Step-by-step explanation:
x^2 + 8x + 0 = 0
Completing the square just means getting yourself a perfect square trinomial on the left side of your equation. It makes factoring easier for you. The steps are like this:
x² + 8x + 0 = 0 ... take the middle coefficient, 8, divide it by 2, and square it. Same process every time. Divide middle by two, square it. This gives you the "perfect square" of your equation. In this case, 8/2 = 4, and 4² = 16. So what you do is add 16 to BOTH sides of the equation.
x² + 8x + 16 = 16 ... factor the left side
(x + 4)(x + 4) = 16 ... notice that your two factors on the left are identical
(x + 4)² = 16 ... now we want to solve for x. Start by taking the square root of both sides
x + 4 = √16 ... √16 can give us two results: -4 and 4. So solve for both.
x + 4 = 4 x + 4 = -4 ... solve for x
x = 0, x = -8
Answer:
Step-by-step explanation:
Add the total number of students:
Boys: 8, + Girls: 12 = 20 students
of the students are girls
6/10 also equates to 60%, which is the percent of girls in the class.
One number = x
Another number = y
x = y + 5
x + y = 37
(y + 5) + y = 37
2y + 5 = 37
2y = 32
y = 16
x = (16) + 5
x = 21
The numbers are 16 and 21.
Answer:
C
Step-by-step explanation:
i belive it is C because if you look at it your just multiplying by 4 hope this helps!!! :D
Answer:
h = 55
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
the 2 unknown interior angles = 180 - 2h ( straight angle ), hence
the sum of the 3 angles
180- 2h + 180 - 2h + 40 = 180
400 - 4h = 180 ( subtract 400 from both sides )
- 4h = - 220 ( divide both sides by - 4 )
h = 55
