Answer:
{x | x<3 or x>1}
Step-by-step explanation:
x+2<5
x<5-2
x< 3
x-7> -6
x> -6+7
x>1
symbol U means union
Answer:
-1 = (-3/5)-15 + b
(I don't know the y-intercept bc I don't have a graphing calc but to find it out you just graph it and then see where the line passes thru the y axis)
Area of a Triangle = base * height
Area = 12 inches * 5 inches
Area = 60 inches²
Answer:
79 minutes
Step-by-step explanation:
A plane is travelling at 180 meters per seconds
Convert to km/hr
180× 18/5
= 648 km/hr
Since 648 km equals 1 hour then the number of minutes required for the plane to travel 800 km is
= 1/648 × 800
= 1 hour 19 minutes
Conver the time to full minutes
60 minutes = 1 hour
= 60+19
= 79 minutes
Hence the minutes required for the plane to travel 800km is 79 minutes
Answer:
y-coordinate is 5 or -1.
Step-by-step explanation:
Point A is at (x, 2) and B is at (x+6, 2). Since AB must lie on the line y=2 and be 6 units long. Point C is on the line x = -3 . So let C be at (-3, y).
Since ΔABC is a right angle, then point C must have the same x-coordinate as point A. Therefore, A(-3, 2) and B(2, 2).
The area of ΔABC is 6. So,
9 = 1/2 (b)(h)
where b is the base and h is the height.
so b = 6 and h = AC
Solving this for C gives
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
Point C must lie 3 units above point A or 3 units below the point A. If it lies 3 units above, then it has a y-coordinate of 2 + 3 = 5.
If it lies 3 units below, it has a y-coordinate 2 - 3 = -1.
Therefore, y-coordinate is 5 or -1.
Step-by-step explanation: