Answer:
6y = 12x + 36 is x=
1
/2
y−3
15y = 45x + 60 is x=
1
/3
y+
−4
/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given a general quadratic formula given as ax²bx+c = 0
To generate the general formula to solve the quadratic equation, we can use the completing the square method as shown;
Step 1:
Bringing c to the other side
ax²+bx = -c
Dividing through by coefficient of x² which is 'a' will give:
x²+(b/a)x = -c/a
- Completing the square at the left hand side of the equation by adding the square of half the coefficient x i.e (b/2a)² and adding it to both sides of the equation we have:
x²+(b/a)x+(b/2a)² = -c/a+(b/2a)²
(x+b/2a)² = -c/a+(b/2a)²
(x+b/2a)² = -c/a + b²/4a²
- Taking the square root of both sides
√(x+b/2a)² = ±√-c/a + b²/√4a²
x+b/2a = ±√(-4ac+b²)/√4a²
x+b/2a =±√b²-4ac/2a
- Taking b/2a to the other side
x = -b/2a±√√b²-4ac/2a
Taking the LCM:
x = {-b±√b²-4ac}/2a
This gives the vertex form with how it is used to Solve a quadratic equation.
Answer:
48 yr. old
Step-by-step explanation:
Assume daughter is 4 and mom is 10 times her age, so mom is 40.
10 (woman) * 4 (daughter's age) = 40 yr. old mom
Present day...
40 (yr old mom) + 8 (yrs later) = 48 yr. old mom today
4 (yr old daughter) + 8 (yrs later) = 12 yr. old daughter today
So, if mom is 4 times as her daughter's age today...
48 (yr. old mom) / 12 (yr. old daughter) = 4
Museum C because for every 3 guests you pay $4(?) each.
3/4
12/16=3/4
18/24=3/4
Take the root of both sides, and solve.
x = 2i sqrt 2, -2i sqrt 2.
