Slope of required line is 4
Step-by-step explanation:
We need to find the slope of the values given in the table
The formula used to find slope is:
![Slope=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Here ![y_1=-25, x_1=-6, y_2=-1, x_2=0](https://tex.z-dn.net/?f=y_1%3D-25%2C%20x_1%3D-6%2C%20y_2%3D-1%2C%20x_2%3D0)
Putting values and finding slope:
![Slope=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![Slope=\frac{-1-(-25)}{0-(-6)}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B-1-%28-25%29%7D%7B0-%28-6%29%7D)
![Slope=\frac{-1+25}{6}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B-1%2B25%7D%7B6%7D)
![Slope=\frac{24}{6}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B24%7D%7B6%7D)
![Slope=4](https://tex.z-dn.net/?f=Slope%3D4)
Now, ![y_1=-1, x_1=0, y_2=19, x_2=5](https://tex.z-dn.net/?f=y_1%3D-1%2C%20x_1%3D0%2C%20y_2%3D19%2C%20x_2%3D5)
Putting values and finding slope:
![Slope=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![Slope=\frac{19-(-1)}{5-(0)}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B19-%28-1%29%7D%7B5-%280%29%7D)
![Slope=\frac{19+1}{5}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B19%2B1%7D%7B5%7D)
![Slope=\frac{20}{5}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B20%7D%7B5%7D)
![Slope=4](https://tex.z-dn.net/?f=Slope%3D4)
So, Slope of required line is 4
Keywords: Finding Slope
Learn more about Finding Slope at:
#learnwithBrainly
Answer:
the length of the side opposite = 20.6 feet
Step-by-step explanation:
using <em><u>S</u></em><em><u>O</u></em><em><u>H</u></em><em><u>C</u></em><em><u>A</u></em><em><u>H</u></em><em><u>T</u></em><em><u>O</u></em><em><u>A</u></em>
Sin 40 = opp / hyp
Sin 40 = opp / 35
opp = sin 40 x 35
opp = 20.6 feet
Answer:
Number sense and operations, algebra, geometry and spatial sense, measurement, and data analysis and probability. Im a 10th grader in AP calc and I can tell u that is literally all that matters :)
Step-by-step explanation:
Answer: 3 times 9 is 27
Step-by-step explanation:
Answer:
17 units
Step-by-step explanation:
Use the distance formula, ![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_2%20-%20x_1%29%5E2%20%2B%20%28y_2-y_1%29%5E2%7D)
Plug in the points and simplify:
![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_2%20-%20x_1%29%5E2%20%2B%20%28y_2-y_1%29%5E2%7D)
![d = \sqrt{(-8 - 7)^2 + (0-8)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-8%20-%207%29%5E2%20%2B%20%280-8%29%5E2%7D)
![d = \sqrt{(-15)^2 + (-8)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-15%29%5E2%20%2B%20%28-8%29%5E2%7D)
![d = \sqrt{225 + 64](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B225%20%2B%2064)
![d = \sqrt{289](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B289)
![d = 17](https://tex.z-dn.net/?f=d%20%3D%2017)
So, the distance between the points is 17 units