Answer:
(11, 12)
Step-by-step explanation:
<u>Mid point coordinates:</u>
- x = (x₁ + x₂)/2
- y = (y₁ + y₂)/2
<u>Since midpoint and one endpoint given (10, 4) and (9, -4), the other endpoint:</u>
- x₂ = 2x - x₁ = 2*10 - 9 = 11
- y₂ = 2y - y₁ = 2*4 - (-4) = 12
<u>So the other endpoint is: </u>(11, 12)
Answer:
Option B: x > 0
Step-by-step explanation:
Option A is wrong because 
will be 0. So, the inequality can't be divided by 0.
Option C is wrong because 1 will suffice this inequality. 
Option D is wrong because any value in the root has to be greater or equal to 0 (otherwise, it's imaginary number). -1 will give the latter root a value of root-(-3).
Leaving us with only option B, which is the right answer.
Answer:
.24 meters/second
Step-by-step explanation:
Answer:
Acute angle = 30°
Obtuse angle = 150°
Step-by-step explanation:
Method 1:
Let x represent the measurement of the obtuse angle
Obtuse angle = x
Acute angle = ⅕ of x = x/5
Thus:
x + x/5 = 180° (angels on a straight line)
Solve for x
(5x + x)/5 = 180
Multiply both sides by 5
5x + x = 180 × 5
6x = 900
x = 900/6
x = 150
Obtuse angle = 150°
Acute angle = x/5 = 150/5 = 30°
Method 2:
Since acute angle = ⅕ of the obtuse angle, therefore,
Obtuse angle = 5*acute angle
Let acute angle = x
Obtuse angle = 5x
Equation:
5x + x = 180° (angles on a straight line)
Solve for x
6x = 180
x = 180/6
x = 30
Acute angle = x = 30°
Obtuse angle = 5x = 5*30 = 150°
100 individual boxes comprise one hundred box.......
