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kherson [118]
3 years ago
14

Urgent: What is an equation of the line perpendicular to y=-x-2 and through (-2,4)?

Mathematics
2 answers:
Aleksandr [31]3 years ago
8 0
Point slope form- y-4=(x+2)
Slope intercept- y=x+6
sasho [114]3 years ago
6 0
Perpendicular line means the gradient will be negative reciprocal. The gradient of the line that is given is -1.

Therefore the gradient of the perpendicular line is -1 / -1 = 1

Now we know the equation is y=x+c

We want to find out what c is.

To do this, we substitute in the coordinates given:

4 = 1(-2) + c

4 = -2 + c

C= 6

Therefore the perpendicular line equation is:

y = x + 6

I hope this has helped you today,

Any questions please ask me in the comments below.

Have a great day!
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The recursive rule for a sequence is an=an-1+7, where a1=15.What is the explict rule for this sequence
posledela

well, the recursive rule of aₙ = aₙ₊₁ + 7, where a₁ = 15, is simply saying that

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well, that's the recursive rule.

so then let's use that common difference and first term for the explicit rule.

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=15\\ d=7 \end{cases} \\\\\\ a_n=15+(n-1)7\implies a_n=15+7n-7\implies a_n=7n+8

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Solve<br> 4(-5)(-2)(-3)<br> show your work&lt;3<br> no links
laila [671]

Answer:

<h2><em><u>-120</u></em></h2>

Step-by-step explanation:

4(-5)(-2)(-3)

= -20 × 6

= <em><u>-120 (Ans)</u></em>

5 0
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Read 2 more answers
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svetoff [14.1K]
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Answer:

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Step-by-step explanation:

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Can I take a picture of the problem and upload for you to see?
eduard
Yes you can …………………………
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