
Let
, so that differentiating both sides wrt
gives

If
and
, the above reduces to

This is the slope of the tangent line, which has equation

Answer:
1/250
Step-by-step explanation:
1000/4 simplifies to 1/250
All you had to do was simplify it
Answer:
<em>x</em>=28, <em>y</em>=12
Step-by-step explanation:
The squiggly symbol? This means the shapes/angles are congruent, meaning that if you rotated them around, they would match.
x's match runs along the same line as it's match, and same goes for y's. Imagine rotating around the lower triangle and lining it up with the upper triangle.
Answer:
5 years
Step-by-step explanation:
The shorter tree is 5 ft shorter, but is growing 1 ft/year faster. It will make up the difference of 5 ft in (5 ft)/(1 ft/year) = 5 years.
4(x - 4) + 65 = -3x
4(x) - 4(4) + 65 = -3x
4x - 16 + 65 = -3x
4x + 49 = -3x
- 4x - 4x
49 = -7x
-7 -7
-7 = x