The answer
f(x) = 0.7(6)x = <span>f(x) = 0.7(6)^x, and </span><span>g(x) = 0.7(6)–x= </span>g(x) = 0.7(6)^-x=1/<span>0.7(6)^x
so </span>
g(x) =1/<span>0.7(6)^x=1 /</span><span><span>f(x)
</span> the relationship between f and g are </span>g(x) =1 /<span>f(x) or </span><span>g(x) . <span>f(x) = 1</span> </span>
Answer:
Step-by-step explanation:
The answer to this question is 12+6sqrt3.
This is because of the 30, 60, and 90 degree rule. The rule states that the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.
Using the rule you now know that DF is 12. Then use the Pythagorean Theorem to find the length of DE. 12^2=144, and 6^2=36. 144-36=108.
The square root of 108 simplified=6sqrt3.
Then you add them together and get 12+6sqrt3.
9514 1404 393
Answer:
(x +6)^2 +(y -4)^2 = 36
Step-by-step explanation:
The center is (-6, 4) and the radius is 6. Putting those into the standard form equation, you have ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . center (h, k), radius r
(x -(-6))^2 +(y -4)^2 = 6^2 . . . . numbers filled in
(x +6)^2 +(y -4)^2 = 36 . . . . . . cleaned up a bit
Well since we know that the perimeter of a square is four times the length of one of its sides. We just have to divide 5 by 4 to get the length of one side:
5feet /4 sides = 1.25 feet
And to finish off, we have to convert feet to inches:
<u>1 foot </u>= <u>12 inches</u>
1.25 feet x inches
x inches = 12 inches x 1.25 feet ÷ 1 foot
x inches = 15 inches
Therefore, each side is 15 inches long.
Hope this helps!
