Answer:
y + 4 = -3 (x - 5)
In other words,
y = -3 x + 11
Step-by-step explanation:
The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.
The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).
Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,
What will be the equation of this line?
Answer:
.
Step-by-step explanation:
The given conic has equation;

Divide through by 9.

.
This is an ellipse centered at the origin;
This ellipse has been translated so that the center is now at;

The translated ellipse has equation;
.
Clear the fraction;
.
Expand;
.
.
Write in general form;
.
.
The correct choice is D
Answer:
Ok so the area of the frame is 18*12 = 216cm^2
Let’s suppose the width of the frame is x
The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432
4x^2 + 60x + 216 = 432
4x^2 + 60x - 216 = 0
x^2 + 15x - 54 = 0
(x+18)(x-3) = 0
Therefore x = {-18,3}
Since width of the frame has to be positive, the width has to be 3cm Step-
i hope i helped!
Answer:
4xπ^3
Step-by-step explanation:
If you're finding slope, the answer is 5/3