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3 years ago

What is the slope of the line shown below?

Mathematics

2 answers:

Alborosie3 years ago

8 0

Answer:

C. 2/3

Step-by-step explanation:

You can use the equation: $y_{2} - y_{1}/x_{2} - x_{1}$ to find the slope.

y2 is equal to the y coordinate of the second point: 1

y1 is equal to the y coordinate of the first point: -7

x2 is equal to the x coordinate of the second point: 9

x1 is equal to the x coordinate of the first point: -3

So if you plug these values into the equation, you will get:

1 - (-7)/ 9- (-3)

= 1 + 7/ 9 + 3

= 8/12

= 2/3

brilliants [131]3 years ago

5 0

Answer:

2/3

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

= (1- -7)/(9 - -3)

= ( 1+7)/( 9+3)

= 8/12

Simplifying

= 2/3

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Solve 0.6(10n + 25) = 10 + 5n ?

Pachacha [2.7K]

Answer: $x=-5$

Simplify both sides of the equation

$(0.6)(10n)+(0.6)(25)=10+5n(Distribute)\\6n+15=10+5n\\6n+15=5n+10$

Subtract 5n from both sides

$6n+15-5n=5n+10-5n\\n+15=10$

Subtract 15 from both sides

$n+15-15=10-15\\n=-5$

5 0

3 years ago

Read 2 more answers

From a radar station, the angle of elevation of an approaching airplane is 32.5 degree. The horizontal distance between the plan

denis23 [38]

Answer: 42.21 km

Step-by-step explanation:

We can solve this using trigonometry, since we have the following data:

$\theta=32.5\°$ is the the angle of elevation

$d=35.6 km$ is the horizontal distance between the plane and the radar station

$x$ is the hypotenuse of the right triangle formed between the radar station and the airplane

Now, the trigonometric function that will be used is cosine:

$cos\theta=\frac{d}{x}$ because $d$ is the adjacent side of the right triangle

$cos(32.5\°)=\frac{35.6 km}{x}$

Finding $x$ :

$x=\frac{35.6 km}{cos(32.5\°)}$

$x=42.21 km$

4 0

3 years ago

(a) The probability that an automobile being filled with gasoline will also need an oil change is 0.35; the probability that it

cricket20 [7]

Answer:

0.714 ; 0.556 ; (A1 n A2 n A3) = 0

Step-by-step explanation:

Given that :

P(oil) = 0.35

P(filter) = 0.45

P(oil n filter) = 0.25

P(filter | Oil) = P(oil n filter) / P(oil)

P(filter | Oil) = 0.25 / 0.35 = 0.714

11)

P(Oil | filter) = P(oil n filter) / P(filter)

P(Oil | filter ) = 0.25 / 0.45 = 0.556

Number of red aces = 2

Queen or king = 4 + 4 = 8

Number on card greater than 3 and less than 8 = {4,5,6,7} = 4 card ; for 4 suits = 4 * 4 = 16

Total number of cards in deck = 52

Choosing without replacement :

Hence,

A1 = 2 / 52

A2 = 8 / 51

A3 = 16 / 50

(A1 n A2 n A3) ;this means card common to all three events.

However, (A1 n A2 n A3) = 0 because ;

1.) No red ace card is greater than 3 and less than 8.

11.) An ace card can neither be a king nor a queen

3 0

2 years ago

The diagram below shows two

LiRa [457]

Answer:

4 cm

Step-by-step explanation:

$\frac{8}{ST} = \frac{4}{2} \\\\ST = 8*2 / 4\\ST = 4$

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2 years ago

Sarah downloaded two apps which were 7.48 kb total. If one app was 4.78 kb, how big was the other app?

Keith_Richards [23]

Answer:

2.7 kb

Step-by-step explanation:

Total kb = 7.48

Total apps = 2

one app = 4.78

another app = x

> 4.78 + x = 7.48

x = 7.48 – 4.78

= 2.7 kb

3 0

2 years ago