the distance from the origin is 5, so
sqrt(x²+y²)=5
x²+y²=25
substitue y=x²
y+y²=25
y²+y-25=0
solve using calculator or the formula
to get
y =( -1+sqrt(1+4*25))/2
or y = (-1-sqrt(1+4*25))/2
the second solution is rejected because a square cannot be negative
the value of x is the positive or negative (sqrt... or -sqrt...) or y
Answer: 0.2 reduced as a fraction 1/5
Answer:
7/10
Step-by-step explanation:
3/10+2/5=3/10+4/10=7/10
Answer:
Peter swam 12 hours, Pam swam 6
Step-by-step explanation:
Pam = x
Peter = y
y = 2x (this is because Peter swam twice as much)
y + x = 18 (this is because they both swam a total of 18 hours)
2x + x = 18 (substitute for y)
3x = 18
x = 6 (pam)
Now, I just need to substitute x = 6 into original equation.
y = 2(6)
y = 12 (peter)
44 - 1 + 7q = 106
43 + 7q = 106
7q = 63
q = 9