Answer:
To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.
Answer: country carpets are cheaper
Step-by-step explanation:
Answer:
and 
.
Step-by-step explanation:
The equation can be simplified with the help of trigonometric identities:
Which means that equation is equal to zero if any component of the product is zero. The solutions of the expression are:
a) 
b) 
Any value different of both subsets do not satisfy the equation described above.
Answer:
A. 2.5 b. 3 c. 3.5 d. 2 + .5m = CPS ( character per second)
Step-by-step explanation:
Answer:
9m ×5m
Step-by-step explanation:
Area of a rectangle= length ×width
Let the width be W meters and the length be L meters.
2 equations can be written from the given information:
45= WL -----(1)
L= W +4 -----(2)
Substitute (2) into (1):
45= W(W +4)
<em>Expand:</em>
45= W² +4W
<em>-45 on both sides:</em>
W² +4W -45= 0
<em>Factorise:</em>
(W +9)(W -5)= 0
W+9=0 or W-5=0
W= -9 or W= 5
(reject)
Substitute W= 5 into (2):
L= 5 +4
L= 9
∴ The dimensions of the garden is 9m ×5m.
