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 
.
Answer:
$132
Step-by-step explanation:
1) In this system of eqn x represents the price of washing cars and y represents the price of washing SUVs
2) From the given eqn,
y = (84 - 4x)/2
and
y = (126 - 3x)/5
equating both the equation,
(84 - 4x)/2 = (126 - 3x)/5
=> 210 - 10x = 126 - 3x
=> 7x = 84
=> x = 12
=> y = (84 - 48)/2 = 18
Hence the co-ordinate of intersection will be (12,18)
3) The total cost of 1 car and 1 suv = x + y = 12 + 18 = $ 30
4) The total earning of hour 3
= 5x + 4y
= 5.12 + 4.18
= 60 + 72
= $ 132
Answer:
Denote O as center of circle, draw OA, OC.
As property of tangent line from outside of circle (angle OAD = angle OCD = 90 deg):
=> AOC + D = 180
Moreover, angle AOC = 2 x angle B = 2 x 65 = 130
=> D = 180 - 130 = 50 deg
Hope this helps!
:)
