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dem82 [27]
2 years ago
6

If AD=20 and AC=3x+4, find the value of x. Then find AC and DC. I don't understand.

Mathematics
1 answer:
Fofino [41]2 years ago
5 0
<span>Using the information we have 3x+4=40 Do the same to each side of the equation to eliminate for x. 3x+4=40 Minus 4 from each side 3x=40-4 3x=36 Divide 3 from each side x=36/3 x=12 AC=3x+4 insert the value of x 3(12)+4=40 AC=40 AD=20</span>
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What is the decibel level of the sound of a ticking clock with intensity 10−9 watts per square inch? Use a logarithmic model to
In-s [12.5K]

Answer:

β = (-0.19 dB).

Step-by-step explanation:

The formula which is used to calculate the decibel level of a sound is given by :

\beta=10\log (\dfrac{I}{I_o})

I is intensity of the sound of a ticking clock

I_o=10^{-12}\ watts per square meter

Since, 1\ \text{inch}^2=\dfrac{1}{1550}\ \text{m}^2

The intensity of a monster truck is converted into per square meter as follows:  

10^{-9}\ {W/in^2}=   \dfrac{10^{-9}}{1550}\ W/m^2\\\\10^{-9}\ {W/in^2}=6.45\times 10^{-13}\ W/m^2

So, Decibal level is :

\beta=10\log (\dfrac{6.45\times 10^{-13}}{10^{-12}})\\\\\beta =-0.19\ dB

So, the decibel level of the sound of a ticking clock is (-0.19 dB).

7 0
2 years ago
Read 2 more answers
A piece of wire 24 ft long is cut into two pieces. One piece is used to form a square, and the remaining piece is used to form a
abruzzese [7]

Answer:

SAY WHAT

Step-by-step explanation:

5 0
2 years ago
Your Turn
Elza [17]

Answer:

y = 3x + 10

y = 3x + 15

3 0
2 years ago
Identificati,prin verificare,ecuatia pentru care numarul x=3 este solutia
elena-s [515]

Answer:

concluzionăm că nu există o ecuație care să poată justifica valoarea x = 3 din opțiunile de mai sus după rezolvarea lor

Step-by-step explanation:

Urmează să aflăm din cele trei opțiuni date, care este una dintre opțiuni care rezultă în x = 3

Să rezolvăm opțiunea una după cealaltă pentru a deduce și determina care este răspunsul corect și corect.

a) -2*x + 3 = 9

-2x = 9 -3

-2x = 6

Împărțiți ambele părți la -2

x = 6/-2

x = -3

b) -4*x +5 = 7

-4x = 7 -5

-4x = 2

Împărțiți ambele părți la -4

x = \dfrac{2}{-4} \\ \\  \\ x= \dfrac{1}{-2}

c) \dfrac{1}{3}*x -8 =9

\dfrac{1}{3}x = 9 +8

\dfrac{1}{3}x =17

Înmulțiți ambele părți cu 3

x =17*3

x = 51

Prin urmare; concluzionăm că nu există o ecuație care să justifice valoarea x = 3 din opțiunile de mai sus după rezolvarea lor

5 0
2 years ago
Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Select three options.
IceJOKER [234]

Answer:

The true statements about the graph of the function are:

The range of the function is {y : y ≤ 6} ⇒ 2nd

The function is increasing over the interval (–∞ , –2) ⇒ 3rd

The function has a positive y-intercept ⇒ 5th

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = -x² - 4x + 2 is a quadratic function represented

  graphically by a downward parabola with maximum vertex

∵ The form of the quadratic function is f(x) = ax² + bx + c

∵ The coordinates of the vertex of the parabola are (h , k) where

   h = -b/2a and k = f(h)

∵ a = -1 , b = -4

∴ h = -(-4)/2(-1) = 4/-2 = -2

∵ k = f(h)

∴ k = -(-2)² - 4(-2) + 2 = -(4) - (-8) + 2

∴ k = -4 + 8 + 2 = 6

∴ The vertex of the parabola is (-2 , 6)

* Look to the attached figure to find the true statements

∵ The greatest value of the function is 6 ⇒ y-coordinate of the vertex

∵ The range of the function is the values y-coordinates of the points

  on the parabola

∴ The range of the function is {y : y ≤ 6}

- The domain of the function is {x : x ∈ R} or (-∞ , ∞)

∵ The value of y increasing after -∞ to the x-coordinate of the vertex

∵ x-coordinate of the vertex is -2

∴ The function is increasing over the interval (–∞ , –2)

- The parabola intersect the y-axis at point (0 , 2)

∵ The y-intercept is the intersection between the parabola and the

   y-axis

∵ The parabola intersect the y-axis at point (0 , 2)

∴ The y-intercept is 2

∴ The function has a positive y-intercept

9 0
2 years ago
Read 2 more answers
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