Answer:
<h2>
<u>-1 + √3 or -(1 - 2√3)</u></h2>
Step-by-step explanation:
(1 + √3) (2 - √3) = 2 - √3 + 2√3 - 3 = 2 - 3 - √3 + 2√3 = <u>-1 + √3 or -(1 - 2√3)</u>
The equivalent decimal is 61.(3)
Answer:
y =-2x+7
Step-by-step explanation:
Hello : let A(2,3) B(1,5)
the slope is : (YB - YA)/(XB -XA)
(5-3)/(1-2) = 2/-1 =-2
an equation is : y=ax+b a is a slope
y = -2x +b
the line through point (2,3) : 3 = (-2)(2)+b
b = 7
the equation is : y =-2x+7
5% interest compounded annually for 3 years multiplies the initial balance by
... 1.05^3 = 1.157625
5% simple interest for 3 years multiplies the initial balance by 1 + 3*0.05 = 1.15.
The difference of these multipliers is
... 1.157625 - 1.15 = 0.007625
If the difference in account balance is Rs 61.00, then the invested principal amount P is
... P*0.007625 = 61.00
,.. P = 61.00/0.007625 = 8000.00
The sum of money is Rs 8000.
Using Pythagoras's theorem, we can get that 60 inches is the hypotenuse and 52 inches is one of the legs. 60^2 - 52^2 = b^2, where b is the leg that we are trying to find, aka the length of the shadow. We find that b^2 = 896. The square root of 896 is closest to 30 inches, therefore the answer is A) 30 inches
