Answer: (a)
Step-by-step explanation:
Given
The pattern is 2, 4, 16, 256...
From the pattern, we can see that the next term is square of the previous i.e.
So, for the term, the function is
For the next term, it is
So,
If f(-2)=1 and f(1) = 7, then 2 pts on the str. line are (-2,1) and (1,7).
7 - 1
The slope of the line connecting these 2 pts is m = ---------- = 6/3 = 2
1-(-2)
Use the slope-intercept formula. Let the point be (1,7) and the slope be 2:
7 = 2(1) + b; find the y-intercept, b:
7 = 2 + b, so b = 5, and the equation of this line through the 2 given points is then
y = 2x + 5 (answer)
Answer:
Step-by-step explanation:
For question #1:
For question #2:
Answer:
b
Step-by-step explanation: she misses 5 shots so her score after is -10
its not a) because 5(-10) = -50
its not c) because there is no negative
its not d) because that would equal -50
Answer:
b. about 91.7 cm and 44.6 cm
Step-by-step explanation:
The lengths of the diagonals can be found using the Law of Cosines.
Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).
For diagonal "d" and sides "a" and "b" and corner angle D, we have ...
d² = a² +b² -2ab·cos(D)
The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...
d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)
d² ≈ {1988.2, 8411.8}
d ≈ {44.6, 91.7} . . . . centimeters
The diagonals are about 91.7 cm and 44.6 cm.