Answer:
x = 4 + sqrt(73) or x = 4 - sqrt(73)
Step-by-step explanation by completing the square:
Solve for x:
(x - 12) (x + 4) = 9
Expand out terms of the left hand side:
x^2 - 8 x - 48 = 9
Add 48 to both sides:
x^2 - 8 x = 57
Add 16 to both sides:
x^2 - 8 x + 16 = 73
Write the left hand side as a square:
(x - 4)^2 = 73
Take the square root of both sides:
x - 4 = sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
x = 4 + sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
Answer: x = 4 + sqrt(73) or x = 4 - sqrt(73)
Answer:
x = 4 and y = 0
Step-by-step explanation:
Using the elimination method:
4(-x + 5y=-4) --> -4x + 20y = -16.
Now we add -4x + 20y = 016 and 4x + 3y = 16. This gives us 23y = 0 or just y =0.
Now we can find x by plugging in y.
-4x + 0 = -16.
Divide by -4 on both sides -> x = 4.
If you want to double check you can plug your values into -4x + 20y = -16.
-4(4) +20(0) = -16.
Answer:
Look below
Step-by-step explanation:
lets have -29 be y2 and -5 be x2
21 - (-)29
5 - (-)5
Subtracting a negative is just adding it so
21 + 29 50
5 + 5 10
50/10
this simplified, is 5/1 or 5
y=5x+b
now we need to find b, so we substitute y and y
x = 5
y = 21
21=5*5=b
5*5 is 25
now we need to get to 21
25 -4 is 21
b = -4
y=5x-4
Answer:
36 tiles
Step-by-step explanation:
Because the room is square, the numbers of tiles along the edge of the room were multiplied by the same number, meaning that:
81 = x²
So to find x, we must square root both sides of the equation:
x = 9
So the length of one side is 9 tiles. Now to calculate the circumference, as each side of a square is the same length, we can multiply this number by 4:
9 * 4 = 36
So there are 36 tiles along the edge of the room.
Hope this helps!
