Answer: The required missing number is 8.
Step-by-step explanation: We are given to find the missing number in the following proportion :
Let the missing number be represented by x.
Then, according to the given information, we have
Thus, the required missing number is 8.
The point will move 37.68 feet in a hour.
The circumference of the circle, also known as the perimeter of the circle, is the measurement of the circle's boundary. The area of a circle, on the other hand, defines the region it occupies. If we open a circle and draw a straight line through it, the length of the line is the circumference. It is typically measured in units such as centimetres or metres.
We have the minute hand is 6 ft long.
So, the radius = 6 feet
Then, the distance travelled by the tip is
= 2πr
= 2 x 3.14 x 6
= 12 x 3.14
= 37.68 feet
Thus, the minutes hand travel 37.68 feet.
Learn more about Circumference here:
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10 - x = -8
x = 10 + 8
x = 18
-----------------------
10 - 18 = -8
An absolute value function has a graph that is V shaped.
The domain is the input (x) value, which can be any real number, so the domain is (-∞,∞)
The range starts at the vertex and goes to infinity.
To find the vertex, set the absolute value part of the equation to 0 and solve for x:
x+3 = 0. x = -3
Now replace x with -3 and solve the full equation:
|-3 +3|-1 = -1
The vertex becomes (-3,-1)
The range is the output value ( Y) , so the range would be [-1,∞)
See attached picture for graph:
Answer:
The graph would be something like this.
Step-by-step explanation:
The domain and range would be (-∞, +∞)
This is because, the function f(x) is valid for any of the values between (-∞, +∞)
Hope it helps.