Answer:

Step-by-step explanation:
It can be solved analytically or graphically. Graphically is the fastest way if you know how to handle the two lines. Let's rearrange terms in either case:

<u>Graphic:</u> Red line is
, solid blue line is
, the thin extension is the parent line without the absolute value.
Solving the equation is equivalent to answer "when is the blue line higher than the red one?" Which obviously happens outside the two intercept points. Let's find the first coordinate of both - we don't really care what's the y coordinate of either point.
For the left point, the x coordinate is given by 
For the right point, we have

<u>Analytical:</u>
We split the problem in two parts: while the content absolute value is non negative, we have

Which admits as solutions all valeus of x greater than 1 (since both have to be satisfied at once, and values between 1/2 and 1 will not work for the second.
OR, with a negative quantity inside the absolute value, we get

which again is satisfied by all values of x less than -1.
Thus the solution is given by 
Answer:
x = 9
Step-by-step explanation:
Given y varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition y = 6 when x = 27
27 = 6k ( divide both sides by 6 )
4.5 = k
x = 4.5y ← equation of variation
When y = 2 , then
x = 4.5 × 2 = 9
Answer:
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. This is an extension of ASA.
Answer:
x = √76
Step-by-step explanation:
in upper triangle :
7² - 3² =40 so the third side of the upper triangle is : √40
in the biggest triangle :
(3+3)² + 40 = 76 so the another side of the biggest triangle is : √76