Answer: (-31.09 mi, -20.97 mi)
Step-by-step explanation:
If the noon is our initial time, then we have that 2:30 pm is t = 2.5 hours.
Now, the position (x, y) of the ship can be writen as:
(velocity*time*cos(angle), velocity*time*sin(angle))
or:
(15mph*t¨*cos(214°), 15mph*t*sin(214°))
then the position at t = 2.5 hours is:
(15mph*2.5h*cos(214°), 15mph*2.5h*sin(214°))
(-31.09 mi, -20.97 mi)
Solution:
<u>We know that:</u>
- Given equation: 1/4(x - 2) = 3 - (x + 1/6)
<u>Simplify the distributive property.</u>
- 1/4(x - 2) = 3 - (x + 1/6)
- => x/4 - 2/4 = 3 - x - 1/6
<u>Further simplify both sides.</u>
<u>Subtract 17/6 both sides.</u>
- x/4 - 2/4 - 17/6 = 17/6 - 17/6 - x
- => x/4 - 6/12 - 34/12 = -x
- => x/4 - 40/12 = -x
<u>Subtract x/4 both sides.</u>
- x/4 - x/4 - 40/12 = -x - x/4
- => -40/12 = -5x/4
<u>Use cross multiplication.</u>
<u>Divide -60 both sides.</u>
- -160/-60 = -60x/-60
- => x = 160/60 = 2 40/60 = 2 2/3
Answer:
3. -10
4. 5
5. -4
6. 24
7. 0
8. 46
9. -1
10. 42
11. -4
12. -26
13. 30
14. -5
<em>When an equation says something like </em><em>23 - (-23) </em><em>then you actually add them together because you multiply the inside by </em><em>-1</em><em> to get </em><em>23 + 23</em>
Pyramids by definition have 3 corners so the answer is: A only
