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Zielflug [23.3K]
3 years ago
12

Use the graph to find the solution of the system of equations {y = x^2 + 6x + 8 {y = x + 4

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0
Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.

One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:

x^2 + 6x + 8 = x + 4

We can then combine like terms, or move everything to one side. So we get:

x^2 + 5x + 4 = 0.

Then we can use the quadratic formula to solve for x.

x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)

This simplifies into:

(-5 +/- 3)/2

Finally we add and subtract:

(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4

And our solution is x = -1, x = -4
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Which of the following equations could be used to solve for x in the triangle shown? tan48°=10/x
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Soh - Cah - Toa 

             opposite
sin = --------------------
            hypotenuse

              adjacent 
cos = -------------------
             hypotenuse

             opposite 
tan =  -----------------
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In your case, you can set up a sine trigonomic function, like this: 

Sin 48 = 10      (adjacent)
               -----  
                 x       (hypotenuse)

                       10
 (x) Sin 48 = ------ (x)
                         x

  (x) Sin 48 = 10 
 --------------   ------------- 
  Sin 48         Sin 48 

Plug in 10(sin)(48) into a calculator.

x = 7.43


I just realized that you didn't ask me to find the answer, but now you will know even more than you need to :D

4 0
3 years ago
Which of these numbers is between 1 and 5/6?
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Answer:

11/6

Step-by-step explanation:

6*2=12

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As a fraction, 6 does not go into 11 2times. Only once. 1 5/6

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Help please I don’t know the answer to this
erma4kov [3.2K]

Answer:

ima just say 10 and 6 my G I'm kinda dumb but u could try it

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1.name two acute angles in the figure
kirill115 [55]

Answer:

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Step-by-step explanation:

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