Equation of the given line is:
y = 3x + 2
Slope of the line = m = 3
Since we are to find equation of line parallel to this line, the slope of new line will be the same as slope of parallel lines is the same.
So we are to find a line with slope 3 and passing through the point (10,1). Using the point-slope form of equation we can write:
y - 1 = 3(x - 10)
y = 3x - 30 + 1
y = 3x - 29
⇒
- 3x + y = 29
So option C gives the correct equation of the line.
Answer:
x = 6 and y = 8
Step-by-step explanation:
3^x+ 2^y= 985 and 3^x– 2^y = 473 can be written in column form:
3^x+ 2^y= 985
3^x– 2^y = 473
By summing these two equations we temporarily eliminate y:
2*3^x = 985 + 473 = 1458
Then 2*3^x = 1458. We must find x.
Dividing both sides by 2 yields
3^x = 729
Note that 729 = 3^6. Therefore, x must be 6.
If x = 6, then the first equation becomes
3^6 + 2^y = 985, or
729 + 2^y = 985, or 2^y = 985 - 729 = 256
Note that 2^y = 256 = 2^8. Then y must be 8.
19 feet
convert 2 
into an improper fraction
2 = 
hence the length of the wall is 19 feet
Answer:
8/3
Step-by-step explanation:
keep change flip
-3 1/3 (turn the divide into multiplication) and flip the fraction- 1/2 -2/1
-4/3 times -2/1
