The domain of (f/g)(x) considers the domains of g(x) and f(x) and makes sure that g(x)≠0
because (f/g)(x)=f(x)/g(x)
and division by 0 is not allowed
the domains of f(x) and g(x) are all real numbers
now find what make g(x)=0
0=x-9
9=x
9 is restricted from the domain
domain is all real numbers except 9
so
the domain is all real numbers except for 9
Answer:
s = 11.
Step-by-step explanation:
To find the value of 's', we can first use the Supplementary Angles theorem. If '12s' is the measure of the angle outside of the triangle, the angle inside the triangle must be equivalent to '180-12s'.
Since the sum of all of the angles of the triangle must be 180°, we can set up an equation to solve for 's':
180 = 45 + 10s - 23 + 180 - 12s (Subtract both sides by 180)
Simplify:
0= 45 + 10s - 23 - 12s (Subtract both sides by 45, and add 23 to both)
-22 = 10s - 12s
-22 = -2s (Divide both sides by -2)
s = 11.
Step-by-step explanation:
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Answer:
Option B.
Step-by-step explanation:
Consider the below figure attached with this question.
It is given that triangle ABC is an isosceles triangle.
From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).
Distance formula:
Using this formula, we get
Now,
Perimeter of triangle ABC = AB + BC + AC
So, perimeter of triangle ABC is 
units.
Therefore, the correct option is B.
Answer:
2) 30, 70, 80
Step-by-step explanation:
Well there has to be <em>3 angles</em> that all add up to <em>180°</em>.
1)
100+130+130
=360
2)
30+70+80
= 180
3)
25+3+35
=63
4)
45 + 105 + 120
=150
150+120
270
