Answer: a = 17/6
Step-by-step explanation:
I will use two laws of indices to solve this question
1. x^a / x^b = x^(a-b)
2. x^a = x^b, => a = b
Using both laws
x³/x^1/6 = x^a
x^(3-1/6) = x^a
3 - 1/6 = a
a = 3 - 1/6
a = (18 - 1)/6 using LCM
a = 17/6
Answer:4.75961
Step-by-step explanation:
7.7x0.35=2.695x1.79=<u>4.75961</u>
Answer:
Step-by-step explanation:
- The products of corresponding x- and y- values of an inverse variation function are constant.
- As x increases, y also increases.
-The product of the coordinate pairs are not equal: (165)(198)=32,670 and (170)(204)=34,680
Slope intercept form is y=mx+b
m=slope
b=y-intercept
the slope is the rate of change of the graph, basically rise/run (change in y divided by change in x)
the y intercept is where the graph intercepts the y axis
we usually use this form because we can find the slope and find where it hits the y axis.
there are other forms that may be helpful later on, but this one is usually the easiest form to find from a graph
Answer:
![(x-1)^2+(y+4)^2=9](https://tex.z-dn.net/?f=%28x-1%29%5E2%2B%28y%2B4%29%5E2%3D9)
Step-by-step explanation:
The equation of a circle is given by:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
Where (h, k) is the center and r is the radius.
The center of the circle is (1, -4).
And the radius is 3.
Substitute:
![(x-(1))^2+(y-(-4))^2=(3)^2](https://tex.z-dn.net/?f=%28x-%281%29%29%5E2%2B%28y-%28-4%29%29%5E2%3D%283%29%5E2)
Simplify. Thus, our equation is:
![(x-1)^2+(y+4)^2=9](https://tex.z-dn.net/?f=%28x-1%29%5E2%2B%28y%2B4%29%5E2%3D9)