Answer:
it is 34
Step-by-step explanation:
Answer:
and 
Step-by-step explanation:
The equation of curve is

We need to find the equation of the tangent line to the curve at the point (-3, 1).
Differentiate with respect to x.
![2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})](https://tex.z-dn.net/?f=2%5B2%28x%5E2%2By%5E2%29%5Cfrac%7Bd%7D%7Bdx%7D%28x%5E2%2By%5E2%29%5D%3D25%282x-2y%5Cfrac%7Bdy%7D%7Bdx%7D%29)

The point of tangency is (-3,1). It means the slope of tangent is
.
Substitute x=-3 and y=1 in the above equation.





Divide both sides by 130.

If a line passes through a points
with slope m, then the point slope form of the line is

The slope of tangent line is
and it passes through the point (-3,1). So, the equation of tangent is


Add 1 on both sides.


Therefore,
and
.
Answer:
44%
Step-by-step explanation:
you add up all the numbers to get the total then divied the single number (eg. 8) by the total. It will then show up as a decimal so in order to get rid of the decimal you multiply by 100. ( eg. 8 ÷50=0.16 → 0.16×100= 16 → 16% )
Answer:
75 cubic units
Step-by-step explanation:
Bottom layer of a rectangular prism is made up of 15 unit cubes.
Therefore, area of the 15 unit cubes = 15(area of the base of one unit cube)
= 15(1)²
= 15 unit²
Number of layers of unit cubes in the rectangular prism = 5
So the height of the prism = 5 units
Volume of the prism = (Area of the base) × Height
= 15 × 5
= 75 cubic unit