bearing in mind that perpendicular lines have negative reciprocal slopes, so
![\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~\hspace{10em}\stackrel{slope}{y=\stackrel{\downarrow }{-\cfrac{1}{3}}x-1} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D~%5Chspace%7B10em%7D%5Cstackrel%7Bslope%7D%7By%3D%5Cstackrel%7B%5Cdownarrow%20%7D%7B-%5Ccfrac%7B1%7D%7B3%7D%7Dx-1%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
so we're really looking for a line whose slope is 3 and runs through (1,5)
We would be talking about velocity.
Scalar refers to a speed, but not a given direction.
For me, the easiest way to distinguish a scalar from velocity is to think about the mechanism of scales. A scale can go up and down, left and right, but it doesn't give a specific direction. In a Cartesian plane, the scale of (-4, 0) has the same scale as (4, 0) from the origin at (0, 0) because scale doesn't define a specific directional change in the same way magnitude doesn't have a specific direction.
Velocity, on the other hand, requires a direction because it is defined as the rate of change of an object from its initial position to its final position. In this instance, a direction is required as we need to define an object's acceleration or deceleration.
Answer:
1. (3^3 + 3^2)^2 actually equals (27 + 9)^2
which is the first mistake
2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7
3. 3^7 DOES NOT EQUAL 21
Step-by-step explanation:
when you add powered numbers together, it does not multiply it, as your example:
1. (3^3 + 3^2)^2 actually equals (27 + 9)^2
which is the first mistake
2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7
3. 3^7 DOES NOT EQUAL 21
Answer:
12.5lb
Step-by-step explanation:
5lbs+6lb=11lb
11oz+12oz=1.5lbs
11lb+1.5lb=12.5
Answer:
The mean absolute value is 7.7, when rounded to the nearest tenth.
Step-by-step explanation:
1.) To get the mean absolute deviation you have to find the mean first:
- 32 + 35 + 20 + 16 + 28 + 13 = 144 ÷ 6 = 24
2.) Then, you have to find the difference of each element in your data set that is away from the mean. Then, you have to find the absolute values of the answers:
- 32 - 24 = | 8 | → 8
- 35 - 24 = | 11 | → 11
- 20 - 24 = | -4 | → 4
- 16 - 24 = | -8 | → 8
- 28 - 24 = | 4 | → 4
- 13 - 24 = | -11 | → 11
3.) Then, you have to find the mean of the absolute values:
- 8 + 11 + 4 + 8 + 4 + 11 = 46 ÷ 6 = 7.6666666666666666666666666666667 = 7.7
