Answer:
I believe the answer would be option D
Step-by-step explanation:
the distance formula is

So, substituting the values of the coordinates, you will get the answer of D
Answer:
nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
Step-by-step explanation:
we know that
The <u><em>Power of a Power Property</em></u>
, states that :To find a power of a power, multiply the exponents
so

In this problem we have
![9^{\frac{1}{3}} =\sqrt[3]{9}](https://tex.z-dn.net/?f=9%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%3D%5Csqrt%5B3%5D%7B9%7D)
Remember that
![\sqrt[3]{9}=9^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B9%7D%3D9%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
Raise to the third power
![[9^{\frac{1}{3}}]^3](https://tex.z-dn.net/?f=%5B9%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5D%5E3)
Applying the power of power property



therefore
nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
Answer:
Step-by-step explanation:
5x + 3 = 23 x=4
5. 4 = 3a – 14 a=6
6. 2y + 5 = 19 y=7
Answer:
18 in^2
Step-by-step explanation:
<em>1 )The three sides of the gutter add up to 12</em>
2x+ y = 12
<em>2) Subtract 2x from both sides. </em>
y = 12 — 2x
<em>3 )Find the area of the rectangle in terms of x and simplify.</em>
Area = xy = x(12 — 2x) = -2x^2+12x = f(x)
<em>4 ) x=-b/2a</em>
<em>x co-ordinate of the vertex= -12/2(-2)=3</em>
<em>5 )Plug in 3 for x into they equation.</em>
y co-ordinate of the vertex= 12 — 2(3) = 6
<em>6 ) Plug in 3 for x and 6 for y. </em>
Area= xy = 3(6) = 18
RESULT
18 in^2