Answer:
columbia- 1
vene-2
brazil- 3
peru- 4
Step-by-step explanation:
Given:
In the given figure,
, WS = 5, WR = 4x+3, RT=7x+3 and VT=8.
To find:
The measure of WR and RT.
Solution:
In triangles WRS and TRV,
(Given)
(Vertically opposite angles)
(AA property of similarity)
We know that the corresponding sides of similar triangles are proportional. So,
![\dfrac{WR}{WS}=\dfrac{RT}{VT}](https://tex.z-dn.net/?f=%5Cdfrac%7BWR%7D%7BWS%7D%3D%5Cdfrac%7BRT%7D%7BVT%7D)
![\dfrac{4x+3}{5}=\dfrac{7x+3}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7B4x%2B3%7D%7B5%7D%3D%5Cdfrac%7B7x%2B3%7D%7B8%7D)
![8(4x+3)=5(7x+3)](https://tex.z-dn.net/?f=8%284x%2B3%29%3D5%287x%2B3%29)
![32x+24=35x+15](https://tex.z-dn.net/?f=32x%2B24%3D35x%2B15)
Isolate the variable x.
![24-15=35x-32x](https://tex.z-dn.net/?f=24-15%3D35x-32x)
![9=3x](https://tex.z-dn.net/?f=9%3D3x)
Divide both sides by 3.
![\dfrac{9}{3}=x](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B3%7D%3Dx)
![3=x](https://tex.z-dn.net/?f=3%3Dx)
Now,
![WR=4x+3](https://tex.z-dn.net/?f=WR%3D4x%2B3)
![WR=4(3)+3](https://tex.z-dn.net/?f=WR%3D4%283%29%2B3)
![WR=12+3](https://tex.z-dn.net/?f=WR%3D12%2B3)
![WR=15](https://tex.z-dn.net/?f=WR%3D15)
And,
![RT=7x+3](https://tex.z-dn.net/?f=RT%3D7x%2B3)
![RT=7(3)+3](https://tex.z-dn.net/?f=RT%3D7%283%29%2B3)
![RT=21+3](https://tex.z-dn.net/?f=RT%3D21%2B3)
![RT=24](https://tex.z-dn.net/?f=RT%3D24)
Therefore, the measure of WR is 15 units and the measure of RT is 24 units.
Answer:
The function is maxima at x = 0.
Step-by-step explanation:
the function is
![f(x) = x^4 - 8 x^2 + 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E4%20-%208%20x%5E2%20%2B%203)
Differentiate with respect to x.
![f'(x) = 4x^3 - 16 x\\\\Put f'(x) = 0 \\\\4x(x^2-4)=0\\\\4 x(x +2)(x-2) =0\\\\x = 0, - 2 , 2 Now f''(x) = 12 x^2 - 16 \\\\f''(0) = - 16 = negative \\\\f''(-2) = 12(-2)^2 - 16 = 32\\\\f''(2)=12(2)^2 - 16 = 32](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%204x%5E3%20-%2016%20x%5C%5C%5C%5CPut%20f%27%28x%29%20%3D%200%20%5C%5C%5C%5C4x%28x%5E2-4%29%3D0%5C%5C%5C%5C4%20x%28x%20%2B2%29%28x-2%29%20%3D0%5C%5C%5C%5Cx%20%3D%200%2C%20-%202%20%2C%202%20Now%20f%27%27%28x%29%20%3D%2012%20x%5E2%20-%2016%20%5C%5C%5C%5Cf%27%27%280%29%20%3D%20-%2016%20%3D%20negative%20%5C%5C%5C%5Cf%27%27%28-2%29%20%3D%2012%28-2%29%5E2%20-%2016%20%3D%2032%5C%5C%5C%5Cf%27%27%282%29%3D12%282%29%5E2%20-%2016%20%3D%2032)
So, the function is maima at x = 0 .
Answer:
i think it is A
Step-by-step explanation:
sorry if i am wrong...hope this helped, also can i have brainliest pls?
Answer:
Խնդրում եմ, տվեք ինձ ամենախելամիտը
Step-by-step explanation: