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

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.

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

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 :)

Answer:

2nd option is correct

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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

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

Answer:

Step-by-step explanation:

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

jerry, Simon, curst, carl, ford

Answer:

thanks

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:

12, 30, 36, 48

Step-by-step explanation:

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyyy

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!

Answer:

Step-by-step explanation:

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!

Answer:

false

Step-by-step explanation

:

Answer:

38+9.49x < or = 100

Step-by-step explanation:

Answer:

Happy Chrismas My friend.

Answer:

-12 gal / min

Step-by-step explanation:

-60/5=-12

Answer:

tttttttttttttttttttttttttttttttttttttttttttttt

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 \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]

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

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

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)

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

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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

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

Answer:

6.5lb or 6 lb 8oz

Step-by-step explanation:

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!