Answer:
Step-by-step explanation:
Answer:
19.5
Step-by-step explanation:
Answer:
y = -1/√3 (x − 4)
Step-by-step explanation:
Let's say the point where the tangent line intersects the circle is B (bₓ, bᵧ). Therefore:
bₓ² + bᵧ² = 4
The slope of the tangent line at that point is dy/dx, which we can find with implicit differentiation:
x² + y² = 4
2x + 2y dy/dx = 0
2y dy/dx = -2x
dy/dx = -x/y
At point B, the slope of the tangent line is m = -bₓ/bᵧ.
We can also write that as the slope between the points A(4, 0) and B(bₓ, bᵧ).
m = (bᵧ − 0) / (bₓ − 4)
m = bᵧ / (bₓ − 4)
Setting the expressions equal:
-bₓ / bᵧ = bᵧ / (bₓ − 4)
bᵧ² = -bₓ (bₓ − 4)
bᵧ² = 4 bₓ − bₓ²
Substituting this into the first equation:
bₓ² + (4 bₓ − bₓ²) = 4
4 bₓ = 4
bₓ = 1
Therefore, bᵧ = √3. So the slope of the line is -1/√3. The equation of the line is:
y − 0 = -1/√3 (x − 4)
y = -1/√3 (x − 4)
Graph: desmos.com/calculator/sornb1ajgp
A. 2.4971.1 in because that is the biggest number compared to all of the others which will make it the tallest and closest to the surface of the yoga ball.
A,H,I,M,O,T,U,V,W,X,Y --- these have vertical symmetry
a word whose reflection is also a word....YAM and MAY