The app will only let me give one photo at a time, so here's part 1.
The two pairs are Pythagorean triples because if you plug the two legs of a right triangle into the Pythagorean theorem(A^2+B^2=C^2), then you will find the measurement for the third side(hypotenuse). i.e. 15^2+12^2=9^2(it's the Pythagorean triple 3,4,5 multiplied by 3). This works with any triple, as long as your using the legs of the triangle and as long as the triangle is a right triangle.
Answer:
So, equation using the given information
:
5 is subtracted from a number the result is the same as the number tripled will be: x-5=3x
Step-by-step explanation:
We need to make an equation of: 5 is subtracted from a number the result is the same as the number tripled.
Let, the number be x
5 is subtracted from a number will be: x-5
The number tripled will be: 3*x
The required equation will be:
x-5=3x
So, equation using the given information
:
5 is subtracted from a number the result is the same as the number tripled will be: x-5=3x
Answer:
It isn't a number so you would call it undefined
You can think of it like 14 divided by 0 and like siri said “Imagine that you have zero cookies, and you split them evenly among zero friends. How many cookies does each person get? See? It doesn’t make sense. And Cookie Monster is sad that there are no cookies, and you are sad that you have no friends.” In this case, “Imagine that you have 14 cookies, and you split them evenly among zero friends. How many cookies does each person get? See? It doesn’t make sense. And Cookie Monster is happy he gets 14 cookies, and you are sad that you have no friends.”
Answer:
Option B. 1.8 seconds
Step-by-step explanation:
h=-16t^2+56t+1
This is a quadratic equation, and its graph is a parabola
h=at^2+bt+c; a=-16, b=56, c=1
Like a=-16<0 the parabola opens downward, and it has a maximum value (height) at the vertex, at the abscissa:
![t=-\frac{b}{2a}](https://tex.z-dn.net/?f=t%3D-%5Cfrac%7Bb%7D%7B2a%7D)
Replacing the known values:
![t=-\frac{56}{2(-16)}\\ t=-\frac{56}{(-32)}\\ t= 1.75](https://tex.z-dn.net/?f=t%3D-%5Cfrac%7B56%7D%7B2%28-16%29%7D%5C%5C%20t%3D-%5Cfrac%7B56%7D%7B%28-32%29%7D%5C%5C%20t%3D%201.75)
Approximately 1.8 seconds.
Answer: It takes approximately 1.8 seconds the airplane to reach its maximum height.