Answer:
x = - 4, y = 7
Step-by-step explanation:
Given the 2 equations
- 7x - 2y = 14 → (1)
6x + 6y = 18 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate the y- term
- 21x - 6y = 42 → (3)
Add (2) and (3) term by term to eliminate y
- 15x = 60 ( divide both sides by 15 )
x = - 4
Substitute x = - 4 into either of the 2 equations and evaluate for y
Substituting into (2)
6(- 4) + 6y = 18
- 24 + 6y = 18 ( add 24 to both sides )
6y = 42 ( divide both sides by 6 )
y = 7
Answer:
0.106
Step-by-step explanation:
100 meters= 382 feet (per hour)
60 minutes in an hour
60 seconds in a minute
382/60=6.34 inches per minute (rounded to nearest tenth)
1 minute = 6.34 inches
6.34 / 60 = 0.106 (rounded to nearest thousandth)
<h2>
It takes 3.31 minutes the airplane to climb to a height of 14,000 feet</h2>
Step-by-step explanation:
Angle with horizontal = 15°
Velocity of plane = 272 feet per second angle of ascent is 15 degrees
Velocity of plane = 272 cos 15 i + 272 sin 15 j = 262.73 i + 70.40 j ft/s
Vertical velocity = 70.40 ft/s
Vertical displacement = 14000 ft
We have
Vertical displacement = Vertical velocity x Time
14000 = 70.40 x Time
Time = 198.87 seconds = 3.31 minutes
It takes 3.31 minutes the airplane to climb to a height of 14,000 feet
Answer:
45 square cm
Step-by-step explanation:
To find the area you multiply the length by the width. 5 times 9 is 45
-13>-5x+2>-28 subtract 2 from all expressions
-15>-5x>-30 divide each expression by -5
Be sure to reverse direction of signs when you divide/multiply by a negative value!
3<x<6
So the "graph" will be a infinitely high plane, or area, contained between the two vertical lines x=3 and x=6
