A. Ab and cd are skew lines
B. Ab and cd are perpendicular
C. Ab and cd intersect at a single point
D. Ab ll cd
E. Ab is perpendicular to cd
F. Ab and cd are coplanar
Answer:
I think it's 4x +8 =100
Step-by-step explanation:
x in this equation is the number of cookies baked last week.
7) 12, 7, 2, -3,...
Answer:
Let's find the recursive formula, explicit formula, and the indicated term for the given arithmetic sequences.
Sequence 1: 1, 4, 1, 10, ...
To find the recursive formula, we need to identify the pattern between consecutive terms. Looking at the sequence, we can see that each term alternates between adding 3 and subtracting 3.
Recursive formula:
a1 = 1 (the first term)
an = an-1 + (-1)^(n+1) * 3
For example, to find the 4th term (a4) using the recursive formula:
a1 = 1 (the first term)
a2 = a1 + (-1)^(2+1) * 3 = 1 + (-1) * 3 = -2
a3 = a2 + (-1)^(3+1) * 3 = -2 + 1 * 3 = 1
a4 = a3 + (-1)^(4+1) * 3 = 1 + (-1) * 3 = -2
Explicit formula:
To find the explicit formula, we need to identify the common difference. In this case, since the terms alternate between adding 3 and subtracting 3, the common difference is not constant.
Indicated term:
To find the indicated term, we need to know which term is being referred to. Please provide the term number or the position of the term in the sequence so that I can assist you further.
-----------------------------------------------------------
Sequence 2: 12, 7, 2, -3, ...
To find the recursive formula, we need to identify the pattern between consecutive terms. Looking at the sequence, we can see that each term decreases by 5.
Recursive formula:
a1 = 12 (the first term)
an = an-1 - 5
For example, to find the 4th term (a4) using the recursive formula:
a1 = 12 (the first term)
a2 = a1 - 5 = 12 - 5 = 7
a3 = a2 - 5 = 7 - 5 = 2
a4 = a3 - 5 = 2 - 5 = -3
Explicit formula:
To find the explicit formula, we need to identify the common difference. In this case, the common difference is -5.
Explicit formula:
an = 12 + (n - 1)(-5)
Indicated term:
To find the indicated term, we need to know which term is being referred to. Please provide the term number or the position of the term in the sequence so that I can assist you further.
Please provide the term number or the position of the term in the sequence so that I can help you find the indicated term.
Step-by-step explanation:
The length of the third side is 3.6 units
Let the sides of the triangle be;
x, y and z
So, we have:
x = 3
y = 4
<Z = 60
The length of the third side is then calculated using the following law of cosine
z^2 = x^2 + y^2 - 2xy cos(Z)
So, we have:
z^2 = 3^2 + 4^2 - 2 * 3 * 4 * cos(60)
Evaluate the exponents and the product
z^2 = 9 + 16 - 12
Evaluate the sum and the difference
z^2 = 13
Take the square root of both sides
z = 3.6
Hence, the length of the third side is 3.6 units
Read more about law of cosines at
#SPJ5