Let , coordinate of points are P( h,k ).
Also , k = 3h + 1
Distance of P from origin :
Distance of P from ( -3, 4 ) :
Now , these distance are equal :
Solving above equation , we get :
Hence , this is the required solution.
Answer:
-5≤x <1
Step-by-step explanation:
sqrt( x+5) / sqrt(1-x)
The numerator must be greater than zero since it is a square root
sqrt(x+5) ≥0
Square each side
x+5≥0
x≥-5
The denominator must be greater than zero (the denominator cannot be zero)
sqrt(1-x)> 0
Square each side
1-x > 0
1>x
Putting these together
-5≤x <1
Answer:
g = 12
Step-by-step explanation:
Inequality is 4g + 12 < 60
Solving for g,
4g < 60 - 12
4g < 48
Divide both sides by 4,
g < 48 / 12
g < 12
The total amount of gas she can buy is 12 gallons
Answer:
15
Step-by-step explanation: You would think 15. 810 copies every 9, minutes. Nine divided by 810 equals 90. 90 copies every minute. 1,350 divided by 90 is fifteen. =fifteen.
Answer:
B. $136,960.54
Step-by-step explanation:
Rate = r = 4%
Times = b = 4
Future Value = A = $315,930
No. pf Years = n = 21
Present Value = P = ?
A = P [1 + (r / b)]ⁿᵇ
$315,930 = P [1 + (0.04 / 4]²¹ ˣ ⁴
$315,930 = P [1 + 0.01]⁸⁴
$315,930 = P [1.01]⁸⁴
$315,930 = P x 2.306723
P = $315,930 / 2.306723
P = $136,960.54
