Solve the equation for x.
√x+5 -1 = 2

To complete squares, she must use, in order:

Here we have the quadratic equation:

[tex]2x^2 + 12x - 3 = 0\\[/tex]

There are some ways of solving this, the first approach is completing squares, where we can write:

[tex]2(x^2 + 6x) - 3 = 0\\\\2(x^2 + 2*3*x + 9 - 9) -3 = 0\\[/tex]

Here we add and subtract 9 to complete squares and not change the equation. Here we used the third step only.

Now we just complete squares to get:

[tex]2*(x^2 + 6x + 9) - 2*9 - 3 = 0\\\\2(x^2 + 6x + 9) = 3 + 18 = 21\\\\2*(x + 3)^2 = 21\\\\x + 3 = \pm \sqrt{\frac{21}{2} }[/tex]

Where the first and fourth steps are also used.

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Answer:

2:3, 2 to 3

Step-by-step explanation:

9 and 6 are both factors of three, so you have to reduce. 3 goes into 9 tree times, and 3 goes into 6 twice. Since it is circles to squares, the 2 comes first then 3.

Hope this helps!

Setting up and equation from the word problem, Orlando has 24 apps on his phone, and Maria has 10 apps on her phone.

Let's assume that Orlando has x number of apps on his phone. According to the given information, Maria has 14 fewer apps, so the number of apps on Maria's phone would be (x - 14).

The total number of apps on both phones is 34, so we can set up the equation:

x + (x - 14) = 34

Simplifying the equation:

2x - 14 = 34

Adding 14 to both sides:

2x = 48

Dividing both sides by 2:

x = 24

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Answer:

slope = 3/5

y-intercept = -3

Step-by-step explanation:

This equation is formatted in slope-intercept form. The general structure of these equations are:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. Therefore, to find the answer, see which variable the numbers from the original equation correspond with.

y = mx + b

y = (3/5)x - 3

slope = m = (3/5)

y-intercept = b = -3

Answer:

slope = 3/5

y-intercept = -3

Step-by-step explanation:

This equation is formatted in slope-intercept form. The general structure of these equations are:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. Therefore, to find the answer, see which variable the numbers from the original equation correspond with.

y = mx + b

y = (3/5)x - 3

slope = m = (3/5)

y-intercept = b = -3

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The volume of the given cone.

[tex]\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}[/tex]

[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]

Let's solve!

Substitute the values according to the formula.

[tex]V=\frac{1}{3}×3.14×{12}^{2}×19[/tex]

[tex]\large\boxed{V=2863.68 \: {ft}^{3}}[/tex]

Therefore, the volume of the given cone is 2863.68 cubic feets.

The option that correctly replaces the question mark in Aisha's proof is SAS (Option C). See it explained below.

Mathematical proofs are statements that are used to demonstrate that a mathematical expression or logic of true.

Since the portion of the question that shows the question mark is missing, we can rewrite the proof as follows:

Step 1

AB Dissects BC

AE ║ BD

Reason - It is given

Step 2

BC ≅ BE

Reason -  Definition of Segment Bisector

Step 3

∠ABE ≅ ∠CBD

Step 4

∠BCD ≅ ∠BEA

Reason

Alternative Interior Angles

Step 5

ΔBCD ≅ ΔBEA

Reason

SAS Postulate

Step 6

QED

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In order to save money, the person should buy Toilet paper B.

In order to determine the unit price of each option, divide the total cost by the number of rolls. The option that would save money is the cheaper option.

Unit cost = total cost / number of rolls

$4.59 / 6 = $0.77

$9.02 / 12 = $0.75

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Answer:

288

Step-by-step explanation:

Find the 18 on the x axis. Go up to the line. Then go left and you will be at 288 on the y axis.

You can also divide a known coordinate to find the rate of change, since the graph is proportional. Use (6, 96). y/x = rate of change

96/6 = 16.

Now multiply 18 and 16 to get the number of cookies.

18 x 16 = 288

Answer:

This will be a negative exponent so get rid of that negative number,

Step-by-step explanation:

This is very useful

The nature of the research is called Observational Study while the target Population is American Students.

1) In study, we survey members of a sample without trying to affect them while in experiment, we assign people or things to groups and apply some treatment to one of the groups, while the other group does not receive treatment. Thus, this is an observational study.

2) The sample is the 100 students made up of 50 boys and 50 girls.

3) The target Population are American College Students

4) The sampling method is; Simple random Sampling

5) The data is qualitative because it deals with description of feelings rather than dealing with numbers and figures.

6) It is unlikely that the results would be invalid because of sampling bias as it was only done in a private university.

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Answer:

[tex]\tan \dfrac{\theta}2 = \dfrac{1}2[/tex]

Step by step Explanation:

[tex]\sin \theta = \dfrac{\text{Perpendicular} }{\text{Hypotenuse}} = \dfrac{12}{15}\\\\\\\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}= \dfrac{9}{15}\\\\\text{Now,}\\\\\tan \dfrac{\theta}2 = \dfrac{\sin \tfrac{\theta}2}{\cos \tfrac{\theta}2}\\\\\\~~~~~~~~=\dfrac{2\cos \tfrac{\theta}2 \sin \tfrac{\theta}2 }{2\cos^2 \tfrac{\theta}2}~~~~~~;\left[\text{Multiply by}~ 2\cos\tfrac{\theta}2 \right][/tex]

         [tex]=\dfrac{\sin \theta}{1+ \cos \theta}~~~~~~~~~~~~;[2 \sin x \cos x = \sin 2x ~ \text{and}~ 2\cos^2 x =1+\cos 2x]\\\\\\=\dfrac{\tfrac{12}{15}}{1+ \tfrac{9}{15}}\\\\\\=\dfrac{\tfrac{12}{15}}{\tfrac{24}{15}}\\\\\\=\dfrac{12}{15}\times \dfrac{15}{24}\\\\\\=\dfrac{12}{24}\\\\\\=\dfrac{1}2[/tex]

Answer:

8

Step-by-step explanation:

Intersecting Chords Formula:

(segment piece) x (segment piece) = (segment piece) x (segment piece)

5*x = 4*10

5x = 40

Divide by 5

5x/5 = 40/5

x = 8

Answer:

A

Step-by-step explanation:

dont have it but its A

Answer:

141.75 pounds

Step-by-step explanation:

20.25* 7 = 141.75 pounds

You could also add 20.25 + 7 seven times.

Answer:

$130

Step-by-step explanation:

120 x (1 + 1/12) = 120 x 13/12 = 130

Answer:

  14 visits

Step-by-step explanation:

The total number of points on Blake's card will be the sum of the initial number and the number earned for visits. The number earned for visits is the product of the number of visits and the the points earned per visit.

__

The number of points on Blake's card will be ...

  p = 35 +11.5x . . . . . when Blake makes x visits to the theater

We want to find x when p=196, so we have ...

  196 = 35 +11.5x

This 2-step equation is solved in the usual way.

  161 = 11.5x . . . . step 1, isolate the variable term by subtracting the constant

  14 = x . . . . . . . . step 2, divide by the variable coefficient

Blake must make 14 visits to earn a free movie ticket.

Answer:

A

tyler has a points card for a movie theater.

he receives 75 rewards points just for signing up.

• he earns 10.5 points for each visit to the movie theater.

he needs 180 points for a free movie ticket.

.

a

how many visits must tyler make to earn a free movie ticket?

Step-by-step explanation:

Answer:

I believe it should be rounded to 11, if not decimal would be 10.88

Step-by-step explanation:

49 divided by 9 equals 5.44 which is the amount times the 49cm^2 triangle is compared to the 9cm^2. So then the side is 2cm, multiply by the amount times bigger the other triangle is which would be 10.88. Hopefully I'm not wrong:)

Answer:

The answer is 4 and 2/3 cm²

Step-by-step explanation:

Take the square root of 49 and 9 and you'll get 7 and 3 since the scale factor is the large area over the small area.

The large area would be √49 cm²

The small area would be √9 cm²

  7          x cm

------ =  ----------, cross multiply

  3         2 cm

7 × 2 = 3 × x

14 = 3x

x = 14/3, x = 4 and 2/3

The required equation of the line is 5y=x.

We are given to find the equation of the line passing through the points (0, 0) and (15, 3).

We know that

The equation of a line passing through two points (a, b) and (c, d) is given by

[tex]y-b=\frac{d-b}{c-a}(x-a)[/tex]

Therefore, the equation of the line passing through the points (0, 0) and (15, 3) is given by,

Thus, the required equation of the line is

[tex]y-0=\frac{3-0}{15-0}(x-0)\\y=\frac{3}{15}x\\ y=\frac{1}{5}x\\ 5y=x[/tex]

Thus the required equation of the line is 5y=x.

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Answer:

No answer

Step-by-step explanation:

I'm just a smart guy

Answer:

For the entire United States, excluding Hawaii and Alaska, the average amount of moisture falling as rain and snow is 30.21 inches

Step-by-step explanation:

depends on the state

Answer: 112 divided by 8 equals the length of the lion costume

Step-by-step explanation: 112 divided by 8 equals ???

Try and work it out using the bus stop method

Sorry if I wasn’t much help.

Hi Student!

Let's go through each of the options that were provided to the question stating what part of the circle was highlighted in red and talk about what they mean.

First off, radius is the distance from the outer line to the middle which perfectly incapsulates what the red line is.  Therefore, the correct answer would be option A, Radius.

However, if you want to understand the rest of the definitions you can follow with the bullets provided.

x = 85

sum of all the angles must be 540,

105 + 120 + 3x + 35 + 25 = 540

3x = 255

x is 85

The conditions or surroundings in which we all live is called the environment. The main elements of the environment are air, water, temperature, weather conditions and more.

The environment is the base of the life cycle. It is the most precious gift of nature. But now our environment is in danger. Saving the environment is very important for living a comfortable life. It is the biggest challenge for humans to revert the environment to its real state. But nothing is impossible.

We need to take some steps immediately in order to save the environment and revert it back to its original form. Using natural resources efficiently is a powerful way to save our environment.

☆...hope this helps...☆

_♡_mashi_♡_

Answer:

(4x+2)(4x-2)

Step-by-step explanation:

Answer:

(4x+2)(4x-2)

Step-by-step explanation:

Answer:

$20,285.51

Step-by-step explanation:

A = P + I where

P (principal) = $12,000.00

I (interest) = $8,285.51

A = Pe^(r*t)

A = 12,000.00(2.71828)^((0.075)*(7))

A = $20,285.51

e, also known as Euler's number, is a mathematical constant approximately equal to 2.71828

e here helps to show continously compounded interest

calculatorsoup

wikipedia

Let's say that the money that each person has is equal to a letter:

A=Debbie, B=John, C=David.

Now we can write some equations.

"John has four times as much money as his sister Debbie who has half as much as their friend David."

B = 4A

A = 0.5C

"Together the three children have $105"

A+B+C=105

This is now a system of equations problem. Substitute to solve.

A + (4A) + C = 105

(0.5C) + 4(0.5C) + C = 105

3.5C = 105, so C = 30.

Plug this into the previous equations to get A=15 and B=60

So Debbie has $15, John has $60, and David has $30