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3 years ago

Write an equation in slope intercept form for a line that goes through the point (-9,4) and is perpendicular to line y=-3x-2

Mathematics

1 answer:

nadezda [96]3 years ago

3 0

Answer:

y = 1/3x + 7

Step-by-step explanation:

Perpendicular slope is opposite reciprocal so it will be 1/3

Use the slope and point given and plug into y = mx + b

4 = 1/3 (-9) + b

4 = -3 + b

7 = b

write new equation with new b and m

y = 1/3x + 7

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1. Identify each situation in which a quantity grows or decays by a constant percent rate per unit interval. A. The number of ca

zvonat [6]

Answer:

Step-by-step explanation:

1) For each situation to grow or decay by a constant percent rate, it must be exponential. Therefore, the correct examples are

A. The number of cars sold doubles every year. It is a 200% growth every year.

D. Each time you start a car engine the remaining engine life decreases by 0.0075%. A case of decay

E. The number of people creating cat videos increases by 15% percent every year.

F. Computer technology increases by a factor of 3 every five years.

2) this is a case of exponential decay. The expression for exponential decay is

y = b(1 - r)^t

y = final value

b = initial value

r = decay rate

t = time

Given that

r = 10% = 10/100 = 0.1

b = 50 kilograms

y = W kilograms

The relationship is

W = 50(1 - 0.1)^t

W = 50(0.9)^t

3 0

3 years ago

Need help finding the parallel and perpendicular slope

Rudik [331]

Answer:

Step-by-step explanation:

(x₁, y₁) = (19 , -4) & (x₂ ,y₂) = (17, -20)

$Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$= \frac{-20-[-4]}{17-19}\\\\= \frac{-20+4}{17-19}\\\\= \frac{-16}{-2}\\\\= 8$

m = 8

Parallel lines have same slope.

Parallel slope = 8

Slope of perpendicular line = $\frac{-1}{m}$

Perpendicular slope = $\frac{-1}{8}$

8 0

3 years ago

A teacher gave her class two exams; 60% of the class passed the second exam, but only 48% of the class passed both exams. What p

Levart [38]

The answer is the last one - 48%

3 0

3 years ago

What is t÷5-4=9 what is t ??

Sophie [7]

Add 4 to boh sides
t/5+4-4=9+4
t/5+0=13
t/5=13
times 5/1 both sides
5t/5=5*13
1t=65

t=65

7 0

3 years ago

Which of the pairs of events below is mutually exclusive?

Nady [450]

Answer:

Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

Step-by-step explanation:

Given four pair of events:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards

To find:

Which of the pairs is mutually exclusive?

Solution:

First of all, let us have a look at the definition of mutually exclusive events.

Mutually exclusive events do not have any case in common.

In other words, two events are known as mutually exclusive when both the events can not occur at the same time.

Now, let us have a look at the given options one by one:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

We know that there is only one ace of spades in a standard deck.

Therefore, the two events can not occur one after the other, so these are mutually exclusive events.

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.

The two events can occur one after the other, so these are not mutually exclusive.

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

3 0

3 years ago