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3 years ago

Identify the slope and y-intercept of the line −2x+5y=−30.

Mathematics

1 answer:

guajiro [1.7K]3 years ago

6 0

Answer:

slope = 2/5 , y-intercept = -30

Step-by-step explanation:

-2x + 5y = -30

5y = 2x - 30

y = 2/5x - 6

we know that the general form is:

y = (slope)*x + (y- intercept)

so, from our equation, we can say that...

slope = 2/5

y- intercept = -30

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Graph the equation: y = x + 4. Label the slope and y-intercept on your graph

shtirl [24]

Here where you label the y and slope

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3 years ago

Systems of the Body Constructed Response

fiasKO [112]

Answer:

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2 years ago

A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la

Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between

each two consecutive numbers

- Ex:

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:

- If the first term is a and the common diffidence is d, then

U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d

So the nth term is Un = a + (n – 1)d, where n is the position of the

number in the series

- The formula to find the sum of n terms is

Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0

2 years ago

a boat traveled 14 miles per hour downstream. the trip upstream was at a speed of 10 miles per hour. what is the speed of the bo

MariettaO [177]

Answer:

(im not sure what the first question is asking me)

Speed of the current is 2 miles per hour

Step-by-step explanation:

The reason the current is 2 miles per hour is because it when going down stream they were going 14 miles per hour, going upstream they went 10. The difference is 4mph. So if the current pushes you 2mph when going down stream and holds you 2 mph when going up, the constant speed is 12mph then you add and subtract 2 becuase of the two directions youre traveling. hence 10mph and 14mph.

7 0

2 years ago

The angle of depression from the top of a cruise ship to the top of a sailboat is 22. Sitting above water, the cruise ship is 23

dusya [7]

Answer:

The distance between the cruise ship and the sail boat is 517 feet.

Step-by-step explanation:

The cruise ship is 236 feet tall, and the sailboat is 236 tall; this means the distance between the top of the cruise ship and the top of the sail boat is

236 feet - 27 feet = 209 feet.

We also know that the angel of depression from the top of the cruise ship to the bottom of the cruise ship is 22°. This forms a right triangle as shown in the figure attached.

Now from trigonometry we get:

$tan \: \theta = \dfrac{209}{d}$

$d= \dfrac{209}{tan\:\theta }$

$\boxed{d=517ft}$

The distance between the cruise ship and the sailboat is 517 feet.

3 0

3 years ago