<u>Given</u>:
The given expression is ![a^2x^2-2cx^2+a^2y-2cy](https://tex.z-dn.net/?f=a%5E2x%5E2-2cx%5E2%2Ba%5E2y-2cy)
We need to determine the expression that is equivalent to the given expression.
<u>Equivalent expression:</u>
The equivalent expression can be determined by solving the expression.
Let us solve the polynomial function by factoring.
First, we shall group the expression.
Thus, we get;
![x^2(a^2-2c)+y(a^2-2c)](https://tex.z-dn.net/?f=x%5E2%28a%5E2-2c%29%2By%28a%5E2-2c%29)
Factoring out the common term
, we get;
![(x^2+y)(a^2-2c)](https://tex.z-dn.net/?f=%28x%5E2%2By%29%28a%5E2-2c%29)
Thus, the expression that is equivalent to the expression
is ![(x^2+y)(a^2-2c)](https://tex.z-dn.net/?f=%28x%5E2%2By%29%28a%5E2-2c%29)
Hence, the equivalent expression is ![(x^2+y)(a^2-2c)](https://tex.z-dn.net/?f=%28x%5E2%2By%29%28a%5E2-2c%29)
Therefore, Option C is the correct answer.
Answer:
r=-4
make r the subject and solve
2 1/6 is about 2 and 4 1/2 is about 5 so we multiply the two to get 10
The actual answer would be 13/6 * 9/2 = 117/12 = 9 and 9/12 or 9 and 3/4, so we know the estimate was good
Answer:
58.6.....................
Let the points be (p,q) and (r,s).
The slope is (s-q)/(r-p). The equation is y-s=(s-q)(x-r)/(r-p).
This can be written (y-s)(r-p)=(s-q)(x-r).
y(r-p)-s(r-p)=x(s-q)-r(s-q); y(r-p)=x(s-q)+rs-ps-rs+qr; y=x(s-q)/(r-p)+(qr-ps)/(r-p).
Note that r cannot be equal to p in this standard form. If r=p we have a vertical line x=p.
If q=s we have the horizontal line y=q.