Answer:
55.5 km
Step-by-step explanation:
speed=distance/time
55.5= 333/6
Answer:
![\frac{8}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B9%7D)
Step-by-step explanation:
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.888.. (1) ← multiply both sides by 10
10x = 8.888.. (2)
subtract (1) from (2) thus eliminating the repeating digits
9x = 8 ( divide both sides by 9 )
x = ![\frac{8}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B9%7D)
Answer:
A. 8x - 9y = -23
Step-by-step explanation:
(-4,-1) and (1/2,3)
We write the equation in slope intercept form y=mx+b
then we convert it into standard form
m is the slope and b is the y intercept
![slope = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
(-4,-1) and (1/2,3)
![slope = \frac{3-(-1)}{\frac{1}{2}-(-4)}](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7B3-%28-1%29%7D%7B%5Cfrac%7B1%7D%7B2%7D-%28-4%29%7D)
![slope = \frac{4}{\frac{1}{2}+4}](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7B4%7D%7B%5Cfrac%7B1%7D%7B2%7D%2B4%7D)
![slope = \frac{4}{\frac{9}{2}}](https://tex.z-dn.net/?f=slope%20%3D%20%5Cfrac%7B4%7D%7B%5Cfrac%7B9%7D%7B2%7D%7D)
![slope = 4*\frac{2}{9}](https://tex.z-dn.net/?f=slope%20%3D%204%2A%5Cfrac%7B2%7D%7B9%7D)
![slope m =\frac{8}{9}](https://tex.z-dn.net/?f=slope%20m%20%3D%5Cfrac%7B8%7D%7B9%7D)
To find out b we plug in (-4,-1) and slope m value in y = mx+b
-1 = (8/9) (-4) + b
![-1 = -\frac{32}{9} +b](https://tex.z-dn.net/?f=-1%20%3D%20-%5Cfrac%7B32%7D%7B9%7D%20%2Bb)
Add 32/9 on both sides
![-1+\frac{32}{9} = b](https://tex.z-dn.net/?f=-1%2B%5Cfrac%7B32%7D%7B9%7D%20%3D%20b)
Take common denominator 9
![\frac{-9+32}{9} = b](https://tex.z-dn.net/?f=%5Cfrac%7B-9%2B32%7D%7B9%7D%20%3D%20b)
![\frac{23}{9} = b](https://tex.z-dn.net/?f=%5Cfrac%7B23%7D%7B9%7D%20%3D%20b)
So equation y = mx + b becomes
![y= \frac{8x}{9} + \frac{23}{9}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B8x%7D%7B9%7D%20%2B%20%5Cfrac%7B23%7D%7B9%7D)
Standard form is Ax + By = C
To get standard form , multiply the whole equation by 9
9y = 8x + 23
Subtract 8x on both sides
-8x + 9y = 23
Multiply the whole equation by -1
8x - 9y = -23
Given we don't know which is the hypotenuse, either FE is, or DF is. Note it can't be DE as the hypotenuse is the longest side and you already know FE is longer than DE.
<span>According to pythagoras: </span>
<span>either FE² = DE² + DF² </span>
<span>or DF² = DE² + FE² </span>
<span>8² = 6² + x² </span>
<span>x² = 64 - 36 </span>
<span>x = √28 = 5.291... </span>
<span>Not one of the given answers so... </span>
<span>x² = 6² + 8² </span>
<span>x² = 36 + 64 </span>
<span>x = √100 = 10 </span>
<span>answer: B) 10 for the frist one</span>
Tell Me if I'm Wrong But I Believe It's 198m3