Subtract sqrt(3) to both sides so that the equation becomes -3x^2 + 7x + 2 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [-b ± √(b^2 -4ac) ] / (2a)
x = [ -7 ± √((7)^2 - 4(-3)(2)) ] / ( 2(-3) )
x = [-7 ± √(49 - (-24) ) ] / ( -6 )
x = [-7 ± √(73) ] / ( -6)
x = [-7 ± sqrt(73) ] / ( -6 )
x = 7/6 ± -sqrt(73)/6
The answers are 7/6 + sqrt(73)/6 and 7/6 - sqrt(73)/6.
Answer:
B {6, 6, 7}
Step-by-step explanation:
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;
Let the side be ;
x, y and z
Then:
x > (y + z) or
y > (x + z) or
z > (x + y)
For A{2,5,9}
(2 + 5) < 9 (does not meet criteria)
For B {6,6,7}
(6 +6) > 7
(7 +6) > 6
Meets all criteria
For C {6,4,2}
(4 +2) is not greater Than 6 (does not meet criteria)
For D {7,8,1}
(7 +1) is not greater Than 8 ( does not meet criteria)
Answer:
B
Step-by-step explanation:
if its less than 1, the side lengths are smaller than the original.
Answer:
40 !
Step-by-step explanation:
Answer:
4/3 litres of water is enough to water 2/5 of the plants
Assuming the number of plants in the house is an unknown variable, take the value as x.
Thus, 4/3 litres is enough to water 2x plants in the house.
x = 4/3 ÷ 2
= 2/3 litres
Amount of water for all the plants = 5x = 5 × 2/3
= 10/3 litres
Thus, 10/3 litres of water is necessary to water all the plants in the house.
