Answer:
They're not parallel, because 4x and 12x are not the same slope
Step-by-step explanation:
tan30 = 14/x
x = 14tan30
x = -89.7
The solution (400, 3, 200) is the answer to a system of equations which has three variables. Respectively, this system is expected to have three equations because it has three unknowns. So for example if your unknowns are x, y and z, then the answers will be x=400, y=3, and z=200.
Answer:
- 2 2/7
Step-by-step explanation:
First, do the conversion:
[-(6*7)+3]/7 = -39/7
[(3*7)+2]/7 = 23/7
Then calculate the result:
23/7 - 39/7 = -16/7 or - 2 2/7
(3) Differentiating both sides of

with respect to <em>x</em> gives

Solve for d<em>y</em>/d<em>x</em> :

Then the slope of the tangent line to the curve at (1, 9) is

The equation of the tangent line would then be
<em>y</em> - 9 = -2/3 (<em>x</em> - 1) ==> <em>y</em> = -2/3 <em>x</em> + 29/3
(4) The slope of the tangent line to

at a point <em>(x, y)</em> on the curve is

When <em>x</em> = -1, we have a slope of 2/3, so
-(2<em>a</em> + 1)/(-1 - 2)² = 2/3
Solve for <em>a</em> :
-(2<em>a</em> + 1)/9 = 2/3
2<em>a</em> + 1 = -18/3 = -6
2<em>a</em> = -7
<em>a</em> = -7/2