Step-by-step explanation:
given :
2x - 3y = 11
-6x + 8y = 34
find : the solutions of the system by using Cramers Rule.
solutions:
in the matrix 2x2 form =>
[ 2 -3] [x] [11]
=
[-6 8] [ y] [34]
D =
| 2 -3 |
|-6 8 |
= 8×2 - (-3) (-6)
= 16-18 = -2
Dx = | 11 -3 |
| 34 8 |
= 11×8 - (-3) (34)
= 88 + 102
= 190
Dy = | 2 11 |
|-6 34 |
= 2×34 - (-6) (11)
= 68 + 66
= 134
x = Dx/D = 190/-2 = -95
y = Dy/D = 134/-2 = -67
the solutions = {-95, -67}
The Price of Car A rounded to the Nearest £100 is £12400
The Price of Car B rounded to the Nearest £100 is £16800
The Price of Car C rounded to the Nearest £100 is £14600
Difference between the Rounded Price and Original Price of Car A :
⇒ (£12400 - £12380) = £20
Difference between the Rounded Price and Original Price of Car B :
⇒ (£16800 - £16760) = £40
Difference between the Rounded Price and Original Price of Car C :
⇒ (£14600 - £14580) = £20
From the above, We can Notice that :
The Price of Car B changes by the greatest amount.
77.2%
To find the probably and at least on you must find the probability of none and subtract from one.
The probability of none can be found like so:
(5+6 over 5+6+7)^3 = .228
1 - .228 = .772
Hope this helps!
Answer:
times it by pi
Step-by-step explanation:
Answer:
y = -5x - 8
Step-by-step explanation:
Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.
Now plug in your points
Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.
Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept
2 = -5(-2) + b (b represents the y-intercept)
2 = 10 + b (subtract 10 from both sides)
-8 = b
The perpendicular line looks like this y = -5x - 8
Hope this helps ya! Keep smiling!
