Answer:
1. B
2. B
Step-by-step explanation:
** Attached picture of the situation
The bird caught the fish at point A, flew until B (which is 100 yds away, dropped the fish at C (which is horizontally 50 yards from A).
1.
We want the angle that the bird creates with the water (horizontal). It is angle BAC. With respect to the right triangle, we can say that we know "hypotenuse" and "adjacent" side to angle BAC. cosine relates hypotenuse and adjacent, thus we can write:
correct answer is B
2.
Here, we want to find the distance (length) of segment BC. With respect to the angle BAC (we found to be 60), we can say BC is "opposite". We know hypotenuse to be 100. So let's use sine, since sine is ratio of opposite to hypotenuse. Thus, we can write:
correct answer is B
Answer:-3
Step-by-step explanation:
y=3x+2................(1)
y=x-4......................(11)
Subtract (11) from (1)
y-y=3x-x+2-(-4)
0=2x+2+4
0=2x+6
Collect like terms
0-6=2x
-6=2x
Divide both sides by 2
-6/2=2x/2
-3=x
x=-3
Answer:
for number one the answer is no for 7 the answer is 5 seconds
Step-by-step explanation:
Answer:
1st question: y=1/3x-1
2nd question: y=-2/3x+9
Step-by-step explanation:
Y=mx+b form is what you are using
when a line in parallel to a line they have the same slop wich is m
when a line in perpendicular they have the opposite reciprocal
Examples: 2/5 opposite reciprocal would be -5/2
Answer:
3(a - b)(a + b)
Step-by-step explanation:
Factorize: (2a - b)² - (a - 2b)²
- Different of Perfect a Square rule: a² - b² = (a + b)(a - b)
(2a - b)² - (a - 2b)² = [(2a - b) + (a - 2b)] × [(2a - b) - (a - 2b)]
1. Distribute and Simplify:
Distribute the (+) sign on the first bracket and simplify: [(2a - b) + (a - 2b)] → 2a - b + a - 2b → (3a - 3b)
Distribute the (-) sign on the first bracket and simplify: [(2a - b) - (a - 2b)] → 2a - b – a + 2b → (a + b)
We now have:
(3a - 3b)(a + b)
2. Factor out the Greatest Common Factor (3) from 3a - 3b:
(3a - 3b) → 3(a - b)
3. Add "(a + b)" back into your factored expression:
3(a - b)(a + b)
Hope this helps!
