So to find the discriminant of a quadratic equation, the formula is b² - 4ac with a = x² coefficient, b = x coefficient, and c = constant. In this case, our equation is 
Firstly, solve the multiplications and the exponents: 
Next, subtract and we find that our discriminant is 0.
*Additional Info: Since the discriminant is zero, this means that this quadratic equation has 1 real solution.
Answer:
$75.65
Step-by-step explanation:
$89 x .15 = $13.35
$89 - $13.35 = $75.65
Answer:
The traveller's speed is 5ft/s and the walkway speed is 3ft/s
Step-by-step explanation:
Given
Represent the traveller's speed with T and the walkway's speed with W.
When the traveller walk against the walkway, we have:
---- i.e. 2ft/s against the walkway
When the traveller walk with the walkway, we have:
---- i.e. 8ft/s with the walkway
Required
Solve for W and T
--- (i)
--- (ii)
Add (i) and (ii)



Divide both sides by 2



Substitute 5 for T in (ii)


Make W the subject


Hence, the traveller's speed is 5ft/s and the walkway speed is 3ft/s
Answer:
Jean-Jacques Rousseau
Step-by-step explanation:
This is not a math question so there is nothing to put here.
Given:
Right triangles:
To find:
The value of c and value of d
Solution:
<u>In the first right triangle:</u>
θ = 45°
Opposite side to θ = 5
Hypotenuse = c


The value of sin 45° = 

Do cross multiplication, we get

<u>In the second right triangle:</u>
θ = 60°
Opposite side to θ = 4
Adjacent side to θ = d



Do cross multiplication, we get

The value of
and
.