Answer:
10 cm
Step-by-step explanation:
The diameter is a chord (line) that connects on both ends of a circle which includes the center point of the circle. The radius comes from the center point of the circle to one end of the circle.
Diameter is therefore 2 radii (radius).
So if diameter is given and you want to find the radius, divide it by two to find the answer.
20 ÷ 2 = 10 cm
x + 3, x > -3 is the piece which will be included in the given function f(x) = [ x + 3 ]. This can be obtained by removing modulus and finding the value for x.
<h3>Which piece will the function include?</h3>
Given that,
f(x) = [ x + 3 ] which is an absolute value function.
Therefore,
| x+3 | > 0
By removing the modulus,
x+3 > 0
x > - 3
Hence x + 3, x > -3 is the piece which will be included in the given function f(x) = [ x + 3 ].
Learn more about absolute value function here:
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Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Consider this absolute value function.
f(x) = [ x + 3 ]
If function f is written as a piecewise function, which piece will it include?
A. x + 3, x > 3
B. x + 3, x > -3
C. -x + 3, x < -3
D. -x - 3, x < 3
Answer:
Jersey cost $8 and pair of shorts $5
Step-by-step explanation:
There are several ways to solve this, but I will find the solution using the system of equations.
Let's mark price of jersey with x, and price of pair of shorts with y. That means:
12x + 12y = 156
4x + 6y = 62
Now, we can multiply the second equation with -2 to cancel out y:
12x + 12y = 156
-8x - 12y = -124
That only leaves us with:
12x - 8x = 156 - 124
4x = 32
x = $8
Now we plug the value for x into any equation to find y:
4x + 6y = 62
32 + 6y = 62
6y = 30
y = $5
The lines of symmetry in this particular picture are the horizontal and vertical lines.
If you were to look at the first quarter, and the vertical line reflects the curves to the second quarter.
Then, if you were to look at the horizontal line, you would see that the line reflects the entire top half to the bottom.
Hope this helps and please consider marking branliest.
Step-by-step explanation:
A. gof=g(f(x))
= g(f(6))
=6×6
36
