Solution:
To classify the system of equations as no solutions, the lines must be parallel (Not intersect).
<u>First, let's identify the equation forming the line.</u>
- Slope = Rise/Run = 2/-3 = -0.66
- Y-intercept = 0
- Equation formed: y = -2/3
We also know that the slope of the equation must be -1.5.
<u>A) 2x + 3y = 0</u>
- 3y = 0 - 2x
- => 3y = -2x
- => (y = -2x/3) ∦ (y = -2x/3)
<u>B) 2x + 3y = 6</u>
- => 3y = -2x + 6
- => (y = -2x/3 + 2) ║ (y = -2x/3)
<u>C) 2x - 3y = 9</u>
- => -3y = -2x + 9
- => y = -2x/-3 + 9/-3
- => (y = 2x/3 - 3) ∦ (y = -2x/3)
<u>D) y = 3x + 2</u>
- (y = 3x + 2) ∦ (y = -2x/3)
Option B is correct.
Entire distance = 1,320
Entire time = 5 hours
bus avg = 40 km/h
plane avg = 600 km/h
Working this by trial and error
1 hour bus 4 hour plane = 40 + 2,400 = 2,800 distance (too high)
2 hour bus 3 hour plane = 80 + 1,800 = 1,880 distance (too high)
3 hour bus 2 hour plane = 120 + 1,200 = 1,320 distance (Correct!!)
So, they traveled 3 hours by bus and 2 hours by plane
(yes, you had the right answer).
Answer:
6/10 and 12/20
Step-by-step explanation:
60/100 devided by 10 is 6/10 and 60/100 devided by 5 is 12/20 hope this helps!
The value of x that will result for the rational expression to be undefined will be the values that will give 0 value for the denominator.
A. 7
<span>2(7)^2 -32 = 66
</span>
<span>B. 4
</span>2(4)^2 -32 = 0 <span>-------> undefined</span>
C. 2
2(2)^2 -32 = -24
<span>D. -2
</span>2(-2)^2 -32 = -24
<span>E. -4
</span>2(-4)^2 -32 = 0 -------> undefined
F. -7
2(-7)^2 -32 = 66
