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3 years ago

Which of the following functions is not linear?

Mathematics

2 answers:

Molodets [167]3 years ago

5 0

Hi there! The answer is A.
Graph A. is not linear because it contains x^2 and therefore is a quadratic function.

Yanka [14]3 years ago

5 0

A linear function can have terms which are made of numbers or numbers multiplied by a single variable with exponent 1 (usually not written). If you have variables multiplied together, exponents other than 1 on variables, variables in the denominator, or variables in a square root, it is not linear.
Look at the choices.
Option A. has x^2. That is not linear.
All others are linear.

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Answer:

The coordinates of the other end is $(16,2)$

Step-by-step explanation:

Given

$End 1: (-6,2)$

$Midpoint: (5,2)$

Required

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Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

$(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

$x = \frac{x_1 + x_2}{2}$ and $y = \frac{y_1 + y_2}{2}$

Where $(x_1,y_1) = (-6,2)$ and $(x,y) = (5,2)$

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$x = \frac{x_1 + x_2}{2}$

Substitute 5 for x and -6 for x₁

$5 = \frac{-6 + x_2}{2}$

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$2 * 5 = \frac{-6 + x_2}{2} * 2$

$10 = -6 + x_2$

Add 6 to both sides

$6 + 10 = -6 +6 + x_2$

$x_2 = 16$

Solving for $y_2$

$y = \frac{y_1 + y_2}{2}$

Substitute 2 for y and 2 for y₁

$2 = \frac{2 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = \frac{2 + y_2}{2} * 2$

$4 = 2 + y_2$

Subtract 2 from both sides

$4 - 2 = 2 - 2 + y_2$

$y_2 = 2$

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Hence, the coordinates of the other end is $(16,2)$

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Answer:

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Step-by-step explanation:

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Answer:

The answer is 2.5

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Answer:

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