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.
Answer: In the text
Step-by-step explanation:
The length of a rectangle is twice the width. The area of the rectangle is 74 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each square? Estimate the length and width of the rectangle.
The cars travel at a 21MPH difference, so if we divide 460 by 21, we get 21.9
Answer: 21.9 hours
Answer:
B
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
The two marked angles where the transversal crosses the parallel lines are alternate interior angles, so are congruent. This fact gives you the relation you need to solve for x.
4x +12 = 60
4x = 48 . . . . . . subtract 12
x = 12 . . . . . divide by 4
