Answer:
I think it is C.
Step-by-step explanation:
I could be wrong and if so, my bad.
(ab)^4 means ab times itselv 4 times
multicplication is comutaive so
a^4b^4
2nd option is answer
Answer:
-12
Step-by-step explanation:
Let's replace that blank with x for now ;)
x - (-5) = -7
First, let's change that -(-5) to +5 because subtracting negatives is the same as adding.
x + 5 = -7
Subtract five from each side.
x + 5 = -7
-5 -5
x = -12
So then we change that x back to the blank and fill it in with -12.
Let me know if this helped!
Answer:
The function is A = 10√r
Step-by-step explanation:
* Lets explain the meaning of direct variation
- The direct variation is a mathematical relationship between two
variables that can be expressed by an equation in which one
variable is equal to a constant times the other
- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the
constant of variation
* Now lets solve the problem
# A is varies directly with the square root of r
- Change the statement above to a mathematical relation
∴ A ∝ √r
- Chang the relation to a function by using a constant k
∴ A = k√r
- To find the value of the constant of variation k substitute A and r
by the given values
∵ r = 16 when A = 40
∵ A = k√r
∴ 40 = k√16 ⇒ simplify the square root
∴ 40 = 4k ⇒ divide both sides by 4 to find the value of k
∴ 10 = k
- The value of the constant of variation is 10
∴ The function describing the relationship of A and r is A = 10√r
Answer:
![\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)](https://tex.z-dn.net/?f=%5Cleft%28%20-%5Cdfrac%7B4%7D%7B25%7D%2C%20-%5Cdfrac%7B98%7D%7B25%7D%20%5Cright%29)
Step-by-step explanation:
![x+2y=-8 \\\\y=12x-2](https://tex.z-dn.net/?f=x%2B2y%3D-8%20%5C%5C%5C%5Cy%3D12x-2)
Substitute:
![x+2(12x-2)=-8](https://tex.z-dn.net/?f=x%2B2%2812x-2%29%3D-8)
Expand:
![x+24x-4=-8](https://tex.z-dn.net/?f=x%2B24x-4%3D-8)
Simplify:
![25x=-4](https://tex.z-dn.net/?f=25x%3D-4)
Divide both sides by 25:
![x=-\dfrac{4}{25}](https://tex.z-dn.net/?f=x%3D-%5Cdfrac%7B4%7D%7B25%7D)
Plug this back into one of the original equations to find y:
![-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}](https://tex.z-dn.net/?f=-%5Cdfrac%7B4%7D%7B25%7D%2B2y%3D-8%20%5C%5C%5C%5C%5C%5C2y%3D-7%20%5Cdfrac%7B21%7D%7B25%7D%3D-%5Cdfrac%7B196%7D%7B25%7D%20%5C%5C%5C%5C%5C%5Cy%3D-%5Cdfrac%7B98%7D%7B25%7D)
The ordered pair that represents this solution is therefore:
![\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)](https://tex.z-dn.net/?f=%5Cleft%28%20-%5Cdfrac%7B4%7D%7B25%7D%2C%20-%5Cdfrac%7B98%7D%7B25%7D%20%5Cright%29)
Hope this helps!