Solve the equation x=√(2x-4)+2. Show, explain, and check your work.

Answers

Answer 1

Answer:

x = 2, 4

Step-by-step explanation:

Hi there!

x=√(2x-4)+2

Move 2 to the left:

x-2 = √(2x-4)

Square both sides:

x²-4x+4 = 2x-4

Combine like terms:

x²-6x+8 = 0

Factor:

(x-2)(x-4) = 0

Therefore, x = 2, 4.

I hope this helps!


Related Questions

Find the missing value given the points and slope.
(9,7) and (x,4)
m=3/7




Answers

Answer:

Step-by-step explanation:

ANGLES OF A TRIANGLE SOMEONE ANSWER ASAP PLS ! );

Answers

Answer:

∠K = 123°

∠L = 97°

∠O = 83°

∠N = 40°

Step-by-step explanation:

∠K and ∡57° are Supplementary, so their sum is equal to 180°

180 - 57 = 123

∠K = 123°

∠N and ∡140° are also Supplementary

180 - 140 = 40

∠N = 40°

The area of a triangle is equal to 180 when all angles are added together

40 + 57 = 97

180 - 97 = 83

∠O = 83°

∠L is an outside angle, which is equal to the sum of the 2 further angles (in this case ∡57° and ∠N) which we found was 97° when solving for ∠O

∠L = 97°

Now to check ∠K we add ∠O and ∠N

83 + 40 = 123

Now we also check ∠O with ∡140°

140 - 57 = 83

So all of the angles check out correctly

The volume of a box is given by V=3x^3 + 33x^2 + 84x. Determine expressions for a possible set of dimensions for this box.

Answers

Answer:

(-7,0) (-4,0)(0,0)

Step-by-step explanation:

help pleaseeeeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

ford would be 250 in metres and the decimal would be the smallest

jerry, Simon, curst, carl, ford

Can someone please help me with this?

Answers

Obviously, Ali is correct. Khamis did a mistake, he forgot the negative sign of  - 5, when he divided b. He should have let - 5b and divided it by - 5 like ali did.

Good Luck

Can someone pls help me
Please show your work

Answers

Answer:

-5=x

Step-by-step explanation:

Angle 105º = (110+x)º

Solve for x.

105=110+x

Subtract 110 from both sides of the equation.

-5=x

Hope this helps :)

-5

110+x=105
-110 -110

X=-5


Find the slope of the line that passes through (10, 6) and (1,2)

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

[tex]\frac{(2-6)}{(1-10)}[/tex]=[tex]\frac{-4}{-9}[/tex]=[tex]\frac{4}{9}[/tex]

[tex]\sf 2x+21=3[/tex]




Free

Answers

[tex] \sf \longmapsto \: 2x + 21 = 3[/tex]

[tex]\sf \longmapsto2x = 3 - 21[/tex]

[tex]\sf \longmapsto2x = - 18[/tex]

[tex]\sf \longmapsto \: x = \frac{ - 18}{2} [/tex]

[tex]\sf \longmapsto x = - 9[/tex]

Answer:

[tex]\bf x=-9[/tex]

Step-by-step explanation:

[tex]\sf 2x+21=3[/tex]

Subtract 21 from both sides:-

[tex]\sf 2x+21-21=3-21[/tex]

Simplify

[tex]\sf 2x=-18[/tex]

Divide both sides by 2:-

[tex]\sf \cfrac{2x}{2}=\cfrac{-18}{2}[/tex]

[tex]\sf x=-9[/tex]

if a man travels at an average speed of 122km per hour how far will he travel in 3 hours and 45 minutes​

Answers

Convert 3h and 45 min to hours so it will be 3.9 hours

Then say:
Distance = speed ✖️time
= 122 km/h ✖️3.9h
=475.80 km
He will travel 475.80 km

Hope this helps ;)

Equation -5+2 = -3 5+(-2) = 3 2+(-5)=-3 -3+5=2​

Answers

Answer:

false

Step-by-step explanation

:

Solve for the value of t (photo)

Answers

Since the angle they have to equal is 97 the answer is 12

645 plus 763 to the nearest hundredth

Answers

Answer:

1408

What you have to do is 645 + 763 = 1408 that's how you doing I think so and sorry if I did it wrong

Please help! WILL MARK BRAINLIEST

Answers

Answer:

2nd option is correct

.........................

Answer:

1 1/9 ft^3

Step-by-step explanation:

5/3*1*2/3=10/9*1=10/9

10/9=1 1/9

Just this one question please There is no more. NO BOTS PLEASEE

Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?

Answers

Answer:

So that other people cannot use their music without the artists permission and usually payment.

Step-by-step explanation:

I'm not sure but this is my best answer!

pls help asap MIDSEGMENTS

Answers

Answer:

tttttttttttttttttttttttttttttttttttttttttttttt

need help asap MIDSEGMENTS
will give BRAINLIEST

Answers

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyyy

A train left the station. It traveled 30 miles and dropped off passengers. Then it turned around and traveled 15 miles. Write an integer that shows how far it is from the station.

Answers

15 miles because it travelled 30 miles then travelled 15 miles in the direction of the station, so 30-15=15

Water drains from a 60 gallon bath tub at a constant rate. It empties in 5

minutes. What is the rate?

Help me pls

Answers

Answer:

-12 gal / min

Step-by-step explanation:

-60/5=-12

Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?

Answers

Answer:

Step-by-step explanation:

First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:

[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]

Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.

[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]

HOPE THIS HELPS :D

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.

We know that if two angles of any triangle are the same then their opposite sides are also the same.

Let each side length of x ft. Then by the Pythagoras theorem. we have

[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Mira weighed 9 lb 4 oz and lost 2 lb 12 oz. How much did she weigh now?

Answers

Answer:

6.5lb or 6 lb 8oz

Step-by-step explanation:

 

What is the slope of the line?

Answers

Answer:

thanks

Step-by-step explanation:

A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases. Graph g when g(0)=-3 . Identify the slope, y-intercept, and x-intercept of the graph.

Answers

Answer:

The slope (m = rate of growth) for this function is 3/5. So, m= 3/5.

The y-intercept (b) for this function is located at (0,3). So, b=3.

Therefore, h(x) = 3/5x + 3

Step-by-step explanation:

Let the independent variable be x and dependent variable be y

y=h(x)

h is a linear function so it is represented in the general form of y=mx+c where

m is slope and c is the y-intercept.

Given "the dependent variable decreases 3 units for every 5 units the independent variable increases."

When x increases by 5, y decreases by 3

So the slope = rate of change of y / rate of change of x = -3/5

Given h(0)=3, h(0)=m(0)+c=3

c=3

Combining slope and y-intercept, y=-3/5*x+3

x-intercept is when y=0

0=-3/5*x+3

3/5*x=3

x=3*5/3=5

x-intercept=5

The slope of the linear function 3/5.

The y - intercept of the linear function - 3.

The x - intercept of the linear function - 5.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.

And, g(0) = - 3

Now,

Since, A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.

So, Slope = Rate of growth

               = - 3 / 5

Thus, The slope of the linear function - 3/5.

Hence, The general form of equation of line is,

⇒ y = mx + c

⇒ g (x) = - 3/5x + c

Since, g (0) = - 3

⇒ g (0) = - 3/5 × 0 + c

⇒ - 3 = c

Thus, The y - intercept of the linear function - 3.

Hence, We get the general form of equation of line as;

⇒ g (x) = - 3/5x - 3

For x - intercept put g (x) = 0, we get;

⇒ 0 = - 3/5x - 3

⇒ - 3/5x = 3

⇒ x = - 5

Thus, The x - intercept of the linear function - 5.

Therefore, The slope of the linear function 3/5.

The y - intercept of the linear function - 3.

The x - intercept of the linear function - 5.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

I NEED HELP
Jayden’s grandmother gave him a $75 gift card for his birthday. He has spent a total of $38 so far. He wants to spend the rest of the money on baseball caps. Write an inequality that can be used to find the number of baseball caps Jayden can buy with the money he has left on the card if each baseball cap costs $9.49.

Answers

Answer:

38+9.49x < or = 100

Step-by-step explanation:

4) Mason paid $54 for 9 lbs. of steak, and
Isabella paid $72 for 6 lbs. Which person
paid a greater ratio of dollars/lbs. of steak?

Answers

Answer:

Isabella paid more.

Step-by-step explanation:

$72/6 = $12.67

She paid twelve dollars for 1 lb of steak while Mason paid 6 dollars for 1 lb.

Answer:

Isabella has a greater ratio of dollars/lbs

Step-by-step explanation:

Mason paid $6/1 lb

Isabella paid $12/1 lb

Hope this helps!

(8+ 4)divided by 2 - 3

Answers

Answer:

3

Step-by-step explanation:

(8 + 4) / 2 - 3

12 / 2 -3

6 - 3

3

Answer:

3

Step-by-step explanation:

You do the parenthesis first (8+4)

Then you divide 12 by 2 if you are following Pemdas

6 - 3 = 3

Hope this helped!

List the multiples of 6 between 6 and 54
in order from least to greatest.
Multiples of 6: 6.
?
.24.
?
?
42,
?
54

Answers

Answer:

12, 30, 36, 48

Step-by-step explanation:

Which linear equation represents the graph?
A) y = 7x + 3
B) y = 7x + 10
C) y = 1/7x+3
D) y = 1/7x+10

Answers

Answer:

y = 7x + 3

Step-by-step explanation:

A slope of 1/7 will give you a line that is not very steep.  Therefore C and D is not the answer.

Now look at  A and B.  Check point (1, 10) into equations A and B  because this point is on the given graph.

y = 7x + 3                                    y = 7x + 10

y = 7(1) + 3                                   y = 7(1) + 10

y = 7 + 3                                      y = 7 + 10

y = 10      (1, 10)                             y = 17            (1, 17)

5) You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a three.independent or dependent?

Answers

Answer:

Happy Chrismas My friend.

A car travels 60 miles per hour. What is the total distance the car will travel in 60 minutes?

Answers

Answer:

The car will drive 60 miles in 60 minutes (an hour)

Step-by-step explanation:

For every hour driven (60 minutes) the person will drive 60 miles, therefore it will travel a distance of 60 miles in 60 minutes

Alexander earns ​12% commission each week. Last​ week, he sold ​$6,400 worth of stocks. How much did he make last week in​ commission? If he averages that same amount each​ week, how much did make in commission in​ 2011?

Answers

Answer:

Commission = $768

Total amount commission in 2011 = $41,472

Step-by-step explanation:

Commission = Sales × 12% of sales

Commission = $6,400 × .12

Commission = $768

Number of weeks in a year = 52 weeks

Total amount commission in 2011 = Commission per month × Number of

                                                            weeks in a year

Total amount commission in 2011 = $768 × 52

Total amount commission in 2011 = $41,472

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