Answer:
u as the subject of the given formula is, ![u = \sqrt{v^{2}-2as }](https://tex.z-dn.net/?f=u%20%3D%20%5Csqrt%7Bv%5E%7B2%7D-2as%20%7D)
Step-by-step explanation:
Given;
v² = u²+2as
To make u the subject of the formula, the following steps are taken;
v² = u²+2as
v² - 2as = u²
take the square - root of both sides of the equation;
![\sqrt{u^{2} } = \sqrt{v^{2}-2as } \\\\u = \sqrt{v^{2}-2as }](https://tex.z-dn.net/?f=%5Csqrt%7Bu%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7Bv%5E%7B2%7D-2as%20%7D%20%5C%5C%5C%5Cu%20%3D%20%5Csqrt%7Bv%5E%7B2%7D-2as%20%7D)
Thus, u as the subject of the given formula is, ![u = \sqrt{v^{2}-2as }](https://tex.z-dn.net/?f=u%20%3D%20%5Csqrt%7Bv%5E%7B2%7D-2as%20%7D)
Answer:
10:5 can be simplified both numbers are divisible by 5
10/5=2 5/5=1
2:1
Step-by-step explanation:
241 + 800 = 1041
247 + 794 = 1041
Answer: ![0=2x^2-7x-9\\0=4x^2-3x-1\\0=x^2-2x-8](https://tex.z-dn.net/?f=0%3D2x%5E2-7x-9%5C%5C0%3D4x%5E2-3x-1%5C%5C0%3Dx%5E2-2x-8)
Step-by-step explanation:
We know that the standard quadratic equation is ax^2+bx+c=0
Let's compare all the given equation to it and , find discriminant.
1. a=2, b= -7, c=-9
So it has 2 real number solutions.
2. a=1, b=-4, c=4
![b^2-4ac=(-4)^2-4(1)(4)=16-16=0](https://tex.z-dn.net/?f=b%5E2-4ac%3D%28-4%29%5E2-4%281%29%284%29%3D16-16%3D0)
So it has only 1 real number solution.
3. a=4, b=-3, c=-1
![b^2-4ac=(-3)^2-4(4)(-1)=9+16=25>0](https://tex.z-dn.net/?f=b%5E2-4ac%3D%28-3%29%5E2-4%284%29%28-1%29%3D9%2B16%3D25%3E0)
So it has 2 real number solutions.
4. a=1, b=-2, c=-8
So it has 2 real number solutions.
5. a=3, b=5, c=3
![b^2-4ac=(5)^2-4(3)(3)=25-36=-9](https://tex.z-dn.net/?f=b%5E2-4ac%3D%285%29%5E2-4%283%29%283%29%3D25-36%3D-9%3C0)
Thus it does not has real solutions.