Answer:
x=2
ab=7
bc=5
Step-by-step explanation:
because you do
2x+3 = 4x+3
-3 -3
2x=4x
-2x -2x
x = 2
2x2+3
4+3
=7
4x2-3
8-3
=5
Since A and B are parallel lines, the two marked angles are congruent.
Then, 2x + 12 = x + 25
We can solve for x:
x = 13
Answer:
Time to land on 11ft is 4.25 seconds
Step-by-step explanation:
Given
![y = 300 - 16t^2](https://tex.z-dn.net/?f=y%20%3D%20300%20-%2016t%5E2)
Required
Solve for t when height is 11ft
This implies that ![y = 11](https://tex.z-dn.net/?f=y%20%3D%2011)
So: substitute 11 for y in ![y = 300 - 16t^2](https://tex.z-dn.net/?f=y%20%3D%20300%20-%2016t%5E2)
![11 = 300 - 16t^2](https://tex.z-dn.net/?f=11%20%3D%20300%20-%2016t%5E2)
Collect Like Terms
![16t^2 = 300 - 11](https://tex.z-dn.net/?f=16t%5E2%20%3D%20300%20-%2011)
![16t^2 = 289](https://tex.z-dn.net/?f=16t%5E2%20%3D%20289)
Express both sides as squares
![4^2 * t^2 = 17^2](https://tex.z-dn.net/?f=4%5E2%20%2A%20t%5E2%20%3D%2017%5E2)
![(4t)^2 = 17^2](https://tex.z-dn.net/?f=%284t%29%5E2%20%3D%2017%5E2)
Take square roots of both sides (ignore negative)
![4t = 17](https://tex.z-dn.net/?f=4t%20%3D%2017)
Solve for t
![t = \frac{17}{4}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B17%7D%7B4%7D)
![t = 4.25](https://tex.z-dn.net/?f=t%20%3D%204.25)
Hence, time to land on 11ft is 4.25 seconds
Answer:
Rational numbers
Step-by-step explanation:
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.
Answer:
13+37=50
Step-by-step explanation: