Answer:
234
Step-by-step explanation:
From the given information :
The 4th term, a4
a1 = 3
a2 = 4(a1) + 2
a2 = 4(3) + 2 = 14
a3 = 4(a2) + 2
a3 = 4(14) + 2
a3 = 58
a4 = 4a3 + 2
a4 = 4(58) + 2
a4 = 232 + 2
a4 = 234
<span>x = 4
Given the description of the triangles, you have 2 similar right triangles. The smaller triangle has a height of 20 and a base of 3x, while the larger has a height of (20+8) = 28 and a base of 4x + 2. We wish to determine the value of x. Since the triangles are similar, the ratio of corresponding sides will be a constant. So:
20/28 = (3x)/(4x+2)
(4x+2)20/28 = (3x)
(20/28)*4x+(20/28)*2 = (3x)
(80/28)*x+(40/28) = (3x)
(20/7)*x + 4/7 = 3x
4/7 = 3x - (20/7)*x
4/7 = (21/7)x - (20/7)*x
4/7 = x/7
4 = x
So the value of x is 4.</span>
Answer: The correct option is
(A) If F and G differ by a constant, then f = g.
Step-by-step explanation: According to the given condition, we have
We are to select the correct statement.
Let F(x) = p(x) and G(x) = p(x) + c, c - constant.
Then, we get
Therefore,
Thus, if F and G differ by a constant, then f = g.
Option (A) is CORRECT.
Answer:
7
Step-by-step explanation:
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