Answer:
The equation of the line with slope m = 2 and passing through the point (1, 1) will be:
Step-by-step explanation:
We know that the point-slope form of the line equation is
where
- m is the slope of the line
The formula is termed as the point-slope form of the line equation because if we know one point on a certain line and the slope of that line, then we can easily get the line equation with this formula and, hence, determine all other points on the line.
For example, if we are given the point (1, 1) and slope m = 2
Then substituting the values m = 2 and the point (1, 2)
Therefore, the equation of the line with slope m = 2 and passing through the point (1, 1) will be:
The nth term is
an=a1(r)^(n-1)
an=1(2)^(n-1)
a1=1
r=2
the sum of a geometric seequence is
a1=1
r=2
we want to find
(since we minus 1, the highest exponet is 9 so add 1 to make it correct)
The volume of cone is calculated by the formula
, where H is a height of cone and R is a radius of the bottom.
In your case, R=3 cm and R=7 cm. Then
.
Answer: The volume of candy is 21π.
There are many ways to solve simultaneous linear equations. One of my favorite for finding integer solutions is graphing. The attached graph shows the solution to be ...
... (x, y) = (4, 7)
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You can also use Cramer's Rule, or the Vedic math variation of it, which tells you the solution to
is given by
Here, that means
... x = (9·67-5·75)/(9·8-5·3) = 228/57 = 4
... y = (75·8-67·3)/57 = 399/57 = 7
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A (graphing) calculator greatly facilitates either of these approaches.
