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2 years ago

Find the measure of BCD

Mathematics

1 answer:

Lerok [7]2 years ago

4 0

please mark me as brainliest!!

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Solve the equation using square roots. 2x^2-98=0

Yuliya22 [10]

Step-by-step explanation:

2x²-98=0

2x²=98

x²=98/2

x²=49

x=root 49

so,x=7

if it is correct answer then please follow me

3 0

3 years ago

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

Radius of a sphere that has a surface area 12.56in2 use 3.14

enot [183]

$\bf \textit{surface area of a sphere}\\\\
A=4\pi r^2\qquad 
\begin{cases}
r=radius\\
-----\\
A=12.56
\end{cases}\implies 12.56=4\pi r^2
\\\\\\
\cfrac{12.56}{4\pi }=r^2\implies \sqrt{\cfrac{12.56}{4\pi }}=r$

8 0

3 years ago

What is m in this question

solmaris [256]

-16 because you need to subtract -4 from -12

7 0

3 years ago

I have a question?.....Ms. Wallace makes soap to sell at craft fairs. The first bar of soap sells for $2, and each additional ba

Assoli18 [71]

Answer:

Has your teacher given you notes to practice?

Step-by-step explanation:

If no, then break the question down into pieces and write down what you know.

3 0

2 years ago