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bagirrra123 [75]
2 years ago
6

Use the Pythagorean Theorem to find an approximate value of x

Mathematics
1 answer:
kozerog [31]2 years ago
7 0

Answer:

Step-by-step explanation:

Hypotenuse² =base² + altitude²

(3x + 4)² = (2x + 1)² + (3x)²

{Use (a+b)² = a² + 2ab + b²}

(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²

9x² + 24x + 16 = 4x² + 4x + 1 + 9x²

9x² + 24x + 16 = 13x² + 4x + 1

0 = 13x² + 4x  + 1 - 9x²  - 24x - 16

13x² - 9x² + 4x - 24x +1 - 16 = 0

4x² - 20x - 15 = 0

a = 4 ; b =-20  ; c = -15

D = b² - 4ac  = (-20)² - 4*4*(-15) = 400 + 240 = 640

√D = √640 = 25.30

x=\dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\\\x=\dfrac{20+25.30}{2*4} \ ; \ x=\dfrac{20-25.30}{2*4}\\\\\\x=\dfrac{45.30}{8} \ ; \  x =\dfrac{-5.30}{8}\\\\

x = 5 .66   ; x = -0.66

Ignore x = -0.66 as length of a side cannot be negative

Answer : x = 5.66

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Answer:

Slope = 1

Step-by-step explanation:

The table gives the values of y corresponding to the values of x.

At x =5, y = 2.

At x = 7, y = 6 and  

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Now, we have to determine the slope between points where x = 5 and where x = 10.

Now, the two concerned points are (5,2) and (10,7) and we have to find the slope between those two points.

Now, slope,  m = \frac{7 - 2}{10 - 5} = 1 (Answer)

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3 years ago
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What is 6-2p=p+9 ?Because I don't know it​
nikklg [1K]

Hey there!

  • Firstly, you have to \bold{simplify} each of the sides of your equation
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  • \rightarrow\bold{-2p+6=p+9}
  • Now that you have that  portion out of the way, we could  move on to our second step... which is to \bold{subtract} by the value of  \bold{p} on each of your sides
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  • Thirdly, you have to \bold{subtract} by the number \bold{6} on each of your sides
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Good luck on your assignment and enjoy your day!

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For the triangle shown below, complete the following table.
dem82 [27]

Answer:

Step-by-step explanation:

In the given triangle

With reference angle A

perpendicular (P) = 3

hypotenuse (h) = 5

So  sin A = p/h = 3/5

and

With reference angle C

perpendicular (p)=  4

hypotenuse (h) = 5

Sin C = p/h = 4/5

hope it helps :)

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so therefore y= 5x -26
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