Step-by-step explanation:
To find the equation you must first find the gradient and also look for the points on the graph.
I see point ( 0, 2) and point (4, 1)
Hence first find the gradient before equation
the gradient = y2-y1/x2-x1
y2 = 1
y1 = 2
x2 = 4
X1 =0
if you put in the values it will look like
1-2/4-0
-1/4
the gradient = -1/4
So for the equation the formula is
remember m is the gradient
y - y1 = m ( x - x1 )
so put in the value from only one point so you can choose either (0,2 ) or (4,1 )
I will go with (4, 1)
y - y1 = m ( x - x1 )
y - 1 = m ( x - 4 )
y -1 = -1/4 ( x - 4)
4 ( y-1) = -1(x-4)
4y- 4 = -1x +4
4y - 4 -4 = -1x
4y -8= -1x
4y + 1x -8 = 0
this is the equation.
thanks and good luck.
To determine the ratio, we need to know the formula of the area of an hexagon in terms of the length of its sides. We cannot directly conclude that the ratio would be 3, the same as that of the ratio of the lengths of the side, since it may be that the relationship of the area and length is not equal. The area of a hexagon is calculated by the expression:
A = (3√3/2) a^2
So, we let a1 be the length of the original hexagon and a2 be the length of the new hexagon.
A2/A1 = (3√3/2) a2^2 / (3√3/2) a1^2
A2/A1 = (a2 / a1)^2 = 3^2 = 9
Therefore, the ratio of the areas of the new and old hexagon would be 9.
N- 3 - 4n = 21
-3n = 24
n = -8
hope this helps
In the given problem there are several information's worth taking note of. Based on these information's the rate on the loan can be calculated.It is already given that the Principal amount is $112000. Time is given as 30 years and the final amount as $176400.
Now we have to find the amount of interest first
Interest amount = (176400 - 112000) dollars
= 64400 dollars
As per the formula of simple interest we know that
Interest = Principal * Rate of interest * Time
Rate of Interest = (Principal * Time)/Interest amount
= (112000 * 30)/64400
= 3360000/64400
= 52.17
So the rate of interest on the loan for the period of 30 years was 52.17%
Hello there.
<span>The area of the triangle shown below is 60 cm2. Find the value of x.
</span><span>36
</span>