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3 years ago

The slope of the line below is 1 .write the point slope equation for the line using the coordinates of the labeled point. (5,7)

Mathematics

1 answer:

wariber [46]3 years ago

3 0

Answer:

y - 7 = 1 (x-5)

Step-by-step explanation:

The point slope equation of a line is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given the following

m = 1

(x0, y0) = (5, 7)

Substitute into the formula

y - 7 = 1 (x - 5)

y - 7 = x -5

y = x - 5 + 7

y = x + 2

Hence the point slope equation of the line is y - 7 = 1 (x-5)

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Natasha_Volkova [10]

Answer:

x = 2, y = -1.

Step-by-step explanation:

2x + y = 3

x - y = 3

Adding the 2 equations eliminates y:

3x = 6

x = 2.

Substitute for x in the first equation:

2(2) + y = 3

y = 3 - 4

y = -1.

Check the results by substitution in equation 2:

2 - (-1)

= 2 + 1 = 3 .

Checks OK.

6 0

3 years ago

Read 2 more answers

Given that f(–2.4) = -1 and f(-1.9) = -8, approximate f'(-2.4). f'(-2.4)

lora16 [44]

Answer:

f'(-2.4) ≈ -14

General Formulas and Concepts:
Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Functions

Function Notation

Calculus

Differentiation

Derivatives
Derivative Notation

Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the tangent line.

Step 1: Define

Identify.

f(-2.4) = -1

f(-1.9) = -8

Step 2: Differentiate

Simply plug in the 2 coordinates into the slope formula to find slope m.

[Derivative] Set up [Slope Formula]: $\displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}$
Substitute in coordinates: $\displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}$
Evaluate: $\displaystyle f'(-2.4) \approx -14$

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Learn more about derivatives: brainly.com/question/17830594

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

6 0

3 years ago

Help please

mezya [45]

Answer:

Step-by-step explanation:

Remark

My guess is that what is confusing you is not what you have to do, but why it is disguised as g(n)

What you are doing in effect is setting up a table. You are also not certain where the table starts. And that is a problem. I will start it at zero, but it might be 1.

zero

n = 0

g(0) = 34 - 5*0

g(0) = 34

One

n = 1

g(1) = 34 - 5*1

g(1) = 34 - 5

g(1) = 29

Two

g(2) = 34 - 5*2

g(2) = 34 - 10

g(2) = 24

Three

g(3) = 34 - 5*3

g(3) = 34 - 15

g(3) = 19

Four

g(4) = 34 - 5*4

g(4) = 34 - 20

g(4) = 19

Answer

0 1 2 3 4

34 29 24 19 14

7 0

3 years ago

How would you convert the repeating, non terminating decimal into a fraction? Explain the process as you solve the problem 0.151

lorasvet [3.4K]

Divide 1515 by 100 and you would get 15.15 the divide the .15 by 3 and and you will get 3.5 so the answer will be 15 3/5

5 0

3 years ago

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The region r is bounded by the parabola y = x2 and the line y = 4. set up definite integrals to find the moment mx of r about th

nikklg [1K]

Consider this option:
Volume is 256π/5, area is 32/3.
Details are in the attachment.
P.S. intersection points are (-2;4) and (2;4).

4 0

3 years ago

The slope of the line below is 1 .write the point slope equation for the line using the coordinates of the labeled point. (5,7)​

The slope of the line below is 1 .write the point slope equation for the line using the coordinates of the labeled point. (5,7)