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Snezhnost [94]
2 years ago
13

Write an equation that is perpendicular to y=3/5x-1 and passes through the point (9,14)

Mathematics
1 answer:
Leokris [45]2 years ago
8 0

Answer:

y=(-5/3)x+29

Step-by-step explanation:

we will use the base formula y=mx+b

In order to be perpendicular, the slope must be the flipped fraction and have the opposite sign, so our m is (-5/3)

y=(-5/3)x+b

You can plug in the (9,14) point in order to find the b

14=(-5/3)(9)+b

14=(-45/3)+b

14=(-15)+b

14+15=b

29=b

and so altogether our equation is y=(-5/3)x+29

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Vikki [24]

Considering that each student has only one birthday, each input will be related to only one output, hence this relation is a function.

<h3>When does a relation represent a function?</h3>

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

  • The input is the student's name.
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Each student has only one birthday, hence each input will be related to only one output, hence this relation is a function.

More can be learned about relations and functions at brainly.com/question/12463448

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5 0
1 year ago
The third term in an arithmetic sequence is 9 and the fifth term is 21 . If the first term if a1, which is an equation for the n
tino4ka555 [31]

Answer:

A: an = 6n - 9

Step-by-step explanation:

third term in an arithmetic sequence is 9

a3 = a + 2d

a + 2d = 9

the fifth term is 21

a5 = a + 4d

a + 4d = 21

a + 2d = 9 (1)

a + 4d = 21 (2)

Subtract (1) from (2) to eliminate a

4d - 2d = 21 - 9

2d = 12

d = 12/2

d = 6

Substitute d = 6 into (1)

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a + 2(6) = 9

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a = 9 - 12

a = -3

nth term of this sequence = a + (n - 1)d

= -3 + (n - 1)6

= -3 + 6n - 6

= 6n - 9

an = 6n - 9

3 0
2 years ago
Write an equation of the line containing the point (3,1) and perpendicular to the line 5x-3y=5
dusya [7]
Th answer is: y=-1/5x+8/5
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3 years ago
How long in days is a mega second? Hi, I'm helping my little brother with a maths assignment at the moment and I couldn't quite
Marat540 [252]
I've heard of milliseconds, microseconds and nanoseconds, but never a megasecond. By the way: 
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8 0
3 years ago
What is the probability that a red 10 is drawn in a regular deck of cards?
Advocard [28]

Answer:

1/26 or 1 out of 26

Step-by-step explanation:

only 2 red tens

52 cards in a deck

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6 0
3 years ago
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