Use identity -
(a+b)² = a²+b²+2ab
(5+√3)² = 5²+(√3)² + 2(5)(√3)
= 25 + 3 + 10√3
= 28 + 10√3
= 2(14+ 5√3)
Answer:
2x^2=3x+2
2x^2-3x-2=0
(x-2)(x+1/2)=0
x=2 or x=-1/2
The sum of 2 solution 2+-1/2=3/2
Step-by-step explanation:
The work and answer provided are correct, the simpler way of doing it is
1)
1/6 page written in 1/12 of a minute
to write a full page, you would need to write 1/6, 6 times
so,

and

so it takes 1/2 of a minute to write a full page, there are 60 seconds in a minute, 1/2 of 60 seconds is 30 seconds
same process works for question 2(use 3 instead of 6 though)
Answer:
C
Step-by-step explanation:
To form a proportion, you need two equal ratios.
Divide the numerator by the denominator of all fractions.
Any two fractions that are equal are a proportion.
A.
4/9 = 0.4444...
9/4 = 2.25
Fractions are not equal. Not a proportion.
B.
4/10 = 0.4
10/25 = 0.4
Fractions are equal. Proportion
C.
4/11 = 0.363636...
6/13 = 0.46153846...
Fractions are not equal. Not a proportion.
D.
I can't read the fractions, but do the same I did above.
Divide each numerator by the denominator and compare the decimals. If they are equal its a proportion. If theya re not equal, it is not a proportion.