There's a trick to solve these graph questions
Solve the given quadratic equations in the options , the points which match with the changed graph will be the final option
if you solve the first option F(x) = x2-2
you'll get x = +2 and -2
as you can see , the Fx graph cuts the x axis at +2 and -2 and thus option A is correct
thankyou
Picking up 8 boxcars after 5 stops makes a total of 40 new boxcars . . . add the original 3 engines, 52 boxcars, and 1 caboose to get a total of . . . 3 + 52 + 1 + 8 + 8 + 8 + 8 + 8 = 96 total cars
Answer:
The length of AE is 11.8 units.
Step-by-step explanation:
Given the triangle ABC, E∈ AB m∠ABC=m∠ACE AB=34, AC=20. we have to find the length of side AE.
In ΔACE and ΔABC
∠A=∠A (Common)
∠ABC=∠ACE (Given)
∴ By AA similarity, ΔACE is similar to ΔABC
Hence by triangle proportionality theorem,
![\frac{CE}{BC}=\frac{AE}{AC}=\frac{AC}{AB}](https://tex.z-dn.net/?f=%5Cfrac%7BCE%7D%7BBC%7D%3D%5Cfrac%7BAE%7D%7BAC%7D%3D%5Cfrac%7BAC%7D%7BAB%7D)
⇒ ![\frac{AE}{AC}=\frac{AC}{AB}](https://tex.z-dn.net/?f=%5Cfrac%7BAE%7D%7BAC%7D%3D%5Cfrac%7BAC%7D%7BAB%7D)
⇒ ![\frac{AE}{20}=\frac{20}{34}](https://tex.z-dn.net/?f=%5Cfrac%7BAE%7D%7B20%7D%3D%5Cfrac%7B20%7D%7B34%7D)
⇒ ![AE=\frac{20}{34}\times 20=\frac{400}{34}=11.8units](https://tex.z-dn.net/?f=AE%3D%5Cfrac%7B20%7D%7B34%7D%5Ctimes%2020%3D%5Cfrac%7B400%7D%7B34%7D%3D11.8units)
Answer: the answer is 7°
Step-by-step explanation: