Answer:
answer is 4.5
Step-by-step explanation:
i believe that's the length of HD.
The equation of the line containing the given pair of points (4.6 , -8) and (6.6 , 2.2) is y = 5.1 x - 31.46
Step-by-step explanation:
The equation of a line is y = m x + b, where
- m is the slope of the line,
, where
and
are 2 points lie on the line - b is the y-intercept, to get it substitute x and y in the equation by the coordinates of one of the 2 given points
∵ The line contains the points (4.6 , -8) and (6.6 , 2.2)
∴
= 4.6 and
= 6.6
∴
= -8 and
= 2.2
∵ ![m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
- Substitute the values above in the rule of m
∴ ![m=\frac{2.2-(-8)}{6.6-4.6}=\frac{2.2+8}{2}=\frac{10.2}{2}=5.1](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2.2-%28-8%29%7D%7B6.6-4.6%7D%3D%5Cfrac%7B2.2%2B8%7D%7B2%7D%3D%5Cfrac%7B10.2%7D%7B2%7D%3D5.1)
∴ The slope of the line is 5.1
∵ The equation of a line is y = m x + b
Substitute m by 5.1
∴ y = 5.1 x + b
To find b substitute x and y by the coordinates of point (4.6 , -8) OR point (6.6 , 2.2)
∵ x = 6.6 and y = 2.2
∴ 2.2 = 5.1(6.6) + b
∴ 2.2 = 33.66 + b
- Subtract 33.66 from both sides
∴ -31.46 = b
∴ y = 5.1 x + (-31.46)
∴ y = 5.1 x - 31.46
The equation of the line containing the given pair of points (4.6 , -8) and (6.6 , 2.2) is y = 5.1 x - 31.46
Learn more:
You can learn more about the linear equation in brainly.com/question/1284310
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Answer:
19.5 (Rounded: 20)
Step-by-step explanation:
In math, the mean is every number added together, then divided by the amount of numbers. For example, 1,2,5,4,8 would have a median of 4.
<em>(1 + 2 + 4 + 5 + 8 = 20 ÷ 5 = 4)</em>
Your dot plot has 14 total numbers, meaning that you add up all the numbers and divide by 14.
16 + 17 + 17 + 17 + 17 + 19 + 19 + 19 + 19 + 21 + 22 + 22 + 23 + 25 = 273
273 ÷ 14 = 19.5
If you don't need to round, 19.5 is correct. However, if you need to round my best guess is 20. Good luck!
Answer:
-2/3
Step-by-step explanation:
A rational number is a number that can be expressed by a fraction so when y add to fractions it’s a rational number.