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Helga [31]
3 years ago
13

Find the slope of the line shown below. *

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

Answer:  The slope is 2/3

Step-by-step explanation:

The difference in the rise (y-values) 2,  divided by the difference in the run (x-values) 3,  is 2/3.

You can see this by looking at the places where the graphed line crosses the grid, and counting the squares in each direction between those points, or you can use the formula (y - y₁) ÷ (x - x₁)  

Using the values of coordinates (3,1) and (0, -1)

1 -(-1) ÷ 3 - 0

2 ÷ 3

2/3

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Find the first derivative?
professor190 [17]
You could do the question the way it is  written, but it is far easier to bring the negative power up to the numerator.

y= x^2 - 3. The derivative of that is
dy/dx = 2x The three is a constant and is always dropped when a derivative is taken
d(-3)/dx = 0

If you are a purist and want to solve the question the way it is written, you could do it this way.

dy/dx = d(1)/dx x^-2 - d(x^-2)/dx * 1
             ======================                    
                          (x^-2)^2

dy/dx =  - (-2 x^ - 3) / x^-4

dy/dx = 2 x^-3 * x^4
dy/dx = 2 x^(-3 + 4)
dy/dx = 2x ^ 1
dy/dx = 2x <<<<< answer
8 0
3 years ago
Given that triangle ABC is a right triangle, select a set of possible side length measures.
ad-work [718]

You didn't supply any rules or constraints so.... 1 in., 1 in., and 1 in.

You can use the Pythagorean Theorem to check if the side lengths are appropriate.

a^2 + b^2 = c^2

1^2 + 1^2 = 1^2 –this is true.

5 0
3 years ago
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Find the area of the composite figure
irakobra [83]

Answer:

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3 0
3 years ago
I need help with this pleaseee!
ololo11 [35]
Probably B

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7 0
3 years ago
A^2-b^2+4b-4 please solve it step by step i will mark you brainlest
alex41 [277]

Answer:

b = a + 2 or b = 2 - a

Step-by-step explanation:

Solve for b:

-4 + a^2 + 4 b - b^2 = 0

The left hand side factors into a product with two terms:

(2 + a - b) (-2 + a + b) = 0

Split into two equations:

2 + a - b = 0 or -2 + a + b = 0

Subtract a + 2 from both sides:

-b = -a - 2 or -2 + a + b = 0

Multiply both sides by -1:

b = a + 2 or -2 + a + b = 0

Subtract a - 2 from both sides:

Answer:

b = a + 2 or b = 2 - a

3 0
3 years ago
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