Answer:
5
Step-by-step explanation:
The radius is a distance on a circle from the center to a point on the circle.
We have both of these points describe here in this definition. Using the distance formula will give us the radius.
The difference between 1 and -3 is 1-(-3)=4.
The difference between 5 and 2 is 5-2=3.
<span><span>√<span><span><span>(<span><span>3<span>x4</span></span><span>y3</span></span>)</span>2</span>⋅<span>(<span><span>6x</span>y</span>)</span></span></span><span><span><span><span>3<span>x4</span></span><span>y3</span></span>2</span>⋅<span><span>6x</span>y</span></span></span>Pull terms out from under the radical.<span><span><span>3<span>x4</span></span><span>y3</span></span><span>√<span><span>6x</span><span>y</span></span></span></span>
Three values that would make this true:
5
4
3
Answer:
15x^2 - 12x^3
Step-by-step explanation:
A rectangular block has 3 parts that play into its volume. length, width and height. The question gives us length and width in the form of x and 3x, so height is what's missing.
It gives us a bit more information saying the sum of its edges is 20. We also have to ask how many lengths, widths and heights are there. That may be a bit hard to understand, but is you are looking at a block I could ask how many edges are vertical, just going up and down. These would be the heights. There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.
Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:
4*x + 4*3x + 4*height = 20
4x + 12x + 4h = 20
16x + 4h = 20
4h = 20 - 16x
h = 5 - 4x
Now we have h in terms of x, which lets us easily find the volume just knowing x. To find the volume of a rectangular block you just multiply the length, width and height.
x*3x*(5-4x)
3x^2(5-4x)
15x^2 - 12x^3
Question doesn't give a specific value for x at all so you should be done there. Any number you plug in for x should get you the right answer
Answer:
f^-1(x) = (x -14)/10
Step-by-step explanation:
You can find the inverse function by solving for y:
x = f(y)
Here, that is ...
x = 10y +14 . . . . . use the definition of f(y)
x -14 = 10y . . . . . . subtract 14
(x -14)/10 = y . . . . divide by the coefficient of y
So, your inverse function is ...
f^-1(x) = (x -14)/10
