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vlada-n [284]
1 year ago
15

Recursive formula of the arithmetic sequence 4,9,14,19

Mathematics
1 answer:
lukranit [14]1 year ago
4 0

Answer:

4,9,14,19,24,29,34,39

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Consider the graph shown.
otez555 [7]

Answer:

y = \frac{2}{3} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 4)

m = \frac{4-2}{3-0} = \frac{2}{3}

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = \frac{2}{3} x + 2 ← equation of line

5 0
3 years ago
Joan had 198 dollars to spend on 9 books.After buying them she had 18 dollars. How much did each book cost?
Fed [463]
She spent 20 dollars on each book because if you subtract 18 from 198 you'll get 180 then you divide that by 9 n it leaves you with 20.
3 0
3 years ago
Express 2.6kg as a percentage of 6.5 kg
fredd [130]
2.6  * 100 / 6.5    =  40 %
4 0
3 years ago
Given the point (1, 3) and a slope of 2, write an equation in point-slope form.
Sunny_sXe [5.5K]

Answer:

y=2x+1

Step-by-step explanation:

Since we are given a point and a slope, we can use the point slope formula

y-y_{1} =m(x-x_{1})

m is the slope. In this case, m is 2.

y1 is the y coordinate of the point given. y1 is 3.

x1 is the x coordinate of the point given. x1 is 1

y-3=2(x-1)

Now, we need to get the equation into point slope form: y=mx+b

To do this, we need to get y by itself

First, distribute the 2 on the right

y-3=2*x+ 2*-1

y-3=2x-2

Add 3 to both sides

y-3+3=2x-2+3

y=2x+1

The equation is in y=mx+b form, so our final equation is:

y=2x+1

6 0
2 years ago
Haben knows that the angle of elevation from the top of a rock formation to a stake in the ground 50 feet from its base is 42°.
Murrr4er [49]

Answer:

The height of the rock formation is 45.02\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

tan(42\°)=h/50

solve for h

h=50*tan(42\°)=45.02\ ft

4 0
3 years ago
Read 2 more answers
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