You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.
Then 3x^2 + 4x -2 = mx - 5
solve 3x^2 + 4x - mx -2 + 5 = 0
3x^2 + (4 - m)x + 3 = 0
In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>
b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0
(4 - m)^2 = 24
4 - m = +/- √(24)
m = 4 +/- √(24) = 4 +/- 2√(6)
Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6
There are 180 degrees in a triangle
4. 38+38= 76 degrees
180-76=104
Isosceles, Obtuse
5. 65+ x+x=65
Well we know one of the x
It is 90 degrees because it is a right angle
65+90=155
180-155=25
Scalene, Right triangle
6. 71+45= 116
180-116=64
7. Scalene, acute
8. 126+22=148
180-148=32
Scalene, Obtuse
9. 50+90=140
180-140=40
Right angle, Scalene
Please let me know if i got anything wrong
P = 390,00 + 4000x
450,000 people - (15years x 4000) = 390k in 2010
15 years is the difference between 2010 and 2025
subtract 60k (that is the 15 years multiplied by 4k) from 450k and you get 390k.
Sorry if my explanations suck, I'm not great at explaining my thought process