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marusya05 [52]
3 years ago
7

Name a pair of perpendicular lines: is line BC and AJ perpendicular: explain ​

Mathematics
1 answer:
wel3 years ago
8 0
A pair of perpendicular lines would be line CF and line AJ.

Line BC and line AJ are NOT perpendicular because when a pair of lines are perpendicular, all angles become 90 degrees. It is obvious, in the case, if you were to slide line BC on top of line AJ, the angles will not equal 90 degrees.
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A line with a negative slope is perpendicular to one of the lines shown. What is its slope? Use the graph shown below. The Slope
goblinko [34]

Answer:

  • The slope for the red line is decreasing and hence the slope must be negative. -1x or simply -x
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7 0
3 years ago
Find a recursive formula for the sequence:<br><br> 1, -1, -7, -25
Mumz [18]
<h3>Answer:</h3>

a_n=3a_{n-1}-4

<h3>Step-by-step explanation:</h3>

<em>Try the answers</em>

You can try the answers to see what works. You can expect all of the choices to match the first two terms, so try some farther down. Let's see if we can get -25 from -7.

a) 3*(-7) -4 = -21 -4 = -25 . . . . this one works

b) -7 -2 = -9 . . . . ≠ -25

c) -3(-7) +2 = 21 +2 = 23 . . . . ≠ -25

d) -2(-7) +1 = 14 +1 = 15 . . . . ≠ -25

The formula that works is the first one.

_____

<em>Derive it</em>

All these formulas depend on the previous term only, so we can write equations that show the required relationships. Let the unknown coefficients in our recursion formula be p and q, as in ...

a_n=p\cdot a_{n-1}+q

Then, to get the second term from the first, we have

... 1·p +q = -1

And to get the third term from the second, we have

... -1·p +q = -7

Subtracting the second equation from the first gives ...

... 2p = 6

... p = 3 . . . . . . . this is sufficient to identify the first answer as correct

We can find q from the first equation.

... q = -1 -p = -1 -3 = -4

So, our recursion relation is ...

a_n=3a_{n-1}-4

6 0
3 years ago
5+2(w-6) how do i rewrite as addition and solve?
Firdavs [7]

Answer:

2w - 7

Step-by-step explanation:

1) Expand by distributing terms.

5 + 2w - 12

2) Collect like terms.

2w + (5 - 12)

3) Simplify.

2w - 7

<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>2w</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>7</u></em><em><u>.</u></em>

7 0
2 years ago
2 thirds of a number plus 5 is greater than 12
Amanda [17]

Answer:

2/3 of n +5>12

Step-by-step explanation:

6 0
2 years ago
(-10x-8)-70 (4x-11) + 46 -43(6x6) -54+ (8x5)
STatiana [176]
I feel like you just put random numbers in to waste someone time... but I did the problem any way.

7 0
3 years ago
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