Complete the square to get
Now let
and the intersection can be expressed as a function of 
,
with 
.
X^2 = 73 - y^2
<span>x^2 - y^2 = 55 </span>
<span>substituting in to it </span>
<span>73 - 55 = 2y^2 </span>
<span>18 = 2y^2 </span>
<span>y = 3 </span>
<span>x^2 - 73 - 9 </span>
<span>x = 8 </span>
<span>answer is A</span>
Answer:
10cmsquare
Step-by-step explanation:
name the triangle ABC
use pythagoras theo.
ACsq=ABsq+BCsq
ACsq=5×5 + 4×4
ACsq=25+16
ACsq=41
AC=sq root 41
ar shaded region=(use pythagoras again with the shaded triangle)
root of 41×root of 41-4×4
=41-16
=25
root of 25=5cm
Answer:
The system of inequalities is as follows:
30x + 20y ≥ 61,000
x ≤ 1500
x + y ≤ 2800
x ≥ 0
y ≥ 0
Step-by-step explanation:
The system of inequalities can be explained as follows:
30x + 20y ≥ 61,000 <= Indicating a take in of at least $61,000 in ticket sales.
x ≤ 1500 <= Indicating that 500 reserved seats are available.
x + y ≤ 2800 <= Indicating limit of the paid ticket holders to 2800.
x ≥ 0 <= Indicating ticket x must be equal or greater than 0.
y ≥ 0 <= Indicating ticket y must be equal or greater than 0.
