Solve (x - 5)² = 3.
A. x-5± √√3
B. x = 8 and x = -2
C. x=-5± √√3
D. x=3 ± √√5

Answers

Answer 1

Answer:

A

Step-by-step explanation:


(x-5)^2 = 3

Take the square root of both sides

You are now left with: x-5 = sqrt(3)

Add 5 to both sides

x= 5 + or - sqrt(3)

Answer 2

Answer: A

Step-by-step explanation:

(x - 5)^2 = 3

take square root of both sides

(x - 5) = +-sqrt 3

you can remove the parentheses

x - 5 = +-sqrt 3

isolate the x variable

x = +-sqrt 3 + 5


Related Questions

Anthony went shopping for a new pair of sneakers. Sales tax where he lives is 4%. The price of the pair of sneakers is $37. Find the total price including tax. Round to the nearest cent

Answers

Answer:

$38.48

If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!

On a coordinate plane, a point is at (1, 2) and (5, 2). Find the distance between (1, 2) and (5, 2). The points lie in the same quadrant . The distance is .

Answers

Answer:

The points lie in

✔ the same quadrant

The distance is

✔ 4 units

Step-by-step explanation:

the same quadrant

4 units

The  distance between the two points (1, 2) and (5, 2) is 4 units. And both the points (1, 2) and (5, 2) lie in the same quadrant.

What is Distance between the two points?

Distance between two points is the length of the line segment that connects two given points.

Formula for the distance between two points

[tex]d = \sqrt{(x_{2}-x_{1} ^{2}) +(y_{2}-y_{1} ) ^{2} }[/tex]

According to the given question

We have

Two points

(1, 2) and (5, 2)

Let,

[tex](x_{1},y_{1}) = (1, 2)[/tex]

And, [tex](x_{2},y_{2} ) = (5,2)[/tex]

Therefore,

The distance between the points (1,2) and (5, 2)

= [tex]\sqrt{(5-1)^{2} +(2-2)^{2} }[/tex]

[tex]=\sqrt{(4)^{2}+0 }[/tex]

[tex]=4[/tex] unit.

Hence, the  distance between the two points (1, 2) and (5, 2) is 4 units.

Since, the x coordinate and y coordinate of both the points (1,2) and (5, 2) are positive. Therefore, they both lie in the first quadrant. Hence, the points lie in the same quadrant.

Learn more about distance between the two points here:

https://brainly.com/question/18296211

#SPJ2

Can someone please check my answer for this function???

Answers

Answer:

You're wrong, it's the bottom left

Step-by-step explanation:

x^2-49 is a difference of squares so it factors into (x+7)(x-7) which obviously cancels out with the denominator leaving x-7 left. This is the line you should graph, but keep in that x+7 is still in the denominator so x cannot be equal to -7 which means that this point should be be on the line which leaves the answer to be the one on the bottom left.

Which pair of angles is congruent?

Answers

You need to show us the triangle/s

The ratio of the interior angles of a triangle is 1 : 3 : 5. What are the angle measures? Write the angle measures from least to greatest.

Answers

Answer:

angles

1x

3x

5x

1x +3x +5x = 180 (ASP)

9x = 180

x= 180÷9

x= 20

1x= 20

3x= 60

5x=100

angles are 20°, 60°, 100°

Step-by-step explanation:

hope it helps u

Five Saturnians are shown below. Bruce is frowning and has the same antennae as Eve. Abby and Cindy are both smiling but only one has three eyes. Dave, Eve, and Cindy all have the same number of eyes. Eve is pictured directly to the left of Dave. Which Saturnian is smiling and has curved antennae.

Answers

Answer:

! will edit once i get a response !

Step-by-step explanation:

do you have a picture? if so, please upload it

Consider the following two quadratic equations.
4x ^ 2 - 12x + 4 = - 4
- x ^ 2 + 4x - 3 = 0
What solution is true for BOTH equations?

Answers

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero. x=2,1

2. Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=3,1

Step-by-step explanation:

Hope it is helpful.....

Answer:

x = 1

Step-by-step explanation:

Solving the equations

4x² - 12x + 4 = - 4 ( add 4 to both sides )

4x² - 12x + 8 = 0 ( divide terms by 4 )

x² - 3x + 2 = 0 ← in standard form

(x - 1)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

-------------------------------------

- x² + 4x - 3 = 0 ( multiply through by - 1 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

The solution that is true for both equations is x = 1

Please help due today

Answers

Answer:

23 = 1

46 = 2

92 = 4

138 = 6

Step-by-step explanation:

hope this helps

What is the solution to the equation below? √x+6 = x-6
A. x=12
B. x=3
C. x=4
D. x=10

Answers

Answer:

√x+6=x-6

squarring both side

x+6=x²-12x+36

0=x²-12x-x+36-6

x2-13x+30=0

x²-10x-3x+30=0

x(x-10)-3(x-10)=0

(x-10)(x-3)=0

either

x=10

or

x=3

Answer:

D:X=10

Explanation

Whitney works at an aquarium. She uses hoses of different sizes to fill the fish tanks. Hose A takes 16 min to fill a 160-gal tank. Hose B takes 30 min to fill a 240-gal tank.
Which hose fills at a faster rate?
Choose one option from each drop-down menu to answer the question.
Hose A fills at a rate of Choose... 0.1, 10, 144, 160 gal per min.
Hose B fills at a rate of Choose... 0.125, 8, 210, 240 gal per min.
Hose Choose... A or B fills at a faster rate.

Answers

Answer:

Hose A fills at a rate of 10 gal per min

Hose B fills at a rate of 8 gal per min

Hose B fills at a faster rate

Step-by-step explanation:

Answer:

Hose A=10 gal per min

Hose B=8 gal per min

Hose A is faster

Step-by-step explanation:

A) 160 gallon/16 minutes=10 gallons per minute

B) 240 gallon/30 minutes=8 gallons per minute

Jonas and Marisol were the only candidates for sixth grade class president. Jonas received 60 votes and Marisol received 90 votes.



Of the 90 votes cast for Marisol, 40% were girls. How many girls voted for Marisol?

Answers

Answer:

36 girls voted for Marisol

Step-by-step explanation:

Find x
I need help plz :(
A. 6
B. 24
C. 12
D. 12 sqr root of 3
E. 36

Answers

Answer:

b

Step-by-step explanation:

Answer:

To determine the value of X, what you would need to do is to use a trigonometric ratio, that would make use of the value of x and the side length of 12. This can either be, sin 30 or cos 60. Both of them will enable you to solve for x.

The final value for x would be either

X = 12/Sin 30

X = 12/Cos 60

Compute these in your calculator and you will find the final value in these cases.

Graph a line with a slope of 1 and a y-intercept of 4.​

Answers

Answer:

Step-by-step explanation:

Plot the y-intercept (0, 4).  Starting at (0, 4), move your pencil point 1 space to the right, to (1, 4), and from (1, 4) up 1 space to (1, 5).  Draw a straight line through (0, 4) passing through (1, 5) also.

find the area of the figure

Answers

Try 25 if i wrong correct me please

Which postulate proves the two
triangles are congruent
A. SAS
B. ASA
C. SSS
D. HL

Answers

the answer is C, SSS :))

Answer:

SSS

Step-by-step explanation:

Sunning itself on a cliff 5.8 feet above sea level. The iguana dove into the water from the cliff. When the iguana reached the deepest part of its dive, its total change in elevation was 8.3 feet. What was the iguana's position relative to sea level at the deepest part of its dive?

Answers

Answer:

deepest part of dive is 2.5 feets below sea level ;

-2.5 feets

Step-by-step explanation:

Given :

Initial Position = 5.8 feets above sea level = +5.8

Deepest part of dive = x

Change in elevation between initial position and deepest part of dive = 8.3 feets

Position relative to sea level at deepest part of dive :

x = change in elevation - Initial position

x = 8.3 feets - 5.8 feets

x = 2.5 feets

Hence, deepest part of dive is 2.5 feets below sea level

giving brainliest to whoever answers correctly, help please!!!

Answers

Answer:

Kyle is correct, the quadrilaterals are not similar

Step-by-step explanation:

Measure the corresponding sides and verify if the ratios are same or not.

Corresponding sides:

AB and LM, BC and MN, CD and NO, AD and LO

The measures, using coorinates and the distance formula:

AB = √(2-1)² + (4-3)² = √2LM = √(16-14)² + (4-6)² = √8 = 2√2BC = √(5-2)²+(5-4)² = √10MN = √(23-16)²+(2-4)² = √53

We can see the ratios of the two pairs are not same:

AB/LM = 1/2BC/MN = √10/531/2 ≠ √10/53

We can state that Kyle is correct

Find g. 45° 45° g 3
[tex]3 \sqrt{2} [/tex]
Write your answer in simplest radical form, units​

Answers

Step-by-step explanation:

sin45=3√2/g

g=3√2/(1÷√2)=3×√2×√2=3×2=6units

Answer:

g = 6 units

Step-by-step explanation:

In the given right angled triangle , rest 2 angles are same i.e. 45° each.

Lets assume the angle opposite to the side whose measure is 3√2 units as α (alpha).

⇒ α = 45°

So ,

[tex]\sin \alpha = \frac{side \: opposite \: to \: \alpha }{hypotenuse}[/tex]

[tex]=> \sin 45 = \frac{3\sqrt{2}}{g}[/tex]  ( [tex]\alpha = 45[/tex] )

[tex]=> \frac{1}{\sqrt{2}} = \frac{3\sqrt{2}}{g}[/tex]            (∵  [tex]\sin 45 = \frac{1}{\sqrt{2}}[/tex] )

[tex]=> g = 3\sqrt{2} \times \sqrt{2} = 6[/tex]

In solving quadratic equation, if the constant term is missing what is the best method to
use?

Answers

Step-by-step explanation:

If you are looking for its roots, try completing the square method, and factoring out the common terms. These two is what I usually use.

ab=
round to the nearest hundredth

Answers

cos = adjacent / hypotenuse

cos 25° = 4 / AB

cos 25° • AB = 4 / AB • AB

AB cos 25° ÷ cos 25° = 4 ÷ cos 25°

AB = 4/cos 25°

AB = 4.41 (nearest hundredth)

h(x) = x^3 - 2x
g(x) = 3x + 4 Find (h+g)(4)

Answers

9514 1404 393

Answer:

  72

Step-by-step explanation:

  h(4) = 4^3 -2·4 = 64 -8 = 56

  g(4) = 3·4 +4 = 16

Then the sum is ...

  (h+g)(4) = h(4) + g(4) = 56 +16

  (h+g)(4) = 72

can anyone solve this​

Answers

Answer:

Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)

=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)

=1+2sin A+1/cos A(1+sin A)

=2(1+sin A)/cos A(1+ sin A)

=2sec A

Answer:

see explanation

Step-by-step explanation:

Consider the left side

[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction

= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator

= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]

= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]

= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator

= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator

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

= 2secA = right side, thus verified

find the inequality of 3x-2÷4+3≥12​

Answers

Answer:

x + 5 = ,3

Step-by-step explanation:

x+5-5= +3-5

x= -2

In Vicky's rose garden, 2 of the rose bushes are blooming and the other 17 rose bushes are not blooming. What is the ratio of the number of bushes that are blooming to the total number of bushes?​

Answers

Answer:

2 : 19

Step-by-step explanation:

We know 2 of the bushes are blooming (this is the left number in my answer) but the other 17 are not. Neither of these is the total number of bushes. To find that, we need to add these together to get 2 + 17 = 19.

This means 2 out of 19 rose bushes are blooming.

Hope this helps! Have a great day!

√26+10-15 cuanto es me ayudan ?​

Answers

Step-by-step explanation:

If the whole thing is in a square root, then the  answer is sqrt21.

If only sqrt26 is in the square root, then the answer is -5+sqrt26.

(esto es en español) (This is in spanish transalation)

Si todo está en una raíz cuadrada, entonces la respuesta es la raíz cuadrada 21.

Si solo la raíz cuadrada 26 está en la raíz cuadrada, entonces la respuesta es -5 + raíz cuadrada 26.

PLEASE HELP! worth 50 points!! Please only put the right answer in I really need help trying to get my grade up..

Answers

Answer:

1) x = 41.8 deg

2) x = 64.2 deg

3) x = 51.3 deg

Step-by-step explanation:

Problem 1

For angle x, 4 is the opposite leg and 6 is the hypotenuse.

sin x = 4/6

x = sin^-1 2/3

x = 41.8 deg

Problem 2

For angle x, 14 is the adjacent leg, and 29 is the opposite leg.

tan x = 29/14

x = tan^-1 29/14

x = 64.2 deg

Problem 3

For angle xm 25 is the adjacent leg, and 40 is the hypotenuse.

cos x = 25/40

x = cos^-1 5/8

x = 51.3 deg

i really need help please i am failing amth

Answers

Answer:

The correct answer is 95 degree........

Answer:variable is 75

Step-by-step explanation:

в треугольнике abc точки d и m принадежат сторонам ab и bc dm и ac параллельны докажи что треугольник bdm подобен треугольнику abc​

Answers

Answer:

this is in Russian please ask in English

Step-by-step explanation:

I know what is the question but you should ask in English after translating ok

Kyla wants to add songs to her phone to listen to while she is riding on the bus. She bought 100 songs on her account.She is planning to download an equal number of songs each week for the next 5 weeks. The number of songs left to download, y, for a certain number of weeks, c is shown in the graph.

A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 140 at increments of 20. A straight line joins the ordered pairs 0, 100 and 1, 80 and 2, 60 and 3, 40 and 4, 20 and 5, 0.

Part A: Determine the rate of change and the initial value (2 points) of the function show on the graph. What does each represent in the scenario (2 points)? Show/Explain the work you completed to find the rate of change and initial value (2 points).

Part B: Using the information from Part A, write the equation that would model this relationship between x and y in slope-intercept form. (4 points)

Answers

Answer:

Slope = - 20; intercept, c = 100

y = - 20x

Step-by-step explanation:

The slope (s) = Rise / Run

using the pairs : (0, 100) and (5, 0)

x1 = 0 ; y1 = 100 ; x2 = 5 ; y2 = 0

Rise = (y2 - y1) = (0 - 100) = - 100

Run = (x2 - x1) = (5 - 0) = 5

Slope = - 100 / 5

Slope = - 20

Using the slope intercept relation :

y = mx + c

m = slope ; c = intercept

y = - 20x + c

Using the point (4, 20) to find c

20 = - 20(4) + c

20 = - 80 + c

20 + 80 = c

100 = c

Hence, c = 100

Slope, m = number of songs downloaded per week

c = Total number songs at week 0

The equation expressed in slope intercept form:

General form:

y = mx + c

m = - 20 ; c = 100

y = - 20x + 100

Please helpppp 15 points!!!​

Answers

Answer:

105 students and 150 guests

Step-by-step explanation:

equation to find the answer are

1x + 5y = 855

x + y = 255

with

x + y = 255

x = 255 - y

now we replace x with (255 - y) into 1x + 5y = 855 to find y

1(255 - y) + 5y = 855

255 - y + 5y = 855

255 + 4y = 855

4y = 855 - 255

4y = 600

y = 150 (number of guests)

now we got y = 150, let's find x

x + y = 255

x + 150 = 255

x = 255 - 150

x = 105 (number of students)

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

Other Questions
Xootr LLC is the producer of a high-end, award-winning kick scooter, known as the Xootr (pronounced "zooter"). The basic Xootr model (known as the Ultra Cruz) sells for slightly over $200.The company started production using a three-step assembly process depicted in the preceding figure. Three workers assemble the Xootr. The processing times are 13 minutes/unit for the first worker, 11 minutes/unit for the second worker, and 8 minutes/unit for the third worker. The assembly operation runs for 35 hours per week. The average salary for an assembly worker is $12 per hour.As demand for the Xootr grows, the company needs to change its assembly operations to increase its process capacity. Two experts are consulted for advice. The first expert comments: "As we grow our business, we really have to benefit from our workers specializing in a small set of activities. Right now, our longest processing time is 13 minutes per unit. If Xootr wants to double its process capacity, it should simply take each of the three activities and break them up into two subactivities. That way, six workers can produce a unit every 6.5 minutes."Another expert, however, disagrees. She observes: "Division of labor leads to frustrating, monotone work for the workers. Instead of having workers specialize in small subactivities, Xootr should do the opposite. Imagine one worker would perform all activities from beginning to end. This would avoid the problem of line balancing and increase the labor utilization. And the workers would see how all pieces come together, providing a more meaningful production experience. If we have six workers operating this way, we can have even more capacity."What do you think of the comments of these two experts? Draw a process flow diagram for each of the two expert proposals. For each proposal, compute process capacity, labor utilization, and costs of direct labor, assuming that the processing times in the proposal of the first expert would be cut in half (i.e., it would take 6.5 minutes per unit to do the first set of tasks currently included in activity 1 and another 6.5 minutes per unit to do the second set of tasks). Then, ask yourself what other variables might differ across these two proposals. .Write chemical equations to represent each of the following & identify the type of reaction that occurs.1. reaction of cesium metal with chlorine gas2. formation of sodium peroxidefrom reactants in elemental form3. reaction of magnesium and brominegas4. reaction of calcium with nitrogen gas followed by additional step of water workup.5. combustion of potassium to form potassium superoxide6. combustion of lithium metal in oxygen gas7. lithium metal heated in the presence of hydrogen gas and subsequently treated with water8. production of titanium metal throughthe reduction of titanium(IV) chloride with sodium metal Lopez acquired a building on June 1, 2016, for $4,329,700. Compute the depreciation deduction assuming the building is classified as (a) residential and (b) non residential.Click here to access the depreciation table to use for this problem.If required, round your answers to the nearest dollar.a.Calculate Lopez's cost recovery deduction for 2021 if the building is classified as residential rental real estate.$fill in the blank 1b.Calculate Lopez's cost recovery deduction for 2021 if the building is classified as nonresidential real estate.$fill in the blank 2 you might think that rocky is stronger than percy simply based on his name because The heights of a certain breed of dogs has a normal distribution with a mean of 28 inches and a standard deviation of 4 inches. If we randomly select 64 of these dogs, what is the probability that the mean height of 64 dogs is: a) Less than 27 inches? b) Greater than 28.5 inches? c) Between 27 and 28.5 inches? modic claims that the tort system no longer works properly for whom? Select the correct answer from each drop-down menu. Political parties have several ways to influence voters. Political parties can influence voters through campaign advertising, but voters are influenced also by other factors such as their beliefs and attitudes formed by their [first occupation, family], race, gender, or [voter identification, geographic region] The following questions will test your knowledge of comma usage. Identify the comma error(s), and choose the best revision. Alice Greenwich PhD is our director of marketing.a. Alice Greenwich PhD, is our director of marketing b. No error c. Alice Greenwich, PhD, is our director of marketing. A document that precisely states the treatments a person wants if he or she becomes terminally ill Each of the following is an indicator used to gauge the success of outcomes related to students with disabilities EXCEPT:A. Their overall satisfaction with their jobsB. Their overall satisfaction with lifeC. The numbers receiving post-secondary education or employmentD. Their household circumstances and community involvement In most solutions containing a strong or weak acid, the autoionization of water can be neglected when calculating [H3O+]. Explain why this is so ? A rectangle measures 2 2/3 inches by 2 1/3 inches. What is its area? thank you! which of the following access control processes confirms the identity of the entity seeking access to a logical or physical area? a.Authorisation b.Accountability c.Identification d. Authentication Which of the following is the best estimate of the number of centimeters (cm) in 1 yard? (Note: 1 yard-3 feet; 1 foot-12 inches; 1 inch -2.54 cm)..36 cm72 cm90 cm180 cmCONTINUE what does flailing the water mean Which behavior would not be seen as a manifestation of lack of impulse control? A. truancy. B. depression. C. defiance. D. academic difficulties. john has an intense, irrational fear of needles and other sharp objects. john is mostly likely to be diagnosed with ________ disorder. researchers often describe the stereotypical behavior, peculiar ritualistic hand movements, and other rhythmic movements observed in people with autism spectrum disorder as Trace the following tree scan function and describe its action. template int treeFunc (tnode *t) int n = 0, left, right; if (t != NULL) { if (t->left != NULL) n++; if (t->right != NULL) n++; left = treeFunc (t->left); right = treeFunc (t->right); return n + left + right; else return 0; (a) identifies the number of leaf nodes in the tree (c) identifies the number of edges in the tree (b) identifies the number of nodes in the tree (d) identifies the depth of the tree. which of the following statements about aging schedules is most correct? question 15 options: a) aging schedules are used to optimize patient flow. b) aging schedules are used to prioritize payments to vendors for supplies purchases. c) aging schedules are used to monitor an organization's receivables. d) statements a., b., and c are all correct.