The equation represents height as a function of time.
The bullet was in the air for 75 seconds.
The equation is given as:
The time spent in the air is the time it takes the bullet to land on the ground.
When the bullet is on the ground, the height is:
So, we have:
Factor out t
Split
or 
represents when the shot is fired.
So, we solve for t in
Collect like terms
Divide both sides by 16
Hence, the bullet was in the air for 75 seconds
Read more about height and time at:
brainly.com/question/2261757
Answer:
11.1 units
Step-by-step explanation:
We solve for this using the formula when using coordinates (x1 , y1) and (x2, y2)
= √(x2 - x1)² + (y2 - y1)²
A(5,2), B(5,4), and C(1,1).
For AB = √(x2 - x1)² + (y2 - y1)²
= A(5,2), B(5,4)
= √(5 - 5)² +(4 - 2)²
= √ 0² + 2²
= √4
= 2 units
For BC = √(x2 - x1)² + (y2 - y1)²
= B(5,4), C(1,1)
= √(1 - 5)² +(1 - 4)²
= √ -4² + -3²
= √16 + 9
= √25
= 5 units
For AC = √(x2 - x1)² + (y2 - y1)²
A(5,2), C(1,1)
= √(1 - 5)² + (1 - 2)²
= √-4² + -1²
= √16 + 1
= √17
= 4.1231056256 units
The Formula for the Perimeter of Triangle = Side AB + Side BC + Side AC
= 2 units + 5 units + 4.1231056256 units
= 11.1231056256 units.
Approximately the Perimeter of a Triangle to the nearest tenth = 11.1units
Answer:
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anything with = is an equation, without is expression.
For any exponential function, f(x) = abx, the range is the set of real numbers above or below the horizontal asymptote, y = d, but does not include d, the value of the asymptote.
Overall, the steps for algebraically finding the range of a function are:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x).
If you can't seem to solve for x, then try graphing the function to find the range.
Answer:
1 + i
Step-by-step explanation:
Given that A is a 3 * 3 singular matrix
one of its eigenvalue ( λ1 ) = 1 - i
Given that the determinant of a singular matrix is = 0
therefore the second eigen value ( λ2 ) = 1 + i
1 - i + 1 + i = 0
