Answer:
Mean =
= 52. 42
Step-by-step explanation:

In radical form, the shortest distance from ( -4 , 4 ) and the line y = -2x + 6 is
2√5 units.
Attached below is the calculation to arrive at the answer as well as a graph.
Answer:

Step-by-step explanation:
The equation of the curve is

To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is 
Then slope would accordingly be

= ∞
For,
, 
Equation of tangent line, in the point slope form, would be 
Answer:
6 = 413 is a not true statement
Step-by-step explanation:
I've attached my work below
Hope it helps, Let me know if you have any questions/concerns !
Have a nice rest of your day :)
Answer:
x = 2
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
.
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.