Answer: 36 cm
Step-by-step explanation:
Given : The square has a perimeter =160 cm.
Perimeter of square = 4 (side)
Therefore , the side of square = (Perimeter)÷ 4
= 160 ÷ 4 = 40 cm
The new length of side after dilation = (Scale factor) x (Length of original figure)
For scale factor = 0.9
The new length of each side of the dilated square = (0.9)x(40)=36 cm
Hence, the new length of each side of the dilated square= 36 cm
(0,-4) :) hope it helps :)
Answer:
7
Step-by-step explanation:
First, you need to plug in the values for x. Here, we know that x = 5. So, when we plug it in we get 2^5 - 5^2. When we simplify, we then get 32 - 25. Thus, 32 - 25 = 7.
Answer:
b. m can be any positive real number.
Step-by-step explanation:
Answer: The projectile reaches its maximum height after 20 seconds.
Step-by-step explanation:
Given the function:
![h(t) = -16t^2 + 640t](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%20%2B%20640t)
You can following formula (which gives the x -coordinate of the vertex of the parabola) in order to find after how many seconds the projectile takes to reach its maximum height:
![x=t=-\frac{b}{2a}](https://tex.z-dn.net/?f=x%3Dt%3D-%5Cfrac%7Bb%7D%7B2a%7D)
In this case you can identify that the values of "a" and "b" are:
![a=-16\\b=640](https://tex.z-dn.net/?f=a%3D-16%5C%5Cb%3D640)
Then, substituting values into the formula, you get the following result:
![t=-\frac{640}{2(-16)}\\\\t=20](https://tex.z-dn.net/?f=t%3D-%5Cfrac%7B640%7D%7B2%28-16%29%7D%5C%5C%5C%5Ct%3D20)
Therefore,based on this, the conclusion is: The projectile reaches its maximum height after 20 seconds.