Answer:
d. - 15
Step-by-step explanation:
The equation for direct variation is
y = kx
We know y =3 when x = -9
3 = k(-9)
Divide by -9
3/-9 = -9k/-9
-1/3 = k
The equation is then
y = -1/3 x
We know y = 5
5 = -1/3 x
Multiply each side by -3
-3*5 = -3*-1/3x
-15 = x
F ( x ) = k * x²
f ( 4 ) = 96
96 = k * 4²
96 = 16 k
k = 96 : 16
k = 6
f ( 2 ) = 6 * 2² = 6 * 4 = 24
ANSWER D
Answer:
1. d 2. a 3. d 4. a 5. a
Step-by-step explanation:
For 1, d is negative because, if there an even number of negatives, the answer will be positive. a. would have been correct, but you multiply that one by 0. 0 is not negative, so the answer has to be d.
2. is -21. You can multiply 3 times seven then make it negative, or simply add -7 together 3 times.
3. is d because the two negatives cancel each other out. Even numbers of negatives cancel each other out. therefore, 17 times 6 is 102.
4. -120 is the answer because there are 3 negatives. That is an odd number, so we know our answer is negative. -5 times -3 is 15, and 15 times -8 is -120.
5. is a because -1 times 4 is -4, then -4 times -9 is 36. 36 times -3 is then -108.
Sin 40° = h / 80 m
0.6427876 = h / 80 m
h = 0.6427876 · 80 m
h = 51.423 m ≈ 50 m ( to the nearest 10 m )
Answer:
The height of the kite is about 50 m.
