Which equation describes a line perpendicular to the line described by? y=3x-5

1 answer:

4 0

A line perpendicular means that the slope is the negative reciprocal of the slope given. Since m=3 in the given equation, the slope in the perpendicular line has to be m = -1/3. The y-intercept can be any number.

So a line perpendicular would be y = -1/3x + b

Since you can plug anything into b, you can get many different answers. For example, y = -1/3x + 7 or y = -1/3x - 2

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In the form of a paragraph, explain the difference between a ray and a segment.

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A ray has only one endpoint and goes on forever in the other direction. A segment has two endpoints

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Answer:

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-8x-2y=-22<br> 16x+7y=17

Nataly [62]

2(-8x-2y=-22)
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3 years ago

Simplify, THEN evaluate for x = 3, y = -4, and z= -2.<br> 7(x - y) - 3(2 + 2x)

Tamiku [17]

Answer: 25

<u>Step-by-step explanation:</u>

7(x - y) - 3(2 + 2x)

= 7x - 7y - 6 - 6x

= x - 7y - 6

for x = 3, y = -4

3 - 7(-4) - 6

= 3 + 28 - 6

= 31 - 6

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8 0

3 years ago

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

we start of at 15, and the next term is obtained by simply adding 7, and so on.

well, that's the recursive rule.

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

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

5 0

3 years ago