Answer:
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Answer:
8x^8/3 y^4 - The first option
Step-by-step explanation:
The first thing we need to do is the exponent outside the bracket and leave the 8 till last, because exponents always come before multiplying coefficients. When an term with an exponent is multiplied by another exponent outside a bracket, the exponents of both terms are multiplied by the exponent outside the bracket.
This means that the expression is now:
8(x^2*4/3 y^3*4/3)
First we can so the x term. The x term already has an exponent of 2, so the 2 is multiplied by the 4/3 exponent outside the bracket. 2*4/3 = 8/3, so the x term is now: x^8/3
The same happens to the y term: 3*4/3 simplifies to 4, so the y term is now y^4.
So now our expression is:
8(x^8/3 y^4)
Now the 8 outside the bracket simply multiplies on to the whole term so we finish with:
8x^8/3 y^4 - The first option.
Hope this helped!
Answer:
Option C
Step-by-step explanation:
Standard equation:
r^2 = (x-h)^2 + (y-k)^2
Radius: r
Center: (h,k)
Plug the values in.
r^2 = (x+8)^2 + (y-15)^2
Using distance formula, you conclude that the radius is 17 since the distance from (-8,15) to (0,0) is 17.
r^2 = 289
That means option C is the right answer.
289 = (x+8)^2 + (y-15)^2
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