Answer:
The maximum height is 784 feet
Step-by-step explanation:
In this problem we use the kinematic equation of the height h of an object as a function of time
Where 
is the initial velocity and 
is the initial height.
We know that
Then the equation of the height is:
For a quadratic function of the form 
where 
the maximum height of the function is at its vertex.
The vertice is
In this case
Then the vertice is:
Now we calculate h (6)
The maximum height is 784 feet
Answer:
<h2>54m²</h2>
Step-by-step explanation:
<h3>METHOD 1:</h3>
You can use the Heron's formula:
where
<em>p</em><em> - half of perimeter</em>
<em>a, b, c</em><em> - lengths of sides</em>
We have
Calculate:
<h3>METHOD 2:</h3>
Let's check that it is not a right triangle.
If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.
We have
Check:
This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.
The formula of an area of a right triangle is:
<em>a, b</em><em> - legs</em>
Substitute:
To find the product of <span>-2x^3+x-5 and x^3-3x-4, we need to multiply each term in the first polynomial by the second polynomial. (So, x^3 - 3x - 4) times ....
-2x^3 = -2x^6 + 6x^4 + 8x^3
x = x^4 - 3x^2 - 4x
-5 = -5x^3 + 15x + 20
If we add all these together, we get (-2x^6 + 7x^4 + 3x^3 - 3x^2 + 11x + 20)</span>
Answer:
x = 14 and y = 6
Step-by-step explanation:
To find the solution to this problem, we plug in the values of x and y from each answer choice and simplify.
1.
- (11) + (9) = 20. 20 = 20.
- (11) - (9) = 20. 2 ≠ 8.
2.
- (9) + (11) = 20. 20 = 20
- (9) - (11) = 20. -2 ≠ 8.
3.
- (14) + (6) = 20. 20 = 20.
- (14) - (6) = 8. 8 = 8.
4.
- (6) + (14) = 20. 20 = 20
- (6) - (14) = 8. -8 ≠ 8.
Therefore, the correct answer is x = 14 and y = 6.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
Prime numbers are numbers that cannot be divided into further whole numbers. You cannot divide 19 and 13 because 13 and 19 are already prime numbers.
Step-by-step explanation:
