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3 years ago

Please help me! i need to do this by Friday

Mathematics

1 answer:

Masja [62]3 years ago

6 0

Answer:

Step-by-step explanation:

x+118 degrees =180 degrees

x +118 degrees-118degrees =180 degrees - 118 degrees

x =62 degrees

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4 years ago

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3 years ago

Which of the following statements describes one part of completing the square for x 2 + 4x = 32?

Westkost [7]

SOS:

Answer:

Take the square root of 36 and subtract 2.

Step-by-step explanation:

$x^2+4x=32\\(\frac{1}{2}*4=2; 2^2=4) : x^2+4x+4=36\\\sqrt{(x+2)^2}=\sqrt{36}\\ x+2=±6: -2+6=4, -2-6=-8$

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3 years ago

Write a rule for the nth term of the arithmetic sequence:<br><br> a11= 50, d = 7

ivolga24 [154]

Answer:

Required rule for $n^{th}$ is $a_{n}=7n-27$ .

Step-by-step explanation:

Given that,

$a_{11} = 50,\ \ d=7$

From the question: we have to write the $n^{th}$ term of Arithmetic sequence.

Arithmetic Sequence or Arithmetic progression (A.P) : It is a sequence which possess that difference between of two successive sequence is always constant.

$a_{1} ,a_{2},a_{3},a_{4}.....................a_{n-1},a_{n}$

where, $a_{1}$ is the first term of A.P

$d$ is the common difference.

$a_{n}$ is the last term or general term.

The above sequence to be in A.P then their common difference should be equal.

$d=a_{2}-a_{1} =a_{3}-a_{2}=a_{4} -a_{3} ..........................a_{n}-a_{n-1}$

Now, Formula of General Term is $a_{n}=a+(n-1)d$

So, $a_{11}= a+(11-1)d\\ a_{11} = a+10d$

Substituting the value of $a_{11} = 50,\ \ d=7$ we get,

$50=a+10\times7\\50=a+70\\a=-20$

Then General term ( $a_{n}$ ) of given data is

$a_{n}=-20+(n-1)7\\a_{n}=-20+7n-7\\a_{n}=7n-27$

Therefore, Required rule for $n^{th}$ is $a_{n}=7n-27$ .

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3 years ago