"<span>5 to the negative 4th power over 5 to the 3rd</span>" translates to
5⁻⁴ / 5³
So you can just combine exponents.
5⁻⁴ / 5³ = 5⁻⁴ ⁻ ³ = 5⁻⁷ = 1/5⁷
Final answer: 1/5⁷
Answer:
(x + 5)^2 + (y + 8)^2 = 6^2
Step-by-step explanation:
A circle formula: (x - h)^2 + (y - k)^2 = r^2
We are given diameter. To find the radius divide diameter by 2.
d = 12
12/2 = r = 6
H and K are given to be (-5 , -8)
(x - (-5))^2 + (y - (-8))^2 = 6^2
(x + 5)^2 + (y + 8)^2 = 6^2
I have plot this equation to confirm my answer is correct where the origin is (-5 , -8) and has a radius of 6.
Answer: Second Choice. (3, 3)
Step-by-step explanation:
<u>Given point</u>
(x, y) = (-3, 5)
<u>Given the rule for application</u>
(-x, y - 2)
<u>Determine the new x-value</u>
x = -3
-x = - (-3) = 3
<u>Determine the new y-value</u>
y = 5
y - 2 = (5) - 2 = 3
Therefore, the result is
Hope this helps!! :)
Please let me know if you have any questions
The first three statements are correct while the last statement is incorrect.