What is the solution to the equation ? (x - 2) ^ (1/2) + 4 = x

Answers

Answer 1

Answer:

x is equal to both 3 and 6.

Step-by-step explanation:

[tex]\sqrt{x - 2} + 4 = x\\\sqrt{x - 2} = x - 4\\x - 2 = (x - 4)^2\\x - 2 = x^2 - 8x + 16\\x^2 - 9x + 18 = 0\\(x - 3)(x - 6) = 0\\[/tex]

So x values of 3 and 6 will make this statement true.


Related Questions

Solve for x , if x + 47 = -23 .

x =

Answers

Answer:

-70

Step-by-step explanation:

subtract 47 from both sides to get

x = -23 - 47

Answer:

Step-by-step explanation:

x + 47=-23

x + 47 - 47=-23 - 47

x=-70

solve the system of linear equations. 3x+4y= -18 ; y= -4x -11

Answers

Answer:

(-2,-3)

Step-by-step explanation:

40:10 = 12 :
Equivalent ratio

Answers

40:10=12:3


Solution:

Since
40 : 10 = 12 : X

Then we know
10/40 = X/12

Multiplying both sides by 12 cancels on the right
12 × (10/40) = (X/12) × 12
12 × (10/40) = X

Then solving for X
X = 12 × (10/40)
X = 3

Therefore
40 : 10 = 12 : 3

A 4 inch by 6 inch picture is placed in a gram that creates a uniform border of x inches around the picture

Answers

Answer:

1.5 inches.

Step-by-step explanation:

A picture measuring 4 inches by 6 inches is placed inside a frame which has equal width around the entire picture.

The area of the frame and the picture is 63 square inches.

For the class field trip, the fourth grades at Jefferson Elementary School need to take buses. Each bus fits 55 students and there are 200 students in fourth grade. How many buses will they need?
3 buses
3 R20 buses
4 buses
None of these is correct.

Answers

you would need 4 buses to bring all the students because you would still have some students left to ride the bus if you only get 3 buses

They will need 4 buses.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

For the class field trip,

the fourth grades at Jefferson Elementary School need to take buses.

Each bus fits 55 students,

and there are 200 students in fourth grade.

The number of buses,

= 200/55

= 3.63

≈ 4.

Therefore, the need is for 4 buses.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Simplify 8 - (14) please help

Answers

Answer:

The answer is - 6 hope this helped

-16.3=w+6.1 first to answer will earn brainiest!

Answers

Answer:

w = - 22.4

Step-by-step explanation:

w + 6.1 = -16.3

**subtract 6.1 on both sides to isolate w:

w = -16.3 - 6.1

w = -22.4

Answer:i wont answer it because the other guy is right

Step-by-step explanation:

ZX is perpendicular bisector of WY if WY=24 what is WX

Answers

Answer:

12

Step-by-step explanation:

Can someone help me with number 7

Answers

Answer:

1. zach is 20'

2. zack is 13

Step-by-step explanation:

mean median mode range​

Answers

Answer:

I think your question is the differences between these terms in mathematical explanation? Well, the median is the middle. You add and divide for the mean. The mode is the one that appears the most. And the range is the difference in between.

Other:

Brainliest? Thanks!

[tex]mean = \frac{sum \: \: of \: \:all \: \: obsevations}{no. \: \: of \: \: observations} [/tex]

[tex]median = middle \: \: most \: \: value[/tex]

[tex]mode = most \: \: occuring \: term[/tex]

[tex]range = highest \: \: observation \: - lowest \: \: observation[/tex]

For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.

1. 9.1
2. 8.2
3. 9.4
4. 7

Answers

Answer:

[tex]\boxed{\boxed {\sf 3. \ 9.4}}[/tex]

Step-by-step explanation:

First, recall the three basic right triangle trigonometry ratios.

sin(θ)=opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacent

Theta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.

We are also given 2 sides: 10 and x.

10 is the hypotenuse, because it is opposite the right angle. x is opposite the 70 degree angle.

Since we have the opposite and hypotenuse, we must use sine.

[tex]sin (\Theta)= \frac{opposite}{hypotenuse}}[/tex]

The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.

[tex]sin(70)=\frac{x}{10}[/tex]

We are solving for x. We must isolate x on one side of the equation.

Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.

[tex]10*sin(70)=\frac{x}{10}*10[/tex]

[tex]10*sin(70)=x[/tex]

[tex]10*0.939692621=x[/tex]

[tex]9.39692621=x[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.

[tex]9.4 \approx x[/tex]

x is about 9.4

Answer:

First, recall the three basic right triangle trigonometry ratios.

sin(θ)=opposite/hypotenusecos(θ)= adjacent/hypotenusetan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.

We are also given 2 sides: 10 and x.

10 is the hypotenuse, because it is opposite the right angle.x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.

sin (\Theta)= \frac{opposite}{hypotenuse}}

The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.

sin(70)=\frac{x}{10}sin(70)= 10x

We are solving for x. We must isolate x on one side of the equation.

Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.

10*sin(70)=\frac{x}{10}*1010∗sin(70)= 10x

∗10

10*sin(70)=x10∗sin(70)=x

10*0.939692621=x10∗0.939692621=x

9.39692621=x9.39692621=x

Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.

9.4 \approx x9.4≈x

x is about 9.4

what is a preimage and image of triangle in a translation

Answers

Answer:

translation to what language?

Step-by-step explanation:

9514 1404 393

Explanation:

The preimage is the original triangle, the figure before any transformation is done to it.

The image is the result of applying a transformation to the preimage.

__

When the transformation is translation, the image is congruent to the preimage, but is located in a different place. It is not rotated or reflected if the only transform is translation.

3. The Round Rock Express has a pitcher with an impressive winning record. Opposing teams are attempting to analyze his pitches. The pitcher throws a strike 35of the time. If the pitcher throws a strike the next pitch is a fastbal 40% of the time. If the pitcher doesn't throw a strike the next pitch is a fastball 80% of the time.

Answers

Answer:

0.66

Step-by-step explanation:

Given:

Let P(Throwing strike) = 0.35

So,

P(S') = 1 - 0.35 = 0.65

P(A / B) = P(A and B) / P(B)

P(Throwing fastball and thrown strike) = P(F / S) = 40% = 0.4

P(Throwing fastball  not thrown  strike) = P(F / S') = 80%

P(Throwing fastball  not thrown  strike) =0.8

So,

P(F and S) = 0.8 x 0.65

P(F and S) = 0.52

P(F) = [P(F / S) x P(S)] + [P(F / S') x P(S')]

= (0.4 x 0.35) + (0.8  x 0.65)

= 0.14 + 0.52

= 0.66

In how many zeros does 75! end?

Answers

They have 18 zeros this is not

What is the answer for 2 x 4 x 5 x 99 ÷ 3 x 56?

Brainliest for the correct answer!

Answers

Answer:

73920

Step-by-step explanation:

pemdas

2*4=8

8*5=40

40*99=3960

3960/3=1320

1320*56=73920

Answer:

73920

Step-by-step explanation:

Evaluate: 12y+9d if y = 5 and d = 7

Answers

Answer:

123

Step-by-step explanation:

Substitute values of y and d into equation.

12y+9d = 12(5) + 9(7)

Evaluate.

12(5) + 9(7) = 60 + 63

Simplify.

60 + 63 = 123

Answer:

123

Step-by-step explanation:

12y + 9d

12(5) + 9(7)

60 + 63

123

What is the greatest common factor of 36, 90 and 108?

Answers

Answer:

The one greatest common factor of 36, 90, 108 is 18.

Step-by-step explanation:

I save 100 a month to go to Tokyo and rent a hotel
Which costs 1,391 for a flight and 34 for a hotel
What is the constant rate of proportionality?

Answers

Answer:

the c.o.p is 14.25

Step-by-step explanation:

The high temperatures for two consecutive days were 83°F and 79°F. If the average(mean) high temperaature, including a third day, was greater than 82°F, then what was the high temperature on the third day? Write an inequality representing the problem.

Answers

Answer:

83F+79F+X

-----------------      >82F

        3

Step-by-step explanation:

X is the unknown temp, which is the third day.  adding all those up and dividing that by 3 will give you the average. if the average is above 82F, then you just add a > symbol showing that its higher than 82F

The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?

please answer asap

Answers

Answer: If the a and b of your formula mean how many hours it takes each

person, like a = 2 and b = 1, then the formula gives 3/2 or 1 hour and

30 minutes.  This is not reasonable, since one of the painters alone

could do it in 1 hour.  

Actually, your formula is UPSIDE DOWN. It should be (a*b)/(a+b).

Here's why.  

Let h be the number of hours it takes for the two of them to do it

together. The first person could do it all in a hours, but can paint

only a fraction of the wall working h hours. Assuming a constant rate

of painting, that fraction is h/a. That is, the first painter will

paint h/a of the wall in h hours.  

Similarly, the second painter will paint h/b of the wall in that time.

So, when will they be done? When the whole wall is painted, which

happens whenever those 2 fractions add up to 1.  

You need to solve the following equation:

 (h/a) + (h/b) = 1  

     h*b + h*a = a*b           Multiplying through by a*b

       h*(b+a) = a*b           Factoring out h

             h = (a*b)/(a+b)   Dividing both sides by b+a

Okay, now say 3 painters could do it in a hours, b hours or c hours,

respectively. Let h be the number of hours they all must work to get

it all painted. The first painter finishes h/a of the wall in that

amount of time. The other 2 painters manage to paint h/b of the wall

and h/c of the wall in that time.  Since h is the time to finish the

job, all 3 of these fractions must add up to the whole wall, or 1.  

So you have the equation:

   

       h     h     h        

      --- + --- + ---  =  1

       a     b     c    

 

Solve this for h (start by multiplying through by a*b*c) and you will

get the generalized formula for 3 painters. It's not the formula you

wrote above but I think you can finish it off.

 

(I hope this helps. I'm sorry if it's wrong)

Find the volume of a right circular cone that has a height of 11.1 in and a base with a
circumference of 17.6 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

V = 0.8 in^3

Step-by-step explanation:

Formula:

V = πr^2(h/3)

C = 2πr

Given:

h=11.1

C = 17.6

C = 2πr

17.6 = 22πr

0.8/π = r

V = πr^2(h/3)

V = π(0.8/π)^2((11.1)/3)

V = π(0.0648455575)(3.7)

V = 0.8 in^3

How many fifths in 3/4?

Answers

4 cups [US] = 1.063 (1 1/8) fifths

Answer:

19

Step-by-step explanation:

a race car driver completes 30 laps in 15 minutes at a constant speed.


What's is the driver's speed?​

Answers

Answer:

2 laps per second.

Step-by-step explanation:

30 divided by 15 equals 2. If you wanted to convert the speed into a more conventional unit you would multiply 2 by the length of a lap.

Multiply (6.5 x 10)(1 x 10). Express the result in scientific notation.

Answers

Answer:

ans=6.5×10²

Step-by-step explanation:

ans =650=6.5×10²

Joe mowed 1 1/2 lanws

Answers

Answer:

3 3/5 lawns

Step-by-step explanation:

First you have to figure out how much of a lawn he mows in 1 hour. He mows 0.6 of a lawn in one hour.

Next, you multiply 0.6 by 6 to get your answer.

Your answer is 3 3/5 lawns.

Answer:

4

Step-by-step explanation:

4 (3u - 1) - 4u = 76*
u=?

Answers

Answer: 12u-4-4u=76

Step-by-step explanation: Use distributive property and PEMDAS, that might help.

Can someone help me with 3 and 4

Answers

Answer:

x÷3+10 (if x=15)

15÷3+10

5+10

15

f(x)=2x 5 −13x 4 +22x 3 −187x 2 −160x+336

Answers

Answer:

i think 3

Step-by-step explanation:

A 5 lb. package of chicken costs $6.00. What is the cost per pound?

Answers

Answer:

$1.2

Step-by-step explanation:

Cost per pound = 6/5 = $1.2

Answer:

1.20 a pound

Step-by-step explanation:

WILL GIVE BRAINLIEST

just need answer:)

Answers

I think its b im sure
I think the answer is b
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