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Kamila [148]
3 years ago
9

Line that is perpendicular to y=3x-2 and passes through the point (-9,5)

Mathematics
1 answer:
ivolga24 [154]3 years ago
4 0

Answer:

y = -1/3x + 2

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals.

The line y = 3x - 2 has slope 3.

The perpendicular line has slope -1/3.

Now we find the equation of the line that has slope -1/3 and passes through (-9, 5).

y = mx + b

y = -1/3x + b

5 = (-1/3)(-9) + b

5 = 3 + b

b = 2

The equation of the perpendicular is

y = -1/3x + 2

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3 years ago
PLEASE I NEED THIS FAST there are 3 denominations of bills in a wallet: $1, $5, and $10. there are 5 fewer $5-bills than $1-bill
Natalija [7]

The number of $1, $5 and $10 are 49, 44 and 22 respectively.

<h3>How to use equation to find the number of bills?</h3>

There are 3 denominations of bills in a wallet: $1, $5, and $10.

There are 5 fewer $5-bills than $1-bills.

let

x = number of $1 bills

Hence,

number of $5 bills = x - 5

There are half as many $10-bills as $5-bills.

number of $10 bills = 1 / 2 (x - 5)

Therefore,

x + x - 5 + 1 / 2 (x - 5) = 115

2x - 5  + 1 / 2 x - 5 / 2 = 115

2x + 1 / 2 x - 5 - 5 / 2 = 115

5 / 2 x  - 7.5 = 115

2.5x  = 115 + 7.5

x = 122.5 / 2.5

x = 49

Number of $1 bills = 49

Number of $5 bills = 49 - 5 = 44

Number of $10 bills = 1 / 2 (49 - 5) = 22

learn more on equation here: brainly.com/question/13992796

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7 0
2 years ago
3. Write an expression using the fewest terms possible that is equivalent to x+x+x+x-20
Igoryamba

Answer:

4x - 20

Step-by-step explanation:

Combine like terms (those with the same amount of variables:

x + x + x + x = 4x

4x - 20 => Note: You cannot combine these two terms, because they do not have the same amount of variables (one having one variable (x), the other being a constant (no variable) ).

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3 years ago
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Step-by-step explanation:

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3 years ago
The function f(x)=1+1.5ln(x+1) models the average number of free-throws a basketball player can make consecutively during practi
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Answer:

402 days.

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