Step-by-step explanation:
Answer:
the base of the window is 5.5 or 5 1/2 ft
Step-by-step explanation:
a = bh
h = b/a
25 2/3 divided by 4 2/3 is 5.5
or
5 1/2
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Answer:
Step-by-step explanation:
it is an adjacent/linear pair
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:
The answer to your question is below
Step-by-step explanation:
a) 
Factor the numerator is a polynomial of the form x² + bx + c
s² - 3s - 28 = (s - 7)( s + 4)
Substitute
Simplify like terms
Result s + 4
b) 
Factor the numerator is a polynomial of the form x² + bx + c
c² + 5c - 24 = (c + 8)(c - 3)
Substitute
Simplify like terms c - 3
Result c - 3
