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lesya [120]
3 years ago
6

What is the slope of the line?​

Mathematics
2 answers:
Eddi Din [679]3 years ago
8 0

Answer:

-1

Step-by-step explanation:

Choose two point on that line such as (1,1) and (2,0)

Then use slope formula y-y/x-x

1-0/1-2 = 1/-1  =  -1

Taya2010 [7]3 years ago
7 0

Answer:

Step-by-step explanation:

-1

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Question 3 : enlarge each shape by the scale factor given a) enlager by scale factor -2 using (0,0) as the center of enlargement
Hoochie [10]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the shapes or their coordinates are not given.

The general explanation, however, is as follows:

To dilate a shape around the origin (i.e. (0,0)), we simply multiply the side length of the shape or the coordinates of the shapes by  the scale factor.

Take for instance:

A triangle of side lengths 3,4,5 dilated around the origin by a scale factor of 2.

The new triangle will have 6, 8 and 10 as its side lengths (i.e. we multiply 3, 4 and 5 by 2).

Another instance is:

A rectangle with the following coordinates: (1,1) (4,1), (4,5) and (1,5)

When dilated around the origin by a scale factor of 2, the new rectangle will have the following coordinates: (2,2) (8,2), (8,10) and (2,10)

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3 years ago
Ally surveyed 5 classrooms. She wanted to know the number of students in each class who love painting. The data she collected fr
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Answer:

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Step-by-step explanation:

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2 years ago
Estimate the slope of the tangent line to the curve f(x) = x2 at the point (1, f(1)) by examining the trend in the secant slopes
Ilya [14]

Answer:

f'(1) = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

<u>Calculus</u>

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

Derivative Notation

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x²

Point (1, f(1))

<u>Step 2: Differentiate</u>

  1. Basic Power Rule:                     f'(x) = 2 · x²⁻¹
  2. Simplify:                                     f'(x) = 2x

<u>Step 3: Find Slope</u>

<em>Use the point (1, f(1)) to find the instantaneous slope</em>

  1. Substitute in <em>x</em>:                        f'(1) = 2(1)
  2. Multiply:                                   f'(1) = 2

This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)

8 0
3 years ago
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