The derivative of f(x) at x=3 is 2x=6 approaching from the left side (apply power rule to y=x^2). The derivative of f(x) at x=3 is m approaching from the right side. In order for the function to be differentiable, the limit of derivative at x=3 must be the same approaching from both sides, so m=6. Then, x^2=mx+b at x=3, plug in m=6, 9=18+b, so b=-9.
Answer:
Step-by-step explanation:
AB/AC =1/2
(3x-4)/(2x+12)=1/2
2(3x-4) = 1(2x+12)
6x-8=2x+12
4x=20
X=5
AC/BC =3x-4/7x-2=22/33=2/3
AB/AC=3x-4/7x-2=22/33=2/3
AB/AC=3x-4/2x+12
6x-8=2x+12
You would get 4/5 still trying to work out the last mark
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4) 
Multiply by 2 on both sides
3m + 15 = 45
Subtract both sides by 15
3m = 30
Divide both sides by 3
so m = 3
5) 
Multiply both sides by 8
168 = q + 35
Subtract both sides by 35
q = 133
6) 
Subtract 14 from both sides
multiply by -11 on both sides
4x = 572
Divide both sides by 4
x= 143
7) 
Add 6 on both sides
Multiply both sides by 5
3c = 75
Divide both sides by 3
c = 25
8) 
Subtract both sides by 17
Multiply both sides by -2
t = -52
9) 
Multiply both sides by -7
42= 5p + 2
subtract 2 from both sides
40 = 5p
Divide both sides by 5
so p = 8
Answer:
44 degrees
Step-by-step explanation:
Triangles ABC and DBC are congruent (as said in the question), that would make the corresponding parts of the two triangles congruent.
Answer:
half a sphere is called a hemisphere
