Answer:
2.512
Step-by-step explanation:
the equation for circumference of a circle is
2(pi)r
plug in the 4
2(pi)4
combine like terms
8(pi)
you can leave the answer as is or you can multiply
8(3.14)= 2.512
the answer would be 2.512
***pi is equal to 3.14, if you are not allowed to keep your answer in terms of pi there is a pi button on the calculator you can use, or simply plug in 3.14
Answer:
-5 < x <=-2
Step-by-step explanation:
9<=1-4x<21
Subtract 1 from each side
9 -1<=1-1-4x<21-1
8 <= -4x < 20
Divide each side by -4. That means to flip all inequalities
8/-4 >= -4x/-4 >20/-4
-2 >=x > -5
-5 < x <=-2
<h3>
Answer:</h3>
- A. (x, y) = (1, -1)
- B. (1, -1), (2, 0)
- C. (0, 3). This is where their graphs cross, meaning g(x) = f(x) at that point.
<h3>
Step-by-step explanation:</h3>
A solution to a pair of equations is the set of points where their graphs intersect. Points in that set will satisfy both equations, which is what "solution" means.
Here, the graphs of p(x) and f(x) each intersect the graph of g(x) in one place. Hence f(x) = g(x) has one solution, as does p(x) = g(x).
Finding the solution is a matter of reading the coordinates of the point of intersection from the graph.
A. The graphs interesect at x=1, y=-1.
B. Any point on the red line is a solution. We already know one of them from part A. Another is the x-intercept, where y=0. That point is (2, 0).
C. g(x) intersects f(x) at their mutual y-intercept: y = 3. x = 0 at that point.
I can't exactly SHOW you where to put the numbers, but I can teach you the process of how you'd do it.
First off, label your number line from 0-15, as it is the simplest. (You'd be counting by 1 per each line). Then, follow this process:
1) Look at the first digit of your value. Place your number according to your first digit. (So, you'd put 0.365 at the 0 line and 3.521 at the 3 line)
2) Look at the second digit of your value. Imagine that between the two main lines (0-1 and 3-4) that there is 10 smaller lines. Then, you can place your number according to your second digit. (So, you'd put 0.365 at the 0.3 line and 3.521 at the 3.5 line).
3) Look at the third digit of your value. Imagine that between the two smaller lines (0.3-0.4 and 3.5-3.6) that there is 10 smaller lines. Then, you can place your number according to your third digit. (So, you'd put 0.365 at the 0.36 line and 3.521 at the 3.52 line).
4) Look at the fourth digit of your value. Imagine that between the two even smaller lines (0.36-0.37 and 3.52-3.53) that there is 10 smaller lines. Then, you can place your number according to your fourth digit. (So you'd place 0.365 at the 0.365 line and 3.521 at the 3.521 line)