100/27Answer:
Step-by-step explanation:
Answer 100/27
<span>Given cotA + cotB + cotC = sqrt3
to prove triangle ABC is equilateral
we prove this by assuming ABC to be equialteral and establishing the truth
of the statement cotA + cotB + cotC =sqrt3
since ABC is equialteral angleA=angleB=angleC=60 degrees
cotA=cotB=CotC = cot60= 1/sqrt3
therefore cotA + cotB + cotC = 1/sqrt3 + 1/sqrt3 + 1/sqrt3
=3/sqrt3
=sqrt3 which is equal to the RHS ( right hand side) of the expression
hence our assumption that ABC is equilateral is true</span>
Answer:
1
Step-by-step explanation:
The quadratic relation is a perfect square:
y = (7x +3)²
so has one zero, where the factor is zero:
7x +3 = 0
7x = -3
x = -3/7
_____
It is useful to have handy reference to the form of the square of a binomial:
(a +b)² = a² +2ab +b²
Here, your first clue is that 49x² and 9 are both perfect squares: (7x)² and (3)². It is easy to check that the middle term is twice the product of these roots:
2(7x)(3) = 42x . . . . matches the middle term
So, the given expression is equivalent to ...
y = (7x +3)²
You need 3/5 of the 35 gallons of paint, so all you need to do is divide 35 by 5 to get 7 and multiply that by 3 to get 21. 3/5 of 35 is 21. Then, if each gallon is $22, you just multiply 21x22 to get your cost.
Answer:
1/2x
Step-by-step explanation:
Slope is
Rise over run In a fraction the rise is the numerator and the run is the denominator
From getting one point to another
You rise 1 and run 2
Which is the equivalent of 1/2