Simple ....
we know to find slope is (y1-y2)/(x1-x2)
if we plug in what we know......
(-8,-6),(2,-3)
(-6--3)/(-8-2)
it turns into...
(-6++3)/(-8+-2)
(-3)/(-10)= 3/10
Thus, your answer is that she made no mistake. (C)
Answer:
theta = 24.4 degrees
Step-by-step explanation:
This is a right triangle.
sin theta = opp/ hyp
sin theta = 33/80
Take the inverse of each side
sin^-1 sin(theta) = sin^-1 (33/80)
theta =24.36197794
To the nearest tenth
theta = 24.4 degrees
Answer:
Step-by-step explanation:
This form (x+b)²+c is a vertex form that can be found by completing square for the equation <span>x²+440x+440².
To complete square we will need to use formula a² +2ab + b² = (a+b)²
</span> x²+440x+440²,
<span>x² +2*220²x +220² -220² +440² (we added </span>220² -220², so nothing really changed here).
x² +2*220²x +220² -220² +440² ( here , bold part can be rewritten as (x+220)²)
(x+220)² -220² +440² (calculating bold part)<span>
</span>(x+220)² -220² +440² = (x+220)² + 145200
Now we have x²+440x+440², in the form that we need
x²+440x+440² = (x+220)² + 145200
(x+b)²+c = (x+220)² + 145200,
b=220,
c= 145200
So,
c/b = 145200/220 = 660
c/b = 660/1 (if you need it in a fraction form) or 660.
