Answer:
18.2
Step-by-step explanation:
A tenth is the first decimal, on the right of your unit. 5 to the sky (round up) 4 to the floor (round down)
To determine the length of the hypotenuse, we need a relation that would relate the other legs and the hypotenuse of the triangle. So, we would need to use the Pythagorean theorem which is an equation that relates the hypotenuse with the other legs of a right triangle. It is to be noted that this is only usable for right triangles only. It is expressed as follows:
c^2 = a^2 + b^2
where c is the hypotenuse and a, b are the other legs.
c = √(a^2 + b^2)
c = √(6^2 + 8^2)
c = √100
c = 10 m
Therefore, the length of the hypotenuse with the other legs having a length of 6 and 8 would be 10 m.
Answer:
and

Step-by-step explanation:
The standard equation of a circle is
where the coordinate (h,k) is the center of the circle.
Second Problem:
- We can start with the second problem which uses this info very easily.
- (h,k) in this problem is (-2,15) simply plug these into the equation.
. - We can also add the radius 3 and square it so it becomes 9. The equation.
- This simplifies to
.
First Problem:
- The first problem takes a different approach it is not in standard form. But we can convert it to standard form by completing the square.
first subtract 37 from both sides so the equation is now
.
by adding
to both the x and y portions of this equation you can complete the squares.
and
which equals 49 and 4.- Add 49 and 4 to both sides and the equation is now:
You can simplify the y and x portions of the equations into the perfect squares or factored form
and
. - Finally put the whole thing together.
.
I hope this helps!
Answer:
A.
Step-by-step explanation:
So we are given the function:

To find the inverse of the function, we simply need to flip <em>f(x)</em> and <em>x</em> and then solve for <em>f(x)</em>. Thus:

So the answer is A.
They aren't necessarily equal because, for example, 3/2 = 1 remainder 1 and 5/4 = 1 remainder 1 aren't equal because it takes 2 x 1 = 2 + 1 = 3 while 4 x 1 = 4 + 1 = 5. They are the same quotient and remainer, except they aren't used to check if it multiplys back to the same divended.