Answer:
Hence, the correct option is;
They are parallel because they have the same slope of -2
Step-by-step explanation:
Here we have;
AB falls on the line 6x + 3y = 9..........................(1)
CD falls on the line 4x + 2y = 8..........................(2)
Therefore, for equation (1),
3y = 9 - 6x which gives;
y = -2x + 3
for equation (2),
2y = 8 - 4x which gives;
y = -2x + 4
The equation of a straight line is y = m·x + c
Where:
m = Slope
c = Intercept
Hence, since, by comparison to the equation of a straight line, both lines have the same slope of -2, but different intercept, we have that both lines are parallel
Hence, the correct option is;
They are parallel because they have the same slope of -2.
Answer:
15
Step-by-step explanation:
Let n represent the number of twelvths in 5/4.
Expressed symbolically, this is n/12 = 5/4.
The LCD is 12. Multiply numerator and denominator of 5/4 by 3, obtaining:
n/12 = 15/12. Then n = 15.
There are 15 twelves in 5/4.
Answer:
1. $6000
2. 40.9%
3. 51.6%
4. Misc
Explained :
1. 1800 + 150 + 2450 + 1300 + 300 = 6000
2. 2450/6000 = 0.409 = 40.9%
3. 1800 + 1300 = 3100 ; 3100/6000 = 0.516 = 51.6%
4. 300/6000 = 0.005 = 5%
Answer:
The rocket hits the gorund after approximately 10.71 seconds.
Step-by-step explanation:
The height of the rocket <em>y</em> in feet <em>x</em> seconds after launch is given by the equation:
And we want to find the time in which the rocket will hit the ground.
When it hits the ground, its height above ground will be 0. Hence, we can let <em>y</em> = 0 and solve for <em>x: </em>
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We can use the quadratic formula:
In this case, <em>a</em> = -16, <em>b</em> = 165, and <em>c </em>= 69.
Substitute:
Evaluate:
Hence, our solutions are:
Since time cannot be negative, we can ignore the first answer.
So, the rocket hits the gorund after approximately 10.71 seconds.
I believe it is 89 percent :)