Hey there!
When multiplying variables with the same degree, be sure to add the two degrees being multiplied.
For example;
x * x; both of these terms have the degree of "1" as they are "x^1". Since we are multiplying them, we need to add their degrees.
x^1 * x^1 = x^2
Now that we've broken down what we are doing, let's apply this new knowledge to your problem.
(x^3)(x^-2); Remember to just add the degrees; -2 + 3 = 1
This means our product is x^1, or just x.
I hope this helps!
The slope is -2/3 or -2 over 3
<span> we have that
standard form of equation for parabola:
(x-h)^2=-4p(y-k)
(h,k) --------->being the (x,y) coordinates of the vertex.
Parabola opens downwards because focus is below vertex on the axis of symmetry.
For given problem:
</span><span>vertex: (-3,2)
axis of symmetry: x=-3
p=distance from vertex to focus on the axis of symmetry=2-(-1)=3
4p=12
Directrix: y=2+p=5
Equation:
(x+3)^2=-12(y-2)
the answer is </span>(x+3)^2=-12(y-2)
3a+b+c
The perimeter is two times one side (to account for the opposite) and two times the adjacent side. So if the sides would be x and y, the perimeter would be 2*x + 2*y.
So, knowing that the sum is 16a+8b-6c, if we subtract the given side 5a+3b-4c from this, what remains is two times the "other" side:
16a+8b-6c - 2*(5a+3b-4c) =
16a+8b-6c -10a-6b+8c =
6a+2b+2c
half of that is
(6a+2b+2c)/2 = 3a+b+c
Answer:
principal (p)=$35000
time(t)=8years
rate ( r)=7%
Step-by-step explanation:
- compounded amount(c.a)=p((1+r/100)^t )=$35000((1+7/100)^8)=$60136.5
- compound interest gain=$60136.5-$35000=$25136.5
- Karl gain interest in 1 year=$35000((1+7/100)-1)=$2450
- gain % in 1 year=$2450/$25136.5×100%=9.74%
