The formula for finding the distance between points is √(x-x₁)²+(y-y₁)²
x=0, y=6, x₁=5, y₁=12
√(0-5)²+(6-12)²
√(-5)²+(-6)²
√25+36
√61 is irrational
7.81 points(rounded to nearest hundredth) is the distance between those two points.
Matthew makes $15 money .
<u>Step-by-step explanation</u>:
- Total profit = $25
- Matthew gets 60% of the profit.
Therefore, the Matthew would get 60% of 25.
⇒ (60/100)
25
⇒ 0.625
⇒ $15
The combined payment is 743.75.
The annual amount of insurance is 1560. Dividing this by 12 gives us the monthly amount paid:
1560/12 = 130.
The annual real estate taxes are 1890. Dividing this by 12 gives us the monthly amount paid:
1890/12 = 157.50
We add these to the monthly mortgage payment to find the total amount:
456.25+130+157.50 = 743.75
The midpoints between 4 and 8 would be 6 because 4 5 6 7 8, the middle term is 6
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}
