The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18
<h3>How to determine the equation of the line?</h3>
The points are given as:
(x1, y1) = (2, -12)
The slope is given as:
m = 3
The equation of the line is calculated using:
y = m(x - x1) + y1
So, we have:
y = 3(x - 2) - 12
Open the bracket
y = 3x - 6 - 12
Evaluate
y = 3x - 18
Hence, the equation of the line is y = 3x - 18
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Answer:
10
Step-by-step explanation:
First, factorize the number 3,240:

So,

Now consider the fraction

If k = 10, then

is a square number.
For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).
Or you can simply check the values of the fraction for all k < 10:
- k = 1,
is not a square number; - k = 2,
is not a square number; - k = 3,
is not a square number; - k = 4,
is not a square number; - k = 5,
is not a square number; - k = 6,
is not a square number; - k = 7,
is not a square number; - k = 8,
is not a square number; - k = 9,
is not a square number.
Answer:
A. mean 71.33, median 86, mode 90 90 100 100, range 55
B. mean 79.41, median 36.5, mode 90, range 60
c. mean 73.16, median 2, mode 75 75 80 80, range 45
Step-by-step explanation:
mean is the average so add all numbers then divide by the number of number
mode is the number that is often seen
range subtract the smallest from largest or the other way around
median the middle number when lined all number from less to biggest
Answer: Vertex
Step-by-step explanation:
To solve this exercise you must keep on mind the definitions shown below:
1. By definition, a regular pyramid is a right pyramid whose base is a regular polygon.
2. By definition, a regular polygon is a polygon whose sides have equal lenghts.
3. By definition the apex (which is the vertex at the tip of the pyramid) of a right pyramid lies directly above the center of the base.
Therefore, keeping the above on mind, you can conclude that:
A regular pyramid has a regular polygon base and a Vertex over the center of the base.