Answer:
friday
Step-by-step explanation:
Wouldn't this be in literature?
Answer:
80
Step-by-step explanation:
The "difference" means the answer using subtraction. Subtract -60 from 20 to find the different between the two numbers.
20 - (-60) When you have two minus signs, it become a plus sign.
= 20 + 60 Add
= 80 Difference between the numbers
Could you do it backwards? Subtract 20 from -60? Yes, but since the difference between two numbers will always be a <u>positive number</u>, you need to use absolute value symbols.
| -60 - 20 | Do -60 -20 first
= | -80 | Apply the absolute value of -80 (make the number positive)
= 80 Difference between the numbers
You do not have to put absolute value if you do 20 - (-60), but you can. For -60 -20, you must use them.
Therefore, the difference between 20 and -60 is 80.
Mary's house is approximately 49.73 miles from her grandmother's house.
The distances the three drove were;
Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.
Explanation:
- The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
- Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.
- Nancy drove √2,840 miles = 53.2916 miles.
- So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.
Answer:
Coordinates of the new library is (150, 70)
Step-by-step explanation:
To get the shortest possible distance means that line from point T to point R has to be perpendicular.
Now, the equation of R is given as;
y = x - 80 - - - (1)
For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.
Thus, slope of T is -1/1 = - 1
Thus, using line - slope intercept of y = mx + c, we can find equation of T as;
140 = -1(80) + c
140 = -80 + c
c = 140 + 80
c = 220
Thus, equation is;
y = -x + 220 - - - (eq 2)
Adding equation 1 to equation 2,we have;
y + y = 220 - 80
2y = 140
y = 140/2
y = 70
Putting 70 for y in eq 1 gives;
70 = x - 80
x = 70 + 80
x = 150
Thus;
Coordinate of the new library is (150, 70)
