Cosine law
a²=b²+c²-2ab*cosA
a²=13²+11²-2*13*11*cos(108)≈378.37
a≈19.45
Answer:
Mathematical domain is all numbers, as all numbers can be multiplied by 4. However, this is not reasonable as negative lengths don't exist, so the reasonable domain would be all positive numbers.
Answer:
c.
314 sq. cm
Step-by-step explanation:
Surface area of sphere:
The surface area of an sphere with radius r is given by:
Find the surface area of a sphere with a diameter 10 cm.
Radius is half the diameter, so 
The surface area is:
314 square centimeters, and option c is the answer.
Answer:
- parent: y = x²
- transformed: y = -3x² +4
Step-by-step explanation:
You have correctly recognized that the function is quadratic, so has parent function y = x².
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You may notice that the function drops by 3 units when x increases or decreases by 1 unit from the vertex. That factor (-3) is the vertical scale factor in the transformed function ...
f(x) = a(x -h)² +k
where "a" is the vertical scale factor and (h, k) is the location of the vertex of the transformed function.
We note that the graphed function has its vertex at (h, k) = (0, 4), so the complete transformed function with a=-3, h=0, k=4 is ...
f(x) = -3x² +4
