Answer:
(4,3)
Step-by-step explanation:
Given
x^2+y^2=25
x-y^2=-5
In order to solve the equations, from equation 2 we get
-y^2= -5-x
y^2=5+x
Putting the value of y^2 in equation 1
x^2+5+x=25
x^2+5-25+x=0
x^2+x-20=0
x^2+5x-4x-20= 0
x(x+5)-4(x+5)=0
(x+5)(x-4)=0
So
x+5=0 x-4=0
x=-5 x=4
Now for x=-5
x^2+y^2=25
(-5)^2+y^2=25
25+y^2=25
y^2=25-25
y^2=0
so Y=0
And for x = 4
x^2+y^2=25
(4)^2+y^2=25
16+y^2=25
y^2=25-16
y^2=9
y= ±3
So the solution to the system of equations is
(-5,0) , (4,3), (4,-3)
The only solution that belongs to first quadrant is (4,3)
Answer:
0.04
Step-by-step explanation:
1680=1500+1500x3xr
1680-1500=1500x3xr
r=180/4500
r=0.04
Answer:
-2b^2+3b
Step-by-step explanation:
You just have to add like terms, which is the single numbers, the numbers with just the variables, and the numbers with variables that are squared.
Answer:
The answer is (b) ⇒
Step-by-step explanation:
∵ 
∵ √x² = x ⇒ that means to cancel the square root divide
the power by 2
∴ 
∵ √4 = 2 ⇒ √2×2 = √2² = 2
∵ √c³ = 
∴ 
∴ 
∵ In the same base with multiplication we add the power,
in same base with division we subtract the power
∴ 
⇒ 
∴ The answer is (b) ⇒ 
2,304 because if you multiply 36 x 64 is 2,304 if not multiply 2,304 x 36 x 64 and then divide the answer by 36 & 64 the it should be 2,304