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dybincka [34]
3 years ago
13

Pls pls pls help me

Mathematics
1 answer:
Andreas93 [3]3 years ago
8 0

Answer:

<em>48</em>

Step-by-step explanation:

AC = 10

DC² = 10² - 6² = 64

DC = 8

A_{ABCD} = 6 × 8 = 48

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Determine the arithmetic sequence if the fourth term is negative six and the eleventh term is negative thirty four
ICE Princess25 [194]
An arithmetic sequence takes the form

a_n=a_{n-1}+d

where d is the common difference between terms. You can solve for a_n in terms of any of the previous terms of the sequence:

a_n=a_{n-1}+d\implies~a_n=a_{n-2}+2d\implies~a_n=a_{n-3}+3d\implies\cdots\implies~a_n=a_{n-k}+kd

for some integer 1\le k\le n-1

Continuing in this way, you know that the sequence can be defined explicitly in terms of the first term a_1

a_n=a_1+(n-1)d

Given that the 4th term is a_4=-6 and the 11th term is a_{11}=-34, you have the following system of equations.

\begin{cases}-6=a_1+(4-1)d\\-34=a_1+(11-1)d\end{cases}

Solving this system for the two unknowns yields a_1=6 and d=-4.

So, the sequence is given explicitly by

a_n=6+(n-1)(-4)=-4n+5
3 0
3 years ago
A wire is attached at the top of a 500 ft vertical antenna and is staked in the ground 1200 ft from the base of the antenna. how
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1468 is the answer.
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Answer:

L=35cm

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156cm=2*(43+L)

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8 0
3 years ago
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