So,
Let Mercado's age be m and his daughter's age be d.
Our first equation: m = 37
Our second equation: m = 5 + 4d
Substitute 37 for m
37 = 5 + 4d
Subtract 5 from both sides
32 = 4d
Divide both sides by 4
8 = d
His daughter is 8 years old.
Step-by-step explanation:
y-x=4
There could be two possibilities,
1) y = 4+x
2) y-4 = x
9,374 rounded to the nearest thousands place is 9,000
Answer:
x = 1 ±2sqrt(5)
Step-by-step explanation:
2x^2-4x-9=29
Add 9 to each each side
2x^2-4x-9+9=29+9
2x^2-4x=38
Divide by 2
2/2x^2-4/2x=38/8
x^2 -2x =19
Complete the square
x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2
x^2 -2x +1 = 19+1
(x-1)^1=2 = 20
Take the square root of each side
sqrt((x-1)^2) = ±sqrt(20)
x-1 = ±sqrt(20)
Add 1 to each side
x-1+1 = 1 ±sqrt(20)
x = 1 ±sqrt(20)
Simplifying the square root of 20
x = 1 ±sqrt(4)sqrt(5)
x = 1 ±2sqrt(5)
