15/10 = 18-x/x is the ratio of the larger to the smaller triangle
Cross multiply:
15x = 10(18 - x)
15x = 180 - 10x
25x = 180
x = 7.2
Plug back in to check
15/10 = 1.5
18-7.2/7.2 = 10.8/7.2 = 1.5 :)
<u>Answer:</u>
The equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is ![y+6=\frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y%2B6%3D%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
<u>Solution:</u>
Given that line passes through (-2, -6) and has slope of 1/3
We have to find the equation of the line
The point slope form is given as
![y-b=m(x-a)](https://tex.z-dn.net/?f=y-b%3Dm%28x-a%29)
where m is the slope of the line and a, b are the x, y coordinates of the given point through which the line passes.
Here in this question, m = 1/3 and a = -2 and b = -6
By substituting in point slope form we get,
![y - (-6) = \frac{1}{3}(x - (-2))\\\\y + 6 = \frac{1}{3}(x + 2)](https://tex.z-dn.net/?f=y%20-%20%28-6%29%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%20-%20%28-2%29%29%5C%5C%5C%5Cy%20%2B%206%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%20%2B%202%29)
Hence the equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is ![y+6=\frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y%2B6%3D%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
Answer:
The graph of a linear equation can either run uphill or downhill. The slope is positive when the line is uphill, while the downhill line represents a negative slope. To find the slope, find two coordinates along the line.
We would need a sample size of 560.
We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal: 95% = 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.
The margin of error, ME, is given by:
![ME=z*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=ME%3Dz%2A%5Csqrt%7B%5Cfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
We want ME to be 4%; 4% = 4/100 = 0.04. Substituting this into our equation, as well as our proportion and z-score,
Answer:
D.
Step-by-step explanation:
Translates horizontally 3.5 units right.