Answer:
I might be wrong, but I'll help anyway.
Step-by-step explanation:
The is either 2700 or 640.
Let the length of the playground be x, then the width is 6 + x.
Area = length * width = x * (6 + x) = 6x + x^2 = 216
Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18
i.e length = 12 and width = 6 + 18 = 18
Perhaps the most concise way to factor is by "completing the square" which is how the quadratic formula is derived...
x^2+6x+8=0 move constant to other side, subtract 8 from both sides
x^2+6x=-8, halve the linear coefficient, square it, then add that to both sides, in this case (6/2)^2=3^2=9
x^2+6x+9=1 now the left side is a perfect square of the form
(x+3)^2=1 take the square root of both sides
x+3=±√1 subtract 3 from both sides
x=-3±√1
x=-3±1
x=-4 and -2
Since the zeros occur when x=-4 and -2 the factors of the equation are:
(x+2)(x+4)
Answer:
5) x = 1, y = -3
6) x = -20, y = 2
7) infinite solutions
8) no solutions
Step-by-step explanation:
5)
y = 5x - 8
y = -6x + 3
5x - 8 = -6x + 3
11x = 11
x = 1
y = 5 - 8
y = -3
6)
2x + 10y = -20
-x + 4y = 28
2x = -20 - 10y
x = - 10 - 5y
-x = 28 - 4y
x = -28 + 4y
-10 - 5y = -28 + 4y
-10 + 28 = 4y + 5y
18 = 9y
2 = y
2x + 20 = -20
2x = -40
x = -20
7)
this has infinite solutions because one equation is a simplified version of the other
8)
this has no solutions because 5 does not equal -5
9)
I can't graph on brainly, hope this helped though
Answer:
32, 46
Step-by-step explanation:
Remember, a is congruent to b modulo d if d divides a-b.
Now, the problem says that b=4 and d=14.
Let a=32. Observe that a-b=28 and 
, then 32 is congruent to 4 modulo 14.
Let a=46. Observe that a-b=46-4=42 and 
, then 46 is congruent to 4 modulo 14.
