (25/4 = 6.25)

the quotient 25/4 equals the growth rate of the stalks each week - true

Divide. Give the quotient and the remainder.
437/7

Answers

the quotient is 62 and the remaining number is 3

A survey was given to adult residents in a particular city. It found that 22% of the residents regularly use public transportation, and 85% of the residents have the ability to drive. 14% of the residents regularly use public transportation AND have the ability to drive. Find the probability that an adult resident in this city regularly uses public transportation, given that he or she has the ability to drive. Round to the nearest hundredth.

Answers

The probability that an adult resident in this city regularly uses public transportation, given that he or she has the ability to drive will be 93%.

What is the addition rule of size for two subsets?

For two subsets A and B of the universal set U, we have:

[tex]\rm n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

A survey was given to adult residents in a particular city.

It found that 22% of the residents regularly use public transportation, and 85% of the residents have the ability to drive.

14% of the residents regularly use public transportation AND have the ability to drive.

Let P(A) be the probability of the adults that uses public transportation regularly and P(B) be the probability of the adults that has the ability to derive.

Then the probability that an adult resident in this city regularly uses public transportation, given that he or she has the ability to drive will be

n(A) = 0.22

n(B) = 0.80

n(A∪B) = 0.14

Then we have

[tex]n(A \cap B) = 0.22 + 0.85 - 0.14\\\\n(A \cap B) = 0.93\\\\n(A \cap B) = 93\%[/tex]

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What is the area in square units of the rectangle 3/4 and 2/5?

Answers

Answer:

3/10 units^2

Step-by-step explanation:

A = l×b

=3/4 × 2/5

=3/10 units^2

A diagram showing a neighborhood park is plotted on the coordinate plane. Each unit on the coordinate plane represents 1 yard. Find the PERIMETER and the AREA.

Answers

Answer:

Step-by-step explanation

The length of the left sloping line

= √ (5^2 + 7^2) = √74.

The right sloping line

= √(5^2 + 5^2) = √50.

So the perimeter:

= √74 + √50 + 2 + 2 * 4 + 14

= 39.67 to nearest hundreth.

Area = 1/2 * 5 * 7 + 2*5 + 1/2 * 5 * 5 + 4*14

= 96.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

c. g

hope it helps simple question bro

Answer:

The answer is g

Step-by-step explanation:

if you count starting from zero all the way up to 3 2/3 you will land on the letter g. therefore the answer is g

Cameron lives in Charleston, South Carolina. In his research, he found that the population was 10,050 in year 2000 and in 2007, the population was 23,000. What is the predicted population for 2014?

Answers

Answer:

The current population of Charleston, South Carolina is 141,931 based on our projections of the latest US Census estimates. The US Census estimates the 2018

Step-by-step explanation:

Sawyer conducted an experiment in which he rolled a number cube 50 times. He rolled the number 3 a total of seven times. Based on these results, what is the probability that he will not roll a 3 on his next roll?

Answers

If the number of trials is 50. Then the probability that he will not roll a 3 on his next roll will be 0.20 or 20 %.

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

 

The probability that out of n trials, there'd be x successes is given by

P(X = x) = ⁿCₓ pˣ (1 - p)ⁿ ⁻ ˣ

Sawyer conducted an experiment in which he rolled a number cube 50 times. He rolled the number 3 a total of seven times.

Then the probability that he will not roll a 3 on his next roll will be

p = 1/6 = 0.1667

q = 1 - p = 1 - 1/6 = 0.8333

Then the probability will be

P = ⁵⁰C₇ (0.8333)⁴¹ (0.1667)⁷

P = 0.20

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4 pencils and 3 crayons are 20.7 inches. 5 pencils and 4 crayons are 26.4 inches. Each pencil is the same length as the other pencils, and each crayon is the same length as the other crayons. What is the length of 1 pencil? What is the length of 1 crayon?

Answers

Call the pencils x, the crayons y.

4x + 3y = 20.7 inches -> 16x + 12y = 82.8 inches.

5x + 4y = 26.4 inches -> 15x + 12y = 79.2 inches.

We minus the top one from the bottom -> x = 82.8 - 79.2 = 3.6 inches

Replace back : 4 x 3.6 + 3y = 20.7
14.4 + 3y = 20.7
3y = 6.3
y = 2.1

So, the length of 1 pencil is 3.6 inches, the length of 1 crayon is 2.1 inches
Recheck : 4 pencils and 3 crayons = 3.6 x 4 + 2.1 x 3 = 14.4 + 6.3 = 20.7
5 pencils and 4 crayons = 3.6 x 5 + 2.1 x 4 = 18 + 8.4 = 26.4

I NEED HELP! ASAP, THIS IS SO HARD AND MY BRAIN HURTS, IF U HELP ME WITH OTHER QUESTIONS LIKE THIS ILL GIVE U 50+ POINTS

Answers

Answer:

Step-by-step explanation:

she should have multiplied before dividing

9/3 + 6 x 2 =

3 + 12 =

15


Charlotte invested $33,000 in an account paying an interest rate of 7 3/4% compounded continuously. Alyssa invested $33,000 in an account
paying an interest rate of 7 1/4% compounded daily. After 19 years, how
much more money would Charlotte have in her account than Alyssa, to
the nearest dollar?

Answers

The amount of money more in the account of Charlotte after 19 years than the money in account of Alyssa is, $13035.13

How to calculate the compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Charlotte invested $33,000 in an account paying an interest rate of 7 3/4% compounded continuously for 19 years. The rate of interest is,

[tex]r=7\dfrac{3}{4}\\r=\dfrac{31}{4}\\r=7.75[/tex]

Thus, the final amount in his account after 19 years is,

[tex]A=33000\times\left(1+\dfrac{7.75}{360\times100}\right)^{360(19)}\\A=143861.22[/tex]

Alyssa invested $33,000 in an account paying an interest rate of 7 1/4% compounded daily. The rate of interest is,

[tex]r=7\dfrac{1}{4}\\r=\dfrac{29}{4}\\r=7.25[/tex]

Thus, the final amount in her account after 19 years is,

[tex]A=33000\times\left(1+\dfrac{7.75}{360\times100}\right)^{360(19)}\\A=130826.09[/tex]

The more money would Charlotte have in her account than Alyssa is,

[tex]D=143861.22-130826.09\\D=13035.13[/tex]

Thus, the amount of money more in the account of Charlotte after 19 years than the money in account of Alyssa is, $13035.13

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Janelys needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 5.75 hours and charged her $168 for parts. The total was $426.75. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answers

Answer: x = 45

Step-by-step explanation:

The equation is 5.75 x + 168 = 426.75 and cost of the labor per hour is 45.

It is required to find the value of x.

What is algebra?

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

The expression is

5.75 x + 168 = 426.75,

where 5.75x represents the cost of labor per hour, 168 is the cost of the parts, and 426.75 is the total.

According to given question we have,

5.75 x + 168 = 426.75,

Substract 168 from both sides we get,

5.75 x + 168-168 = 426.75-168

5.75x = 258.75

x = 45

Therefore, the equation is 5.75 x + 168 = 426.75 and cost of the labor per hour is 45.

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PLEASEEEEEEEE HELPPPPPPPPPPPPP

Answers

Answer

My guess is 270

Step-by-step explanation:

The total number of degrees in a circle is 360. We already know the measure of arc AC is 90. All we have to do is to subtract 90 from 260 to get the answer of 270. (This is what I think)

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