Answer:
Step-by-step explanation:
Since the denominator of each of those rational exponents is a 4, that means that the radical is a 4th root. The numerator of each exponent serves as the power on the given base. For example,
can be rewritten as
![\sqrt[5]{2^3}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B2%5E3%7D)
The little number that sits outside the radical, resting in the bend, is called the index. Our index is 4 (same as saying the 4th root). Put everything under the 4th root and let the numerator be the powers on each base:
![\sqrt[4]{6^1*b^3*c^1}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B6%5E1%2Ab%5E3%2Ac%5E1%7D)
which is written simpler as:
![\sqrt[4]{6b^3c}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B6b%5E3c%7D)
Answer:
a) x = 5
b) x = 12
Step-by-step explanation:
x + 3 = 8
Subtract 3 on both sides.
x = 8 - 3
x = 5
x - 5 = 7
Add 5 on both sides.
x = 7 + 5
x = 12
Answer:
First option / a - y = 2x - 2
Step-by-step explanation:
We can tell it'll either be the first one or the second one as the line intercepts the y-axis at -2, so the b will be -2.
The line goes up 2 and over 1, so the slope will be 2. Putting all the pieces together gives us the first option of y = 2x - 2.
Using the pythagorean identity, we can find the value of sin(A)
cos^2(A) + sin^2(A) = 1
(12/13)^2 + sin^2(A) = 1
144/169 + sin^2(A) = 1
sin^2(A) = 1 - 144/169
sin^2(A) = 169/169 - 144/169
sin^2(A) = (169 - 144)/169
sin^2(A) = 25/169
sin(A) = sqrt(25/169)
sin(A) = 5/13
Which is then used to find tan(A)
tan(A) = sin(A)/cos(A)
tan(A) = (5/13) divided by (12/13)
tan(A) = (5/13)*(13/12)
tan(A) = (5*13)/(13*12)
tan(A) = 5/12
The final answer is 5/12
