AQ : QE = 2 : 1 ( property of a centroid of a triangle)
Therefore 2/1 = 18 / QE
2QE = 18
QE = 9 (answer)
Given:
To find:
The value of given expression by using the Laws of Exponents.
Solution:
We have,
Using the Laws of Exponents, we get
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
![[\because \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cleft%28%5Cdfrac%7Ba%7D%7Bb%7D%5Cright%29%5En%3D%5Cdfrac%7Ba%5En%7D%7Bb%5En%7D%5D)
Therefore, the value of given expression is 
.
The sum of 3a²-a-3 and 2a-9 is 3a²+a-12
3a²+a-12 - (a²-3a-7) = 3a²+a-12 - a² + 3a + 7 =
2a² +4a - 5
The two numbers are -18+ 2√(11) and -18 -2√(11).
-18+ 2√(11)+ [-18 -2√(11)]= -36
[-18+ 2√(11)]* [-18 -2√(11)]= 280.
Hope this helps~
Answer:
breadth = 10 cm
length = 13 cm
Step-by-step explanation:
so,
perimeter = 46cm
2(l+b) = 46cm
or, 2(3+b+b) = 46cm ( because l = 3+b)
or, 2(3+2b) = 46cm
or, 6 + 4b = 46cm
or, 4b = 46cm - 6
or, 4b = 40cm
or, b = 40/4 cm
so, b = 10 cm
now,
l = 3cm + b
l = 3 cm + 10cm
= 13cm
