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2 years ago

How do u solve this ?

Mathematics

1 answer:

svetoff [14.1K]2 years ago

6 0

Okay, I will give you the building blocks for solving this equation.

Now something you will need to remember is that a triangle will always add up to 180 degrees.

We can use y as that one unknown side in the triangle.

Knowing this, we can say (9x+16) + (6x+15) + y = 180

Then we can combine like terms like so : 15x+31+y = 180

There are two variables though. So we need more information.

Well, turns out we have the exterior angle of a straight line and the angle measures of a straight line must equal 180. We can now use (19x+3) + y = 180.

With both of these equations, you can now solve and find both of the angles

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2 years ago

Graph<img src="https://tex.z-dn.net/?f=fx%3D%20%7Cx%2B1%7C%20%2B2" id="TexFormula1" title="fx= |x+1| +2" alt="fx= |x+1| +2" alig

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The graph is shown in the following image

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The parent function of $f(x) = | x + 1 | +2$ is $y = | x |$

The graph of $y = | x |$ is the union of two lines:

$y = x$ for $x\geq0$

$y = -x$ for $x$

The vertex of this graph is in point (0,0)

<em>The graphic is shown in the attached image</em>.

Then, if we do $y = f(x + 1)$ to the parent function we get:

$y = | x + 1 |$

This transformation shifts the graph of $y = |x|$ 1 unit to the left

Then, if we make the transformation $y = f(x) + 2$ to the function $y = | x + 1 |$ we obtain:

$y = | x + 1 | +2$

This transformation displaces the graph of the function $y = | x + 1 |$ 2 units up on the y axis.

So, if the vertex of the main function $y = | x |$ was at point (0,0), the vertex of the function $f(x) = |x + 1| +2$ has its vertex in the point (-1, 2).

<em>The graph is shown in the following image</em>

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