Answer:
a=6, b=-12, and c=0
Step-by-step explanation:
The standard format for the quadratic formula is ax^2+bx+c (=0).
If we rearrange the numbers given to look like this formula, we will find the values of a, b, and c.
6x^2=12x We can move over the 12x to the other side.
6x^2-12x=0 There is no visible value of c, but since there is no term without a variable, c=0
6x^2-12x+0=0
So a=6, b=-12, and c=0
We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA=
. Hence CM=GC+GM=3*
. Now, since GM is normal to AB, we have by the pythagoeran theorem that:
Hence, we calculate from this that AC^2= 28, hence AC=2*
=BC. Thus, the perimeter of the triangle is 2+4*
.
Answer:
When it is small & when the sample has things that are different from the population.
Step-by-step explanation:
A small sample has less chance of accurately reflecting a population & too many variables can also negatively influence the study.
9514 1404 393
Answer:
y = -4x +2
Step-by-step explanation:
The equation you're writing is in slope-intercept form. The coefficient of x is the slope, which is the "rise"/"run" of the line.
Here, to get from the left point to the right point, you must go down 4 units (rise=-4) and 1 unit to the right (run=1). So, the slope is ...
m = rise/run = -4/1 = -4
The constant in the equation is the y-intercept: the y-coordinate of the point where the line crosses the y-axis. That point is marked as (0, 2), so its y-coordinate is 2.
The equation for the line is ...
y = -4x +2
Answer:
51 feet
Step-by-step explanation:
Let
x -----> the height of a flagpole
we know that
Using proportion
