![\rm \dfrac12=\dfrac{a+b}{a-b}](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac12%3D%5Cdfrac%7Ba%2Bb%7D%7Ba-b%7D)
Let's multiply both sides by 2,
![\rm 1=2\dfrac{a+b}{a-b}](https://tex.z-dn.net/?f=%5Crm%201%3D2%5Cdfrac%7Ba%2Bb%7D%7Ba-b%7D)
and then multiply both sides by (a-b),
![\rm a-b=2(a+b)](https://tex.z-dn.net/?f=%5Crm%20a-b%3D2%28a%2Bb%29)
distribute the 2,
![\rm a-b=2a+2b](https://tex.z-dn.net/?f=%5Crm%20a-b%3D2a%2B2b)
add b to each side,
and subtract 2a from both sides,
![\rm a-2a=b+2b](https://tex.z-dn.net/?f=%5Crm%20a-2a%3Db%2B2b)
![\rm -a=3b](https://tex.z-dn.net/?f=%5Crm%20-a%3D3b)
![\rm a=-3b](https://tex.z-dn.net/?f=%5Crm%20a%3D-3b)
divide by b to find the ratio,
![\rm \dfrac{a}{b}=-3](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7Ba%7D%7Bb%7D%3D-3)
Hope that helps! :)
Answer:
4.47 Miles
Step-by-step explanation:
To be able to find distance between Sarah and Malia's house, we need to use the distance formula between the two points.
![d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2} - y_{1})^{2} }](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D%20-%20y_%7B1%7D%29%5E%7B2%7D%20%7D)
We have now define the points of both Sarah and Malia's house.
Sarah's House = (5, 2)
Milia's House = (3, -2)
We then substitute the values in the distance formula with the points given.
![d=\sqrt{(5-3)^{2}+(2 --2)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%285-3%29%5E%7B2%7D%2B%282%20--2%29%5E%7B2%7D%7D)
![d=\sqrt{(2)^{2}+(4)^{2}}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%282%29%5E%7B2%7D%2B%284%29%5E%7B2%7D%7D)
![d=\sqrt{4+16}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B4%2B16%7D)
![d=\sqrt{20}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B20%7D)
d = 4.47 miles
Answer:
y = 2x + 5
Step-by-step explanation:
First, you must choose two ordered pairs from the table to solve for the slope (m):
Let (x1, y1) = (0, 5)
(x2, y2) = (1, 7)
Substitute the given values into the following slope formula:
![m = \frac{y2 - y1}{x2 - x1} = \frac{7 - 5}{1 - 0} = \frac{2}{1} = 2](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20%3D%20%5Cfrac%7B7%20-%205%7D%7B1%20-%200%7D%20%3D%20%5Cfrac%7B2%7D%7B1%7D%20%3D%202)
Therefore, the slope (m) = 2.
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, <em>b </em>). It is also the value of y when x = 0. Looking at the given table, (0, 5) reflects the description of the y-intercept. The y-intercept (b) is the y-coordinate of (0, 5).
Given the slope (m) = 2, and y-intercept (b) = 5, the linear equation is:
y = 2x + 5
Please mark my answers as the Brainliest if you find my explanations helpful :)
A- 3 and 4 ... hope this helps uu
Answer:
A and C
Step-by-step explanation: