-x+y=3
y=x+3
2x + x + 3 =6
3x + 3 = 6
3x = 3
x = 1
-1 + y = 3
y = 4
2(1) + y = 6
2 + y = 6
y = 4
Solution: (1, 4)
        
             
        
        
        
Answer:
Hi,
Step-by-step explanation:
PR²=PQ²+QR²-2*PQ*QR*cos(51°)
=15²+12²-2*15*12*cos(51°)
=142,444659....
PR=11.9350...
PQ²=QR²+PR²-2*QR*PR*cos(R)
cos(R)=(12²+142.444...-15²)/(2*12*11.9350...)=0,21451112....
angle R=77,61315...°≈77.6°
angle P=180°-51°-77.6°≈51,4°
 
        
             
        
        
        
Answer:
Step-by-step explanation:
The expression equivalent to 3x^2y^3 is
A. ( 9x^4y^6)^1/2
 
        
             
        
        
        
Answer:
46.25 feet squared
Step-by-step explanation:
base area = 5x2 = 10
you need to find how tall the faces of the prism are now. You can do this using the pythagorean theorem: a^2+b^2=c^2
5^2+2.5^2=c^2 and 5^2+1^2=c^2
(since it is a rectangular pyramid)
c= 5.60 and c= 5.01
now be can find the surface area of the 4 triangles
SA= 5.60x2 and SA= 5.01x5
SA=11.2 and SA= 25.05
add all the components (11.2, 25.05, 10) together to get the final surface area: 46.25