Answer:
Simplifying
4x + 9 = 12x + -3
Reorder the terms:
9 + 4x = 12x + -3
Reorder the terms:
9 + 4x = -3 + 12x
Solving
9 + 4x = -3 + 12x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x' to each side of the equation.
9 + 4x + -12x = -3 + 12x + -12x
Combine like terms: 4x + -12x = -8x
9 + -8x = -3 + 12x + -12x
Combine like terms: 12x + -12x = 0
9 + -8x = -3 + 0
9 + -8x = -3
Add '-9' to each side of the equation.
9 + -9 + -8x = -3 + -9
Combine like terms: 9 + -9 = 0
0 + -8x = -3 + -9
-8x = -3 + -9
Combine like terms: -3 + -9 = -12
-8x = -12
Divide each side by '-8'.
x = 1.5
Simplifying
x = 1.5
Step-by-step explanation:
Answer:
After 4 miles driven by cab the amount would be same in both cities.
Step-by-step explanation:
Let the number of miles be 'x'.
Given:
In NYC
Flat fee of cab = $4
Per mile charge = $1.25
Total cab charges is equal to sum of Flat fee of cab and per mile charge multiplied by number of miles.
Framing in equation form we get;
Total cab charges in NYC = 
In Chicago
Flat fee of cab = $6
Per mile charge = $0.75
Total cab charges is equal to sum of Flat fee of cab and per mile charge multiplied by number of miles.
Framing in equation form we get;
Total cab charges in Chicago = 
Now we need to find number of miles driven so that the amount could same in both cities.
Total cab charges in NYC = Total cab charges in Chicago
Combining like terms we get;
using Division Property we will divide both side by 0.5 we get;
Hence After 4 miles driven by cab the amount would be same in both cities.
The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)
(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)
=>
a) a 3 x 1 column =
| 3 |
| -4 |
| 6 |
b) xi + yj + zk
=> 3i - 4j + 6k
Answer: 0.00724
Step-by-step explanation:
7.24 divide by 1 = 7.24
7.24 divided by 10 = 0.724
7.24 divided by 100 = 0.0724
7.24 divided by 1000 = 0.00724
If the slope is 6/11 then, in y=mx+b form, m will be 6/11. When you multiply 6/11 and -1 you get -6/11. To get the y (-6), you have to add -60/11. So in, y=mx+b form the equation is y=6/11x+(-60/11). To make it standard form, you add negative 6/11x to both sides and then multiply by 11 to get rid of the fractions. So therefore the equation would be:
-6x + 11y = - 60
