Answer:
d = 9.8
Step-by-step explanation:
Use the distance formula.
d = √(x2 - x1)^2 + (y2 - y1)^2
d = √(4 - 8)^2 + (6 - (-3))^2
d = √(-4)^2 + 9^2
d = √97
d = 9.8
For this case we have that by definition, the discriminant of a quadratic equation , is given by:
: Two different real roots
: Two equal real roots
: Two different complex roots
If we have , then:
Substituting the values:
Thus, we have two equal real roots.
ANswer:
We have two equal real roots.
Answer:
Step-by-step explanation:
Answer:
He received 10 dimes and 15 quarters.
Step-by-step explanation:
Dimes = $0.10
Quarters = $0.25
Variable x = dimes
Variable y = quarters
Create a pair of linear equations:
0.10x + 0.25y = 4.75
x + y = 25
Isolate any variable, using an equation of your choice:
x + y = 25
x = 25 - y
Plug in this new value of x into the other equation:
0.10(25 - y) + 0.25y = 4.75
Use the distributive property:
2.5 - 0.10y + 0.25y = 4.75
Combine like terms:
2.5 + 0.15y = 4.75
Isolate variable y:
0.15y = 2.25
y = 15
Plug in the value of y into any equation:
x + y = 25
x + 15 = 25
Isolate variable x:
x = 10