Point, line, and plane are the
undefined expression that relinquish the starting location for geometry. When
we define words, we ordinarily use simpler words, and these simpler words are
in turn defined using yet simpler words. This procedure must eventually abort;
at some stage, the definition must use a word whose meaning is accepted as
intuitively clear. Because that meaning is accepted without definition, we
refer to these words as undefined terms. These terms will be used in defining
other terms. Although these expressions are not formally defined, a brief
intuitive dialogue is needed.
A point is the most fundamental
object in geometry. It is represented by a dot and named by a capital letter. A
point constitute position only.
A line (straight line) can be
thought of as a connected set of infinitely many points. It extends infinitely
far in two opposite directions. A line has boundless length, zero width, and
zero height. Any two points on the line name it. The symbol ↔ written on top of
two letters is used to denote that line.
<span>A plane may be contemplating as
an infinite set of points creating a connected flat surface extending
infinitely far in all directions. It is usually represented in drawings by a
four‐sided figure. A single capital letter is used to designate a plane.</span>
Answer:
For 124 chirps per minute the temperature is 68 ºF.
For 68 chirps per minute the temperature is 54 ºF.
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form
b is the constant term or the y intercept. It is the value of the dependent variable when x = 0.
m is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.
We know that
- At 104 chirps per minute, the temperature is 63 ºF.
- At 176 chirps per minute, the temperature is 81 ºF.
This information can be converted to Cartesian coordinates (x, y). Where x = the number of chirps per minute and y = the temperature in ºF.
To find a linear function that let us find the outside temperature from how fast crickets chirp we must:
Solving for b
Therefore, the linear function is
Now, using this linear function we can know the temperature when we know the chirps per minute:
For 124 chirps per minute the temperature is:
For 68 chirps per minute the temperature is:
Answer:
10
Step-by-step explanation:
because it is 10
Let W = number of wristbands.
Let B = number of belts.
Number equation: W + B = 30
Value equation: 5.50W + 8.75B = 204.00
Multiply the top equation by 5.50 and subtract it from the bottom equation:
5.50W + 8.75B = 204.00 <--- 5.50(W + B = 30)
5.50W + 5.50B = 165.00
---------------------------------
---> 3.25B = 39.00 <--- subtract down the columns
---> B = 12 <--- divide by 3.25
Since W + B = 30 ---> W + 12 = 30 ---? W = 18
There were 12 belts and 18 wristbands.
