When a quadratic equation ax^2+bx+c has a double root, the discriminant,
D=b^2-4ac=0
Here
a=2,
b=b,
c=18
and
D=b^2-4ac=b^2-4*2*18=0
solve for b
b^2-144=0
=> b= ± sqrt(144)= ± 12
So in order that the given equation has double roots, the possible values of b are ± 12.
60/15 is 4
16/4 is 4
in 15 minutes, he or she runs 4km
4 times .621 is about 2.5 miles
hope this helps:)
Answer:
A
Step-by-step explanation:
because it is is parenthesis
Answer:
- equation: (7x-4) +19 +(10x+3) = 52
- x = 2
- red: 10
- blue: 19
- yellow: 23
Step-by-step explanation:
The equation is based on the relation that the perimeter is equal to the sum of the side lengths.
P = red + blue + yellow
52 = (7x -4) +(19) +(10x +3)
52 = 17x +18 . . . . . . . . . . . . . . simplify
34 = 17x . . . . . . . . . . . . . subtract 18
2 = x . . . . . . . . . . . . divide by 17
__
red = 7(2) -4 = 10
blue = 19
yellow = 10(2) +3 = 23
Answer:
dogs - 13
cats - 39
Step-by-step explanation:
Let the number of dogs Ma Bernier have be represented with d
She has 3 times as many cats as dogs, the number of cats she has :
cats = 3d
The sum of the cats and dogs is 52
d + 3d = 52
4d = 52
divide both sides of the equation by 4
d = 13
She has 13 dogs
Cats = 3d
= 3 x 13 = 39
