Answer:
D) 
Step-by-step explanation:
<u>Vertex Form of a Vertical Parabola:</u>
Vertex -> 
Axis of Symmetry -> 
Vertical Scale Factor -> 
- To turn
into vertex form, we need to complete the square on the right side - Therefore, if
, then 
completes the square on the right side - This becomes
- This means that our function in vertex form is
Therefore, the vertex of the graph is 
.
Answer:
(4,5 feet)³=4,5³ cubic feet
Step-by-step explanation:
Answer:
Step-by-step explanation:
just multiply across
-k*7=-7k
5*5=25
hope this helps
Answer:
In mathematics, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. A theorem is hence a logical consequence of the axioms, with a proof of the theorem being a logical argument which establishes its truth through the inference rules of a deductive system. As a result, the proof of a theorem is often interpreted as justification of the truth of the theorem statement. In light of the requirement that theorems be proved, the concept of a theorem is fundamentally deductive, in contrast to the notion of a scientific law, which is experimental.
Step-by-step explanation:
Answer: the bridge is 11.025 m high
Step-by-step explanation:
Given that;
Time taken to hit the water t = 1.5 sec
height of bridge = ?
lets take a look at the equation of motion;
y(t) = y₀ + (1/2)at²
with initial velocity zero and we know that acceleration due to gravidity is 9.8m/s
we substitute
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(1.5) = 11.025 m
Therefore, the bridge is 11.025 m high
