120 because 180 divided by 120 is 1.5 which is 150%
For this case we must find a linear equation of the form:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where,
m: slope of the line
b: cutting point with vertical axis.
For the slope we have the following equation:
![m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By_%20%7B2%7D%20-y_%20%7B1%7D%7D%20%7Bx_%20%7B2%7D%20-x_%20%7B1%7D%7D)
Substituting values we have:
![m = \frac {6-5} {1-1}\\m = \frac {1} {0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7B6-5%7D%20%7B1-1%7D%5C%5Cm%20%3D%20%5Cfrac%20%7B1%7D%20%7B0%7D)
We observe that the slope of the line is not defined.
Therefore, the line is vertical.
Thus, the equation of the line is given by:
![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
Answer:
The equation of the line is given by:
![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
<h3>
Answer:</h3>
f(x) = 11.93·1.42^x
<h3>
Step-by-step explanation:</h3>
I entered the data into a graphing calculator and made use of its exponential regression function to find the coefficients of ...
... y = a·b^x
It told me ...
... a ≈ 11.9304, b ≈ 1.41885
In accordance with the problem statement, these values are rounded to hundredths to get the answer.
_____
<em>Comment on the graph</em>
The given points and two curves are show. The solid red curve is the exponential regression curve produced by the calculator. The dotted blue curve is the one you get when you round the numbers to the nearest hundredth.
The ratio of the figure is ![\frac{a}{j} =\frac{c}{k} .](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bj%7D%20%3D%5Cfrac%7Bc%7D%7Bk%7D%20.)
Step-by-step explanation:
Step 1:
The given figure of two triangles. A smaller triangle and a larger triangle. The smaller triangle has sides measuring a and c. The second and larger triangle has sides measuring (a + b) and (c + d).
From the given diagram, we have
and ![k=c+d.](https://tex.z-dn.net/?f=k%3Dc%2Bd.)
So the second larger triangle has sides measuring j and k.
Step 2:
If a ratio is given, both sides of the ratio must have the corresponding side lengths of the given triangles.
On the left side of the ratio, we have the terms a and j, which are the side lengths of the smaller and larger triangles respectively.
Similarly, the right side has a ratio of c and an unknown term. The term c is the length of the smaller triangle whereas k is the length of the larger triangle.
So the ratio of the figure is ![\frac{a}{j} =\frac{c}{k} .](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bj%7D%20%3D%5Cfrac%7Bc%7D%7Bk%7D%20.)