Answer:
x+3
Step-by-step explanation:
sqrt(x^2+6x+9)
factor
We know this is a perfect square trinomial
sqrt(( x+3)^2)
Taking the square root of a square
x+3
Answer:
x=5
Step-by-step explanation:
4x-10=10
4x=20
x=5
First make the dash an x. Then move over to the other side of the = so it looks like this:
-5=-13-x
You take -13 to the other side of the equal sign so it looks like this:
-5+13=-x
Then:
8=-x or x=-8
Hopefully that makes sense.
This looks like an ellipse.
Complete the square for y: 9(y²-6y-7)=9(y²-6y+9-9-7)=9((y-3)²-16).
Rewrite the equation:
4x²+9(y-3)²-144=0; 4x²/144+9(y-3)²/144=1; x²/36+(y-3)²/16=1.
Standard equation of an ellipse is (x-h)²/a²+(y-k)²/b²=1, where (h,k) is the origin or centre.
This is the equation of an ellipse with centre (0,3), a=6 and b=4 (semimajor and semiminor axes).
A. ∠ACE ≅ ∠ACE
This is correct.
