What is the length of the dotted line in the diagram below? Round to the nearest tenth. *Will mark brainliest*

Answer:

OK, so I thought I could solve this but now I'm not so sure. I got [tex]\sqrt{x^{2}+4}[/tex] = [tex]\sqrt{x^{2}+4}[/tex] but this whole thing is such a huge mess I have no idea if it's right or wrong. I tried my best to get it right and I hope this helps.

Step-by-step explanation:

First, let's simplify the left side:

let's make (x + 3) = a and (x + 2) = b

so a · b or ab =

Now let's solve for a:

ab = [tex]\sqrt{x^{2}+4}[/tex]

ab/b = ([tex]\sqrt{x^{2}+4}[/tex]) / b

a = ([tex]\sqrt{x^{2}+4}[/tex]) / b

Now we can substitute a:

[([tex]\sqrt{x^{2}+4}[/tex]) / b] · b = [tex]\sqrt{x^{2}+4}[/tex]

{[([tex]\sqrt{x^{2}+4}[/tex]) / b] · b} / [([tex]\sqrt{x^{2}+4}[/tex]) / b] = ([tex]\sqrt{x^{2}+4}[/tex]) / [([tex]\sqrt{x^{2}+4}[/tex]) / b}

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

Now we can substitute a and b:

[([tex]\sqrt{x^{2}+4}[/tex]) / b] · ([tex]\sqrt{x^{2}+4}[/tex]) / [([tex]\sqrt{x^{2}+4}[/tex]) / b] = [tex]\sqrt{x^{2}+4}[/tex]

[tex]\sqrt{x^{2}+4}[/tex] = [tex]\sqrt{x^{2}+4}[/tex]

Answer:

5m + 2n + (n - 3m) + (7 - 3n) = 5m - 3m + 2n + n - 3n + 7 = 2m + 7

Step-by-step explanation:

Answer

36x287x855y46

Step-by-step explanation:

hmmmm

Answer: 290

Step-by-step explanation:

[tex]First\ integer\ on\ line\ n\ is:\ \dfrac{n^2}{2}-\dfrac{n}{2}+1 \\\\For \ line\ 17\ : \dfrac{17^2}{2}-\dfrac{17}{2}+1 =137\\\\\\Last \ integer\ on\ line\ n\ is:\ \dfrac{n*(n+1)}{2} \\\\For\ line\ 17:\ \dfrac{17*(17+1)}{2} =153\\\\Sum=137+153=290[/tex]

I have not say the equation in u(n+3) for the recurrence,

the resolution of the equation caracteristic and the resolution of a system of 3 equations with 3 variables.

Answer:

4 to 3

Step-by-step explanation:

The ratio of salt to pepper is

2/3 to 1/2

Multiply both fractions by 6

6 * 2/3 to 6 * 1/2

4 to 3

Let h be height of building

then In ΔABC

AB/BC =tan60degree

h/100 = root 3

h= 100 root 3

PLEASE MARK BRAINLIST!!

​

The required angle of elevation of the building is 16.7°.

Given that,
what is the angle of elevation to a building 1000 m away that is 300 m high is to be determined.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

Here,
The angle of the elevation is given as,
TanФ = 300/1000
Ф = tan⁻¹(3/10)
Ф = 16.7°

Thus, the required angle of elevation of the building is 16.7°.

Learn more about trigonometry equations here:

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Answer:

Sin( 30 ) is 1/2 .

A is the best / correct answer .

Answer:

The vertical line test is basically a way to determine whether or not a graph is a function.  All three of the options are accurate, so I would select all three.

Let me know if you have any other questions!

Let daughter be x years old. Then, Shyam is (x + 28) years old.

So,

x(x + 28) = 204

=> x² + 28x = 204

=> x² + 28x - 204 = 0

=> x² - 6x + 34x - 204 = 0

=> x(x-6) + 34(x-6)

=> (x - 6) (x + 34) = 0

=> x - 6 = 0 or x + 34 = 0

=> x = 6 or x = -34

Since any age cannot be negative, daughter's age is 6 years old.

Answer:

59 cm ³

Does the answer help you?

Answer:

90

Step-by-step explanation:

36/x * 40/100 = 3600/40x

and you get x = 90

Answer:

A

Step-by-step explanation:

f(x) = x+4 when x is equal to or less than - 2. f(-4)=0

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{12}[/tex] ← divide numerator and denominator by 3

= [tex]\frac{1}{4}[/tex]

4x -8 > -40

Add 8 to both sides:

4x > -32

Divide both sides by 4:

X > -8

Answer: x > -8

Answer:

5•362165924

Step-by-step explanation:

first make root of 32-6=5•099019514

then make root of 2+root2=1•84--

then divide upper by lower part answer comes

or

root32-6=root26

root 2+root 2=2root2

root26/root2root2

ans=3•0318---

Answer:

[tex] \frac{ \sqrt{32} - 6 }{ \sqrt{2} + \sqrt{2} } \\ \frac{ \sqrt{16 \times 2} - 6}{2 \sqrt{2} } \\ \frac{4 \sqrt{2} - 6}{2 \sqrt{2} } \\ \frac{2(2 \sqrt{2} - 3) }{2 \sqrt{2} } \\ \frac{2 \sqrt{2} - 3}{ \sqrt{2} } \\ thnk \: you[/tex]

The two lines are parallel if they are at same distant, but these lines will never meet at any point.

Parallel lines do not intersect each other. These lines are equidistant from each other.

In the given angles the line CB will be parallel to line AC.

CB ≅ AC

These two lines will be equidistant from each other since they both form an equivalent angle. These lines will not intersect with each other.

Learn more at https://brainly.com/question/24370301

Answer:

-1

Step-by-step explanation:

I know that i^4 = 1

i^10 = i^4 * i^4 * i^2

     = 1 * 1 * i^2

We know that i^2 = -1

    =1 *1 *-1

    = -1

0Answer:

A

Step-by-step explanation:

Find the zeros by letting y = 0 , that is

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Since the coefficient of the x² term (a) > 0

Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals

(-∞, - 2) and (3, ∞ ) → option A

Answer:

B) f(x) = 1/x-1

Step-by-step explanation:

You can type it into desmos graphing calculator- hope this helps

Option (B) is correct.

"Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation"

For the given graph,

The functions are

(A) [tex]f(x)=\frac{1}{x}[/tex]

(B) [tex]f(x)=\frac{1}{x-1}[/tex]

(C) [tex]f(x)=\frac{1}{x+1}[/tex]

Plot all these functions in the graph. We can obtain the graph as shown for option (B).

Hence we can conclude that option (B) is correct.

Learn more about graphing functions here

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Answer:

[tex]\frac{dy}{dx} = \frac{13}{8} [/tex]

Step-by-step explanation:

[tex] y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } } [/tex]

When x = 4,

[tex]\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8} [/tex]

Answer:

Hello,

Answer 13/8

Step-by-step explanation:

[tex]y=2x+\dfrac{3}{\sqrt{x} } \\\\y'=2+6*\dfrac{-1}{2} x^{\frac{-3}{2} }\\\\y'=3-\frac{3}{\sqrt{x^3}} \\\\\\For x=4, \\\\y'(4)=2-\dfrac{3}{8} =\dfrac{13}{8}[/tex]

The answer is

i) - c

ii) - b

iii) - b

iv) - a

v) -  d

Answer: 53 and 54

Explanation

Let the consecutive numbers be x and x + 1

ATQ

x + x + 1 = 107

2x = 107 - 1

x = 106/2

x = 53

Therefore the numbers are 53 and 54

Must click thanks and mark brainliest

Answer:

x = 53, x + 1 = 54

Step-by-step explanation:

Consecutive integers are two numbers that are after each other. (This is confusing wording, but hopefully this example helps):

Regular consecutive numbers: 1, 2, 3

Even consecutive numbers: 2, 4, 6

Since in this problem the numbers are not given you will use variables.

x + x + 1 = 107

Solve:

x + x + 1 = 107

2x + 1 = 107

      -1      -1

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

2x = 106

---    -----

2      2

  x = 53

x + 1

53 + 1 = 54

Hope this helped.

Answer:

It's C, 164

Step-by-step explanation:

Answer:  Choice A)  3x3

The 3x3 refers to the number of rows and the number of columns in that order.

As another example, this matrix

[tex]\begin{bmatrix}1 & 7 & 9\\13 & 41 & 2\\5 & 8 & 7\\92 & 3 & 5\end{bmatrix}[/tex]

is a 4x3 matrix because it has 4 rows and 3 columns.

Answer:

because of its bark

Step-by-step explanation:

the answers have corresponding letters so answer the questions and put the letter next to the question above the answer

some of the answers are repeated

Answer:

MAD - mean absolute deviation is indication of the distance of data points from the mean.

Data set B shows the greater variability since has greater MAD.

It means the B data set is more spread compared to A data set.

Hi there!

[tex]\large\boxed{x = -3}[/tex]

Begin by distributing the 5:

5(2x) + 5(-12) = -90

Simplify:

10x - 60 = -90

Add 60 to both sides:

10x = -90 + 60

10x = -30

Divide both sides by 10:

x = -3

Answer:

x = -3

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

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First, divide 5 from both sides of the equation:

5(2x - 12) = -90

(5(2x - 12))/5 = (-90)/5

2x - 12 = -90/5

2x - 12 = -18

Next, add 12 to both sides of the equation:

2x - 12 (+12) = -18 (+12)

2x = -18 + 12

2x = -6

Finally, divide 2 from both sides of the equation:

(2x)/2 - (-6)/2

x = -6/2

x = -3

-3 is your answer for x.

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