Answer: (c)
Step-by-step explanation:
Given
The function is ![y=-x^2+6x-4](https://tex.z-dn.net/?f=y%3D-x%5E2%2B6x-4)
Range of a function describes the values y can take
from the graph it is clear that the maximum value of y is 5
![\therefore y\leq5](https://tex.z-dn.net/?f=%5Ctherefore%20y%5Cleq5)
Hence. option (c) is correct.
Difference
1 2 3 4 5 ... n
difference is 1
Answer:
1 : 2
Step-by-step explanation:
Since the quadrilaterals are similar then the ratios of corresponding sides are equal, that is
=
= ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Thus the ratio of perimeters is also 1 : 2
Answer:
![9\ m/s^2](https://tex.z-dn.net/?f=9%5C%20m%2Fs%5E2)
Step-by-step explanation:
For a moving object, the force acting on the object varies directly with the object's acceleration.
F ∝ a
or
![\dfrac{F_1}{a_1}=\dfrac{F_1}{a_2}](https://tex.z-dn.net/?f=%5Cdfrac%7BF_1%7D%7Ba_1%7D%3D%5Cdfrac%7BF_1%7D%7Ba_2%7D)
Put F₁ = 8 N, a₁ = 4 m/s², F₂ = 18 N and a₂ = ?
Put all the values,
![\dfrac{8}{4}=\dfrac{18}{a_2}\\\\2=\dfrac{18}{a_2}\\\\a_2=9\ m/s^2](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B4%7D%3D%5Cdfrac%7B18%7D%7Ba_2%7D%5C%5C%5C%5C2%3D%5Cdfrac%7B18%7D%7Ba_2%7D%5C%5C%5C%5Ca_2%3D9%5C%20m%2Fs%5E2)
So, the new acceleration is
.