Given:
In parallelogram ABCD, two of its vertices are A(-4,0) and B(0,3).
To find:
The equation that represents a line that contain CD.
Solution:
We have,
A(-4,0) and B(0,3)
Slope of AB is
The slope of line AB is 
.
Opposite sides of a parallelogram are parallel and slopes of parallel lines are equal.
In parallelogram ABCD, AB and CD are opposite sides. So, their slopes must be equal.
Slope of line AB = Slope of line CD =
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
Slope of line CD is , it means the line must be of the form
Coefficient of x is only in option a.
Therefore, the correct option is a.
Answer: c) All of the above
Step-by-step explanation:
a) X=the number of color-blind males of the randomly chosen 20 individuals
Thus, X is binomial with n = 20 and p = 0.08.
Y represents the number of color-blind females of the randomly chosen 40 individuals
Thus, Y is also binomial with n = 40 and p = 0.01.
b) However, Z represents the total number of color-blind which is 60. The probability of being color-blind is not equal among all individuals as it is for X (0.08) and Y (0.09). Thus, Z is not binomial.
In conclusion both a and b are correct, which gives the correct answer number c) all of the above.
I believe the answer is t=1.
Answer:
Sum of the sequence will be 648
Step-by-step explanation:
The given sequence is representing an arithmetic sequence.
Because every successive term of the sequence is having a common difference d = -3 - (-9) = -3 + 9 = 6
3 - (-3) = 3 + 3 = 6
Since last term of the sequence is 81
Therefore, by the explicit formula of an arithmetic sequence we can find the number of terms of this sequence
where a = first term of the sequence
d = common difference
n = number of terms
81 = -9 + 6(n - 1)
81 + 9 = 6(n - 1)
n - 1 = 
n = 15 + 1 = 16
Now we know sum of an arithmetic sequence is represented by
Now we have to find the sum of the given sequence
![S_{16}=\frac{16}{2}[-9 + (16-1)6]](https://tex.z-dn.net/?f=S_%7B16%7D%3D%5Cfrac%7B16%7D%7B2%7D%5B-9%20%2B%20%2816-1%296%5D)
= 8[-9 + 90]
= 8×81
= 648
Therefore, sum of the terms of the given sequence will be 648.
