Subtract 3/4x from both sides
1/3x-4-3/4x= 3/4x+1-3/4x
-5/12x-4=1
Add 4 to both sides
-5/12x-4+4=1+4
-5/12x=5
Multiply both sides by 12/(-5)
(12/-5)*(-5/12x)= (12/-5)*(5)
x= 12
I hope that's help.
Using Gauss's method
Total number of terms = [15-(-129)]/4+1=36+1=37
Add
S=15+11+7+....-125-129
S=-129-125-...+7+11+15
--------------------------------
2S=-114-114-114...(37 times)
=>
sum=S=(1/2)*(-114)*37=-2109
Using AP, T(n)=15+11+7+....-129
T(n)=19-4n => T(1)=15, T(37)=-129
S(n)=(1/2)(37)(T(1)+T(37)=(1/2)37(15-129)=2109
Answer:
- <u>First blank: the equation of the line that passes through A and B</u>
<u></u>
- <u>Second blank: is a solution of the equation</u>
Explanation:
Three or more points are collinear if and only if they are on the same line, and, thus they are solutions, of the same equation of the line.
When you know two points through their coordinates you can always find the equation of the line:
You can find the slope, m, of that line by using the slope formula:
- m = rise / run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)
And then, you apply the point-slope equation:
Since you know m, x₁, and y₁, your equation is determined.
Once you have your equation, substitute the x and y coordinates with the coordinates of the point C. If, and only if, the equation is satisfied, the point C is on the same line and the three points are collinear.
The sales price is 85% of the original $2,200, which can be calculated as follows: .85(2,200) = 1870 Assuming you meant 15% discount price..
Now we need to find a 7% sales tax, which can be calculated as follows:
.07(1870) = 130.90
Now we add the sale price and the sales tax: 1870 + 130,90 = $2000.90 for the total cost.
Answer:
45 degree
Step-by-step explanation:
