Yes you did those two correctly
Answer:
Center = (5, -2) and radius = √33
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius of the circle.
In this case;
2x² - 20x + 2y² + 8y =40 ;
Dividing both sides of the equation by 2 we get;
x² - 10x + y² + 4y = 20
we can then use the completing the square on both x and y terms.
x² - 10x + y² + 4y = 20
x² + 2(-5)x + 25 + y² + 2(2) y + 4 = 20 +9 + 4
In standard form we get;
(x-5)² + (y+2)² = 33
Therefore;
Center = (5, -2) and radius = √33
Answer:
Step-by-step explanation:
X^3 = 16
x^3 = 4^2
x = ∛4^2
x = 4^2/3
answer
B. 4^2/3
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x^5 = 16
x^5 = 2^4
x = 2^4/5
answer
D. x = 2^4/5
Answer:
x=16/3=5.33.
Step-by-step explanation:
Isolate x on one side of the equation.
2+x3=18
2+x*3=18
2+x*3-2=18-2 (First, subtract 2 from both sides.)
18-2 (Solve.)
18-2=16
x*3=16
x*3/3=16/3 (Then, divide by 3 from both sides.)
16/3=5.33
x=16/3=5.33
In conclusion, the final answer is x=16/3=5.33.
