Answer:
EC = 35
Step-by-step explanation:
The whole entire line measures 49
DB measures 30
49 - 30 = 19 or ED
But we’re looking for EC so…
19 + 16 = 35
EC = 35
Answer:
y = -2/3x-9
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -2/3x+b
We have a point we can substitute into the line
-5 = -2/3(-6)+b
Subtract 4 from each side
-5-4 =4+b-4
-9 =b
y = -2/3x-9
We can set it up like this:
Multiply straight...
Simplify...
That's our answer, we can also convert it to decimal.
Answer in fraction form:
Answer in decimal form:
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
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.
